Method directory
Every method, with its own page.
555 scientifically validated multi-criteria decision-making methods, grouped into 23 families. Every entry opens a page that states what the method does, which assumptions it needs, when not to use it, and how to cite the original paper.
555
Methods
23
Families
Open
CC BY 4.0 dataset
DOI
Citable on Zenodo
Aggregation5
↑ ContentsAggregationOperator16
↑ Contents- AVERAGE-RANKING: Average ranking: per-alternative mean rank
- Borda Count: Positional scoring rule for rank aggregation
- BRAUERS-DOMINANCE: Brauers & Zavadskas (2014) Dominance Theory: used in MultiMOORA aggregation
- Choquet Integral: Non-additive aggregation
- Condorcet Method: Pairwise majority winner from ranked ballots
- COOK-SEIFORD: Cook & Seiford (1978): distance-based ranking aggregation
- Copeland Method: Pairwise majority voting with net win-loss score
- Dodgson Method: Condorcet completion by minimum pairwise swaps
- Kemeny-Young: Optimal rank aggregation minimising Kendall τ disagreement
- MEDIAN-RANKING: Median ranking: per-alternative median rank
- MPF-DOMBI-WA: m-Polar Fuzzy Dombi Weighted Averaging / Geometric MCDM (Akram, Yaqoob, Ali & Chammam 2020 / Akram & Adeel 2023 Ch. 8): single-DM m-PF MCDM ranking via Dombi t-conorm/t-norm-based aggregation operators (mFDWA primary, mFDWG companion) followed by m-PF score-based descending ordering
- NANSON: Nanson: iterative Borda elimination
- PIF-DOMBI: Picture Fuzzy Dombi Aggregation Operators for MADM (Jana, Senapati, Pal & Yager 2019)
- RAT: Reference Alternative based Aggregation Technique
- Schulze Method: Beat-path Condorcet-consistent rank aggregation
- WAM: Weighted Arithmetic Mean
Consistency3
↑ ContentsDEA12
↑ Contents- DEA Cross-Efficiency: peer appraisal using cross-evaluation matrix
- DEA-BCC: Data Envelopment Analysis (BCC / VRS model)
- DEA-DYNAMIC-NETWORK: Dynamic-Network DEA with Carryovers and Bad Outputs
- DEA-ENV: Environmental DEA with Undesirable Outputs (EEI model)
- DEA-NETWORK-SBM: Network Slacks-Based Measure DEA with Window Analysis
- DEA-NETWORK: Two-Stage Network DEA with Undesirable Outputs
- DEA-RAM: Range-Adjusted Measure of Inefficiency
- DEA: Data Envelopment Analysis (CCR model) for efficiency-based ranking
- HFEA: Hesitant Fuzzy Envelopment Analysis (DHFEA / SHFEA, Zhou-Chen-Xu-Meng 2018)
- HFGPE: Hesitant Fuzzy Generalized Peer-Evaluation (strategy-blended cross-efficiency with BFM, Zhou-Chen-Xu-Meng 2018)
- HFPE: Hesitant Fuzzy Peer-Evaluation (benevolent / aggressive cross-efficiency, Zhou-Chen-Xu-Meng 2018)
- HFPEA: Hesitant Fuzzy Preference Envelopment Analysis (DHFPEA / SHFPEA, Zhou-Chen-Xu-Meng 2018)
Defuzzification7
↑ Contents- Alpha-Cut Defuzzification: Crisp interval or representative via α-level cut
- Bisector of Area Defuzzification: Vertical line dividing fuzzy set area equally
- Centroid Defuzzification: Centre of gravity crisp representative
- Gaussian Centroid Defuzzification: Crisp representative of Gaussian fuzzy number
- Mean of Maxima (MOM) Defuzzification: Crisp value at the plateau of maximum membership
- Score Function Defuzzification: Crisp ranking score for IFN/PFN/q-ROFS families
- Type Reduction Defuzzification: Karnik-Mendel algorithm for interval type-2 fuzzy sets
Description1
↑ ContentsDistance9
↑ Contents- CFZN-MARCOS: Complex Fuzzy Z-Number MARCOS Ranking
- Chebyshev Distance: L∞ norm (maximum coordinate difference)
- Euclidean Distance: L2 norm between two vectors in criterion space
- Hamming Distance: count of positions where two equal-length sequences differ
- Mahalanobis Distance: covariance-adjusted distance accounting for inter-criterion correlations
- Manhattan Distance: L1 norm (city-block distance) between two vectors
- Minkowski Distance: generalised Lp norm (p ≥ 1)
- SFZN-CRADIS: Spherical Fuzzy Z-Number CRADIS Ranking
- SFZN-MARCOS: Spherical Fuzzy Z-Number MARCOS Ranking
ELECTRE family1
↑ ContentsHybrid1
↑ ContentsNormalization7
↑ Contents- Linear Max Normalization: division by column maximum (benefit) or column minimum over value (cost)
- Linear Sum Normalization: column-sum division (probability / stochastic normalisation)
- Logarithmic Normalization: log-ratio column normalisation for multiplicative aggregation contexts
- Min-Max Normalization: linear rescaling of each criterion column to [0, 1]
- Vector (L2) Normalization
- Vector Normalization: Euclidean column-norm scaling (L2 normalisation)
- Z-Score Normalization: standardisation to zero mean and unit standard deviation
Outranking32
↑ Contents- ELECTRE I: ELimination Et Choix Traduisant la REalité
- ELECTRE I: ELimination Et Choix Traduisant la REalité I (kernel / choice)
- EXPROM I: Extended PROMETHEE (partial)
- EXPROM II: Total ranking variant
- FF-PROMETHEE: 2-tuple Linguistic Fermatean Fuzzy PROMETHEE (Akram-Bibi 2023)
- Fuzzy ELECTRE I (Group, Trapezoidal)
- Fuzzy ELECTRE II: Fuzzy extension of ELECTRE-II
- Fuzzy ELECTRE III: Fuzzy extension of ELECTRE-III
- Fuzzy PROMETHEE: Fuzzy extension of PROMETHEE
- Grey-PROMETHEE: Grey extension of PROMETHEE
- HF-ELECTRE I: Hesitant Fuzzy ELECTRE I (Chen-Xu-Xia 2015)
- HF-ELECTRE II: Hesitant Fuzzy ELECTRE II (Chen-Xu 2015)
- HF-QUALIFLEX: Hesitant Fuzzy extension of QUALIFLEX
- HFL-PROMETHEE: Hesitant Fuzzy Linguistic PROMETHEE (Liang-Wang-Zhang 2018)
- IF-PROMETHEE: Intuitionistic Fuzzy PROMETHEE
- MPF-ELECTRE-I: m-Polar Fuzzy extension of ELECTRE-I (Akram, Waseem & Liu 2019)
- MPF-ELECTRE-II: m-Polar Fuzzy extension of ELECTRE-II for multi-criteria group decision making (Akram & Adeel 2023)
- MPF-ELECTRE-III: m-Polar Fuzzy extension of ELECTRE-III with pseudo-criterion thresholds, Shannon-entropy objective weights and Li-Wang net credibility ranking (Akram & Adeel 2023)
- MPF-ELECTRE-IV: m-Polar Fuzzy extension of ELECTRE-IV with weight-free pseudo-criterion outranking, five dominance classes (quasi/canonical/pseudo/sub/veto), Vallée-Zielniewicz credibility levels and Belton-Stewart ascending+descending distillation (Akram & Adeel 2023)
- MPF-PROMETHEE: m-Polar Fuzzy extension of PROMETHEE I/II with AHP-derived crisp weights, six Brans-Vincke generalized criteria preference functions, and positive/negative/net outranking flows (Akram, Shumaiza & Alcantud 2020 / Akram & Adeel 2023 Ch. 7)
- N-PROMETHEE: Neutrosophic extension of PROMETHEE
- P-PROMETHEE: Plithogenic extension of P-PROMETHEE
- PAMSSEM I: Procédure d'Agrégation Multicritère
- PAMSSEM II: Total ranking variant
- PF-ELECTRE-II: Pythagorean fuzzy ELECTRE-II for group MCDM
- PF-PROMETHEE: Pythagorean extension of PROMETHEE
- PROMETHEE II: Preference Ranking Organisation METHod for Enrichment of Evaluations
- PROMETHEE II: Preference Ranking Organisation Method for Enrichment of Evaluations II
- PROMETHEE III: Preference Ranking Organisation METHod for Enrichment Evaluations III (interval ranking)
- qR-PROMETHEE: q-Rung Orthopair extension of PROMETHEE
- SF-PROMETHEE: Spherical extension of PROMETHEE
- SIR: Superiority and Inferiority Ranking
Portfolio2
↑ ContentsPreference Relations2
↑ ContentsRanking382
↑ Contents- APLOCO: Automatic Pairwise Linear Order Combination
- ARAS: Additive Ratio Assessment
- AROMAN: Alternative Ranking Order Method Accounting for Two-Step Normalisation
- ARTASI: Alternative Ranking Technique based on Adaptive Standardized Intervals
- Balanced SPOTIS: Balanced Stable Preference Ordering Towards Ideal Solution
- BF-COPRAS: Bipolar extension of COPRAS
- BF-EDAS: Bipolar extension of EDAS
- BF-MARCOS: Bipolar extension of MARCOS
- BF-TOPSIS: Bipolar extension of TOPSIS
- BF-VIKOR: Bipolar extension of VIKOR
- BF-WASPAS: Bipolar extension of WASPAS
- BWM + Z-number + Zero-Sum Game: Best Worst Method weighting with Z-number payoff matrix and game-theoretic ranking
- CF-EDAS: Complex extension of EDAS
- CF-MARCOS: Complex extension of MARCOS
- CF-TOPSIS: Complex extension of TOPSIS
- CF-VIKOR: Complex extension of VIKOR
- COBRA: COmprehensive distance Based RAnking
- COCOSO: Combined Compromise Solution
- CODAS: Combinative Distance-Based Assessment
- COMET: Characteristic Objects METhod
- Compromise Programming: Lp-metric distance to ideal solution
- Consensus Reaching: Iterative aggregation of expert opinions toward group consensus
- COPRAS-IN: COPRAS with Interval Neutrosophic Numbers (INN)
- COPRAS: Complex Proportional Assessment
- CRADIS: Compromise Ranking of Alternatives from Distance to Ideal Solution
- Criteria Removal: Sensitivity analysis by sequential criterion exclusion
- Cross-Validation: k-fold hold-out validation of MCDM decision consistency
- Cubic-EDAS: Cubic Pythagorean Fuzzy EDAS (CuP-EDAS)
- Cubic-TOPSIS: Cubic extension of TOPSIS
- Cubic-VIKOR: Cubic extension of VIKOR
- Cubic-WASPAS: Cubic extension of WASPAS
- D-TOPSIS: Modified TOPSIS based on D-Numbers (Deng Evidence Theory)
- DEA-SBM: Slack-Based Measure Data Envelopment Analysis
- DEA-SUPEREFF: Super-Efficiency Data Envelopment Analysis
- DHF-COPRAS: Dual Hesitant Fuzzy extension of COPRAS
- DHF-EDAS: Dual Hesitant Fuzzy extension of EDAS
- DHF-TODIM: Dual Hesitant Fuzzy extension of TODIM
- DHF-TOPSIS: Dual Hesitant Fuzzy extension of TOPSIS
- DHF-VIKOR: Dual Hesitant Fuzzy extension of VIKOR
- DNMA: Double Normalization-Based Multiple Aggregation
- EDAS: Evaluation Based on Distance from Average Solution
- ELECTRE II: ELimination Et Choix Traduisant la REalité II (complete ranking)
- ELECTRE III: ELimination Et Choix Traduisant la REalité III (pseudo-criteria, fuzzy outranking)
- ELECTRE IV: ELimination Et Choix Traduisant la REalité IV (no criterion weights)
- ERVD: Election based on Relative Value Distances
- EVAMIX: EVAluation of MIXed data
- FDOSM: Fuzzy Decision by Opinion Score Method
- FF-ARAS: Fermatean extension of FF-ARAS
- FF-CoCoSo: Fermatean extension of FF-COCOSO
- FF-CODAS: Fermatean extension of FF-CODAS
- FF-COPRAS: Fermatean extension of FF-COPRAS
- FF-EDAS: Fermatean extension of FF-EDAS
- FF-GRA: Fermatean extension of FF-GRA
- FF-MABAC: Fermatean extension of FF-MABAC
- FF-MARCOS: Fermatean extension of FF-MARCOS
- FF-MOORA: Fermatean extension of FF-MOORA
- FF-SAW: Fermatean extension of FF-SAW
- FF-TODIM: Fermatean extension of FF-TODIM
- FF-TOPSIS: Fermatean extension of FF-TOPSIS
- FF-VIKOR: Fermatean extension of FF-VIKOR
- FF-WASPAS: Fermatean extension of FF-WASPAS
- FF-WPM: Fermatean extension of FF-WPM
- FIA: Fuzzy Information Axiom (Axiomatic Design under fuzzy data)
- FMEA: Failure Mode and Effects Analysis
- FUCA: Flexible and Universal Compromise Analysis
- Fuzzy ARAS: Fuzzy extension of ARAS
- Fuzzy AROMAN: Fuzzy extension of AROMAN
- Fuzzy CoCoSo: Fuzzy extension of COCOSO
- Fuzzy CODAS: Fuzzy extension of CODAS
- Fuzzy COPRAS: Fuzzy extension of COPRAS
- Fuzzy DNMA: Fuzzy extension of DNMA
- Fuzzy EDAS: Fuzzy extension of EDAS
- Fuzzy MABAC: Fuzzy extension of MABAC
- Fuzzy MARCOS: Fuzzy extension of MARCOS
- Fuzzy MAUT: Fuzzy extension of MAUT
- Fuzzy MOORA: Fuzzy extension of MOORA
- Fuzzy MULTIMOORA: Fuzzy extension of MULTIMOORA
- Fuzzy OCRA: Fuzzy extension of OCRA
- Fuzzy PSI: Fuzzy extension of PSI
- Fuzzy RAFSI: Fuzzy extension of RAFSI
- Fuzzy RAWEC: Fuzzy extension of RAWEC
- Fuzzy ROV: Fuzzy extension of ROV
- Fuzzy SAW (Bonissone 1982) - L-R trapezoidal Simple Additive Weighting
- Fuzzy Smart FMEA with DEA (FSFMEA): Fuzzy FMEA + CCR Data Envelopment Analysis for corrective action prioritization
- Fuzzy SPOTIS: Fuzzy extension of SPOTIS
- Fuzzy TODIM: Fuzzy extension of TODIM
- Fuzzy TOPSIS (Chen 2000): TOPSIS extension for group decision-making under fuzzy environment with triangular fuzzy numbers
- Fuzzy TOPSIS (Chen-Hwang 1992): Trapezoidal fuzzy TOPSIS with Zadeh sup-min similarity distance
- Fuzzy VIKOR: Fuzzy extension of VIKOR
- Fuzzy WASPAS: Fuzzy extension of WASPAS
- Fuzzy WISP: Fuzzy extension of WISP
- Fuzzy WPM (Kahraman-Birgun-Yenen 2008) - Triangular Fuzzy Weighted Product
- Goal Programming: Minimise deviations from multiple aspiration levels
- GRA: Grey Relational Analysis
- Grey-ARAS: Grey extension of ARAS
- Grey-CODAS: Grey extension of CODAS
- Grey-COPRAS: Grey extension of COPRAS
- Grey-EDAS: Grey extension of EDAS
- Grey-GRA: Grey extension of GRA
- Grey-MABAC: Grey extension of MABAC
- Grey-MARCOS: Grey extension of MARCOS
- Grey-MOORA: Grey extension of MOORA
- Grey-Projection: Grey extension of GRA
- Grey-SAW: Grey extension of SAW
- Grey-TODIM: Grey extension of TODIM
- Grey-TOPSIS: Grey extension of TOPSIS
- Grey-VIKOR: Grey extension of VIKOR
- Grey-WASPAS: Grey extension of WASPAS
- Hellwig's Method: Development Pattern
- HF-ARAS: Hesitant Fuzzy Additive Ratio Assessment
- HF-CODAS: Hesitant extension of HF-CODAS
- HF-COPRAS: Hesitant Fuzzy Complex Proportional Assessment
- HF-DFT: Hesitant Fuzzy Decision Field Theory (Song-Xu 2021)
- HF-EDAS: Hesitant Fuzzy EDAS (Evaluation Based on Distance from Average Solution)
- HF-GRA: Hesitant Fuzzy Grey Relational Analysis
- HF-MABAC: Hesitant Fuzzy Multi-Attributive Border Approximation area Comparison
- HF-MARCOS: Hesitant Fuzzy MARCOS
- HF-MOORA: Hesitant Fuzzy Multi-Objective Optimization by Ratio Analysis
- HF-SAW: Hesitant extension of HF-SAW
- HF-TODIM: Hesitant Fuzzy TODIM via new measure function Z_δ (Zhang-Xu 2016 ITOR)
- HF-TOPSIS: Hesitant Fuzzy TOPSIS with optional incomplete weight information (Xu-Zhang 2013 KBS)
- HF-VIKOR: Hesitant Fuzzy VIKOR (Liao-Xu 2013)
- HF-WASPAS: Hesitant Fuzzy Weighted Aggregated Sum Product Assessment
- HFL-CODAS: Hesitant Fuzzy Linguistic CODAS (HFLTS-envelope, Combinative Distance-based Assessment)
- HFL-MABAC: Hesitant Fuzzy Linguistic Projection-Based MABAC with Bonferroni Mean (Sun et al. 2018)
- IF-ARAS: Intuitionistic Fuzzy ARAS
- IF-CoCoSo: Intuitionistic extension of COCOSO
- IF-COPRAS: Intuitionistic extension of COPRAS
- IF-DFT: Intuitionistic Fuzzy Decision Field Theory (Hao-Xu-Zhao-Zhang 2017)
- IF-EDAS: Intuitionistic Fuzzy EDAS
- IF-GRA: Intuitionistic extension of GRA
- IF-MABAC: Intuitionistic extension of MABAC
- IF-MARCOS: Intuitionistic extension of MARCOS
- IF-MAUT: Intuitionistic Fuzzy Multi-Attribute Utility Theory (IFWA-based additive utility)
- IF-MOORA: Intuitionistic extension of MOORA
- IF-MULTIMOORA: Intuitionistic extension of MULTIMOORA
- IF-SAW: Intuitionistic extension of SAW
- IF-TODIM: Intuitionistic Fuzzy TODIM
- IF-TOPSIS: Intuitionistic Fuzzy TOPSIS
- IF-VIKOR: Intuitionistic extension of VIKOR
- IF-WASPAS: Intuitionistic extension of WASPAS
- IF-WPM: Intuitionistic extension of WPM
- Interval-Number Grey-Related Analysis
- IR-CODAS: Interval Rough CODAS (Combinative Distance-based Assessment with Interval Rough Numbers for MCGDM)
- IV-ARAS: Interval extension of ARAS
- IV-COPRAS: Interval extension of COPRAS
- IV-EDAS: Interval extension of EDAS
- IV-MARCOS: Interval extension of MARCOS
- IV-MOORA: Interval extension of MOORA
- IV-PROJECTION: Interval-Valued Intuitionistic Fuzzy Projection-based MCDM
- IV-SAW: Interval extension of SAW
- IV-TODIM: Interval extension of TODIM
- IV-TOPSIS: Interval extension of TOPSIS
- IV-VIKOR: Interval extension of VIKOR
- IV-WASPAS: Interval extension of WASPAS
- IVAIF-CODAS: Interval-Valued Atanassov Intuitionistic Fuzzy CODAS
- IVIF-ARAS: Interval-Valued Intuitionistic Fuzzy ARAS (Büyüközkan & Göçer 2018)
- IVIF-COPRAS: Interval-Valued Intuitionistic Fuzzy COPRAS (Davoudabadi-Mousavi-Mohagheghi-Vahdani 2019)
- IVIF-MABAC: Interval-Valued Intuitionistic Fuzzy MABAC (Xue, You, Lai, Liu 2016)
- IVIF-TODIM: Interval-Valued Intuitionistic Fuzzy TODIM (Krohling & Pacheco 2014)
- IVIF-VIKOR: Interval-Valued Intuitionistic Fuzzy VIKOR (Park, Cho & Kwun 2011)
- IVN-MULTIMOORA: MULTIMOORA under Interval-Valued Neutrosophic Number Environment
- KEMIRA: KEmeny Median Indicator Ranks Accordance
- L2T-CODAS: Linguistic extension of L2T-CODAS
- L2T-COPRAS: Linguistic extension of L2T-COPRAS
- L2T-EDAS: 2-Tuple Linguistic Neutrosophic EDAS
- L2T-MULTIMOORA: 2-Tuple Linguistic MULTIMOORA (Balezentis & Balezentis 2011)
- L2T-SAW: Linguistic extension of L2T-SAW
- L2T-TODIM: Linguistic extension of L2T-TODIM
- L2T-TOPSIS: Linguistic extension of L2T-TOPSIS
- L2T-VIKOR: Linguistic extension of L2T-VIKOR
- LINMAP: LINear programming technique for Multidimensional Analysis of Preference
- LMAW: Logarithm Methodology of Additive Weights
- Local WLC: neighbourhood-adaptive weighted linear combination
- LOCAL-OWA: neighbourhood-adaptive Ordered Weighted Averaging
- LoPM: Limits on Property Method
- LPF-CRITIC-EDAS: Linguistic Pythagorean Fuzzy EDAS with CRITIC weighting (Akram-Ramzan-Deveci 2023)
- MABAC: Multi-Attributive Border Approximation area Comparison
- MACONT: Mixed Aggregation by Comprehensive Normalization Technique
- MAIRCA: Multi-Attributive Ideal-Real Comparative Analysis
- MARA: Magnitude of the Area for the Ranking of Alternatives
- MARCOS: Measurement of Alternatives and Ranking according to Compromise Solution
- MAUT: Multi-Attribute Utility Theory
- MHF-TOPSIS: m-Polar Hesitant Fuzzy extension of TOPSIS
- Monte Carlo Simulation: Stochastic uncertainty propagation through MCDM model
- MOORA: Multi-Objective Optimisation by Ratio Analysis
- MOOSRA: Multi-Objective Optimization on the basis of Simple Ratio Analysis
- MPF-HF-TOPSIS: m-Polar Hesitant Fuzzy TOPSIS (Akram, Adeel & Alcantud 2019, Symmetry 11(6):795): multi-criteria group decision-making by extending TOPSIS to the m-polar hesitant fuzzy (mHF) set framework; pole-wise mHPIS/mHNIS extraction, mHF Euclidean distance and closeness coefficient ranking
- MPF-TOPSIS-LING: m-Polar Fuzzy Linguistic TOPSIS for MCGDM (Adeel, Akram & Koam 2019, Symmetry 11(6):735): multi-criteria group decision-making via m-polar fuzzy linguistic variables (mFLV), expert-aggregated m-PF linguistic decision matrix, aggregated linguistic-term-set weights, m-PF linguistic positive/negative ideal solutions (mPIS / mNIS), m-PF linguistic Euclidean distances, relative closeness coefficient E'_j descending ranking
- MULTIMOORA: Multi-Objective Optimisation by Ratio Analysis plus Full Multiplicative Form
- N-ARAS: Neutrosophic ARAS
- N-AROMAN: Neutrosophic extension of AROMAN
- N-COCOSO: Neutrosophic CoCoSo
- N-CODAS: Neutrosophic extension of CODAS
- N-DNMA: Neutrosophic DNMA
- N-EDAS: Neutrosophic extension of EDAS
- N-GRA: Neutrosophic extension of GRA
- N-MABAC: Neutrosophic MABAC
- N-MARCOS: Neutrosophic MARCOS
- N-MOORA: Neutrosophic extension of MOORA
- N-MULTIMOORA: Neutrosophic extension of MULTIMOORA
- N-PSI: Neutrosophic PSI
- N-RAFSI: Neutrosophic extension of RAFSI
- N-RAWEC: Neutrosophic extension of RAWEC
- N-SPOTIS: Neutrosophic extension of SPOTIS
- N-TODIM: Neutrosophic extension of TODIM
- N-TOPSIS: Neutrosophic extension of TOPSIS
- N-VIKOR: Neutrosophic extension of VIKOR
- N-WASPAS: Neutrosophic WASPAS
- N-WISP: Neutrosophic WISP
- N-WPM: Neutrosophic extension of WPM
- NAIADE: Novel Approach to Imprecise Assessment and Decision Environments
- NSS-CODAS: Neutrosophic Spherical extension of CODAS
- OCRA: Operational Competitiveness Rating
- ORESTE: Organisation, Rangement Et Synthèse de données rElaTionnEllEs
- OWA: Ordered Weighted Averaging
- P-ARAS: Plithogenic extension of P-ARAS
- P-AROMAN: Plithogenic extension of P-AROMAN
- P-CoCoSo: Plithogenic extension of P-COCOSO
- P-CODAS: Plithogenic extension of P-CODAS
- P-COPRAS: Plithogenic extension of P-COPRAS
- P-DNMA: Plithogenic extension of P-DNMA
- P-EDAS: Plithogenic extension of P-EDAS
- P-GRA: Plithogenic extension of P-GRA
- P-MABAC: Plithogenic extension of P-MABAC
- P-MARCOS: Plithogenic extension of P-MARCOS
- P-MAUT: Plithogenic extension of P-MAUT
- P-MOORA: Plithogenic extension of P-MOORA
- P-MULTIMOORA: Plithogenic extension of P-MULTIMOORA
- P-OCRA: Plithogenic extension of P-OCRA
- P-PSI: Plithogenic extension of P-PSI
- P-RAFSI: Plithogenic extension of P-RAFSI
- P-RAWEC: Plithogenic extension of P-RAWEC
- P-ROV: Plithogenic extension of P-ROV
- P-SAW: Plithogenic extension of P-SAW
- P-SPOTIS: Plithogenic extension of P-SPOTIS
- P-TODIM: Plithogenic extension of P-TODIM
- P-TOPSIS: Plithogenic extension of P-TOPSIS
- P-VIKOR: Plithogenic extension of P-VIKOR
- P-WASPAS: Plithogenic extension of P-WASPAS
- P-WISP: Plithogenic extension of P-WISP
- P-WPM: Plithogenic extension of P-WPM
- PAM: Polygons Area Method
- PF-ARAS: Pythagorean extension of ARAS
- PF-CoCoSo: Pythagorean extension of COCOSO
- PF-CODAS: Pythagorean extension of CODAS
- PF-COPRAS: Pythagorean extension of COPRAS
- PF-EDAS: Pythagorean extension of EDAS
- PF-GRA: Pythagorean extension of GRA
- PF-MABAC: Pythagorean extension of MABAC
- PF-MARCOS: Pythagorean extension of MARCOS
- PF-MOORA: Pythagorean extension of MOORA
- PF-SAW: Pythagorean extension of SAW
- PF-TODIM: Pythagorean extension of TODIM
- PF-TOPSIS: Pythagorean extension of TOPSIS
- PF-VIKOR: Pythagorean extension of VIKOR
- PF-WASPAS: Pythagorean extension of WASPAS
- PF-WPM: Pythagorean extension of WPM
- PHF-COPRAS: Probabilistic Hesitant extension of COPRAS
- PHF-EDAS: Extended Hesitant Fuzzy Linguistic EDAS (EHFL-EDAS)
- PHF-TOPSIS: Probabilistic Hesitant extension of TOPSIS
- PHF-VIKOR: Probabilistic Hesitant extension of VIKOR
- PHFS-EHVaR: Expected Hesitant Value-at-Risk for Probabilistic Hesitant Fuzzy Sets (Zhou-Xu 2017)
- PHFS-HVaR: Hesitant Value-at-Risk for Probabilistic Hesitant Fuzzy Sets (Zhou-Xu 2017)
- PiF-ARAS: Picture Fuzzy extension of ARAS
- PIF-ARTASI: Picture Fuzzy ARTASI (Kara et al. 2024)
- PiF-CODAS: Picture extension of CODAS
- PiF-COPRAS: Picture extension of COPRAS
- PiF-EDAS: Picture extension of EDAS
- PiF-MARCOS: Picture extension of MARCOS
- PiF-MOORA: Picture extension of MOORA
- PiF-SAW: Picture extension of SAW
- PiF-TODIM: Picture extension of TODIM
- PiF-TOPSIS: Picture extension of TOPSIS
- PiF-VIKOR: Picture extension of VIKOR
- PiF-WASPAS: Picture Fuzzy extension of WASPAS
- PIV: Proximity Indexed Value
- PL-EDAS: Probabilistic Linguistic extension of EDAS
- PL-MABAC: Plithogenic MABAC (with BWM weighting and Rough Number uncertainty)
- PL-MARCOS: Probabilistic Linguistic extension of MARCOS
- PL-MULTIMOORA: Probabilistic Linguistic extension of MULTIMOORA
- PL-TODIM: Probabilistic Linguistic extension of TODIM
- PL-TOPSIS: Probabilistic Linguistic extension of TOPSIS
- PL-VIKOR: Probabilistic Linguistic extension of VIKOR
- Prob-ARAS: Stochastic extension of PROB-ARAS
- PROBID: Preference Ranking on the Basis of Ideal-Average Distance
- PROMETHEE I: Preference Ranking Organisation METHod for Enrichment Evaluations I (partial ranking)
- PROMETHEE V: PROMETHEE with Integer Programming Constraints
- PROMETHEE VI: Walking Weights Sensitivity
- PROSA-C: Sustainability Criteria-Level Preference Ranking
- Proximity-Adjusted WLC: spatially explicit weighted linear combination
- PSI: Preference Selection Index
- qR-ARAS: q-Rung Orthopair extension of ARAS
- qR-CoCoSo: q-Rung Orthopair extension of COCOSO
- qR-CODAS: q-Rung Orthopair extension of CODAS
- qR-COPRAS: q-Rung Orthopair extension of COPRAS
- qR-EDAS: q-Rung Orthopair extension of EDAS
- qR-GRA: q-Rung Orthopair extension of GRA
- qR-MABAC: q-Rung Orthopair extension of MABAC
- qR-MARCOS: q-Rung Orthopair extension of MARCOS
- qR-MOORA: q-Rung Orthopair extension of MOORA
- qR-SAW: q-Rung Orthopair extension of SAW
- qR-TODIM: q-Rung Orthopair extension of TODIM
- qR-TOPSIS: q-Rung Orthopair extension of TOPSIS
- qR-VIKOR: q-Rung Orthopair extension of VIKOR
- qR-WASPAS: q-Rung Orthopair extension of WASPAS
- qR-WPM: q-Rung Orthopair extension of WPM
- QUALIFLEX: QUALItative FLEXible multiple criteria method
- RAFSI: Ranking of Alternatives through Functional mapping of criterion sub-intervals into a Single Interval
- RAM: Root Assessment Method
- Rank Reversal Analysis: Detection of ranking instability when alternatives are added/removed
- RAPS: Ranking of Alternatives based on Preference Strength
- RAWEC: Ranking Alternatives With Equal Criteria weights
- REGIME: Ordinal multi-criteria method based on pairwise regime analysis
- RIM: Reference Ideal Method
- Rough-ARAS: Rough extension of ARAS
- Rough-COPRAS: Rough extension of COPRAS
- Rough-DRSA: Rough extension of DRSA
- Rough-EDAS: Rough extension of EDAS
- Rough-MABAC: Rough extension of MABAC
- Rough-MARCOS: Rough extension of MARCOS
- Rough-MOORA: Rough extension of MOORA
- Rough-SAW: Rough extension of SAW
- Rough-TODIM: Rough extension of TODIM
- Rough-TOPSIS: Rough extension of TOPSIS
- Rough-VIKOR: Rough extension of VIKOR
- Rough-WASPAS: Rough extension of WASPAS
- ROV: Range of Value method
- SAW: Simple Additive Weighting
- SECA: Simultaneous Evaluation of Criteria and Alternatives
- Sensitivity Analysis: Systematic assessment of output variation w.r.t. input perturbations
- SF-ARAS: Spherical extension of ARAS
- SF-CoCoSo: Spherical extension of COCOSO
- SF-CODAS: Spherical extension of CODAS
- SF-COPRAS: Spherical extension of COPRAS
- SF-EDAS: Spherical extension of EDAS
- SF-GRA: Spherical extension of GRA
- SF-MABAC: Spherical extension of MABAC
- SF-MARCOS: Spherical extension of MARCOS
- SF-MOORA: Spherical extension of MOORA
- SF-SAW: Spherical extension of SAW
- SF-TODIM: Spherical extension of TODIM
- SF-TOPSIS: Spherical extension of TOPSIS
- SF-VIKOR: Spherical extension of VIKOR
- SF-WASPAS: Spherical extension of WASPAS
- SF-WPM: Spherical extension of WPM
- SIMUS: Sequential Interactive Model for Urban Systems
- SMAA-2: Stochastic extension of SMAA2
- SMAA: Stochastic Multiobjective Acceptability Analysis
- SMART: Simple Multi-Attribute Rating Technique
- SNHF-TOPSIS: TOPSIS with Maximizing Deviation in Simplified Neutrosophic Hesitant Fuzzy Environment
- SOWA: Spatial Ordered Weighted Averaging
- SPOTIS: Stable Preference Ordering Towards Ideal Solution
- SPROBID: Simplified PROBID using Top/Bottom Quartile Ideal Sets
- STOCHASTIC-UTA: Stochastic UTilités Additives (preference-disaggregation under uncertainty)
- Taxonomy Method: Wrocław Taxonomic Development Measure
- TIF-CODAS: Triangular Intuitionistic Fuzzy Group CODAS (TIFN-CODAS)
- TIFN-CODAS: Triangular Intuitionistic Fuzzy Number CODAS (Daami Remadi & Frikha 2023)
- TODIM: TOmada de Decisão Interativa e Multicritério (Interactive and Multicriteria Decision Making)
- TOPSIS: Technique for Order of Preference by Similarity to Ideal Solution
- TVN-MULTIMOORA: MULTIMOORA under Triangular-Valued Neutrosophic Number Environment
- UTA: UTilités Additives (Additive Utility Assessment)
- UTA*: Additive utility disaggregation from reference ranking (revised UTA)
- VIKOR-SMAA: VIKOR with Stochastic Multicriteria Acceptability Analysis
- VIKOR: VlseKriterijumska Optimizacija I Kompromisno Resenje (Multicriteria Optimisation and Compromise Solution)
- WASPAS: Weighted Aggregated Sum Product Assessment
- WEBIRA: WEighted Bi-directional Ideal Ratio Analysis
- WEDBA: Weighted Euclidean Distance Based Approach
- Weight Sensitivity Analysis: Stability intervals for criterion weights
- Weighted Voting: Weighted positional aggregation of multiple rankings
- WINGS: Weighted Influence Non-linear Gauge System
- WISP: Weighted Ideal Solution Point
- WPM: Weighted Product Model
- WSM: Weighted Sum Model (Simple Additive Weighting)
- Z-COPRAS: Z-Number extension of COPRAS
- Z-EDAS: Z-Number extension of EDAS
- Z-MARCOS: Z-Number extension of MARCOS
- Z-PROMETHEE: Z-Number Preference Ranking Organization Method (II)
- Z-TOPSIS: Z-Number extension of TOPSIS
- Z-VIKOR: Z-Number extension of VIKOR
- Z-WASPAS: Z-Number extension of WASPAS
- ZF-CRADIS: Z-Number Fuzzy Compromise Ranking from Distance to Ideal Solution
Robustness2
↑ ContentsSensitivity5
↑ Contents- Kendall W: Coefficient of concordance for multiple rankings
- Kendall τ: Pairwise concordance measure between two rankings
- Morris Screening Method: Elementary effects for global sensitivity analysis
- Sobol' Sensitivity Indices: Variance-based global sensitivity decomposition
- Spearman Rank Correlation ρ: Monotone relationship between two rankings
Sorting10
↑ Contents- AHPSort: AHP-based classification of alternatives into ordered categories
- DRSA: Dominance-Based Rough Set Approach
- ELECTRE TRI-B: Sorting with central reference profiles (boundary variant)
- ELECTRE-TRI-C: ELECTRE Tri with Central Reference Profiles
- ELECTRE-TRI: Outranking-Based Sorting Method with Boundary Profiles (also ELECTRE TRI-B)
- FLOWSORT: Flow-Based Sorting Method
- IF-CODAS-SORT: Intuitionistic Fuzzy CODAS-SORT (sorting via Euclidean+Hamming relative assessment)
- IVIF-CODAS-SORT: Interval-Valued Intuitionistic Fuzzy CODAS-SORT (sorting via Euclidean+Hamming relative assessment)
- TOPSIS-Sort: TOPSIS-based sorting of alternatives into ordered categories
- UTADIS: UTilités Additives DIScriminantes (Additive Utility Sorting)
T-norm4
↑ ContentsTOPSIS family1
↑ ContentsUtility1
↑ ContentsWeight Objective16
↑ Contents- CCSD: Criteria Correlation and Standard Deviation objective weighting
- CILOS: Criterion Impact LOSs objective weighting method
- CRITIC: CRiteria Importance Through Intercriteria Correlation
- ENTROPY: Shannon Entropy Weighting Method
- FARE: Factor Relationship weighting method
- Gini Coefficient Weighting: inequality-of-discrimination objective weighting
- IDOCRIW: Integrated Determination of Objective CRIteria Weights
- IF-ENTROPY: Intuitionistic Fuzzy Entropy Weight Method (Vlachos-Sergiadis 2007 entropy measure as applied by Hung-Chen 2010)
- LODECI: LOgarithmic DEcomposition of Criteria Importance
- LOPCOW: LOgarithmic Percentage Change-driven Objective Weighting
- MEREC: MEthod based on the Removal Effects of Criteria
- MPSI: Modified PSI method for objective weighting (Modified Preference Selection Index weighting)
- NMD: New Method of Determining objective criterion weights
- PCA Weighting: Principal Component Analysis based objective weighting
- Standard Deviation Weight: objective weighting by column standard deviation
- WENSLO: WEight deNomination based on Slope coefficient for objective weighting
Weight Subjective31
↑ Contents- AHP: Analytic Hierarchy Process
- ANP: Analytic Network Process (AHP with feedback and interdependences)
- B-WENSLO: Fuzzy WEight deNomination based on Slope coefficient (triangular fuzzy extension)
- Bayesian BWM: Probabilistic Group Best-Worst Method
- BWM: Best-Worst Method
- CIMAS: Criterion Impact MeAsurement System
- DANP: DEMATEL-based ANP
- Delphi Method: iterative expert consensus for criterion importance elicitation
- DEMATEL: Decision Making Trial and Evaluation Laboratory
- DIBR: Defining Interrelationships Between Ranked criteria
- F-LMAW: Fuzzy Logarithm Methodology of Additive Weights (TFN)
- FUCOM-F: Fuzzy Full Consistency Method (TFN)
- FUCOM: Full Consistency Method
- Fuzzy AHP: Fuzzy extension of the Analytic Hierarchy Process
- Fuzzy BWM: Triangular Fuzzy Best-Worst Method
- Fuzzy Delphi: Expert consensus with triangular fuzzy opinions and defuzzification
- Fuzzy SIWEC: Fuzzy Simple Weight Calculation (F-SIWEC)
- FUZZY-DEMATEL: Fuzzy Decision Making Trial and Evaluation Laboratory (CFCS, defuzzify-first)
- FUZZY-SWARA: Improved Fuzzy Step-Wise Weight Assessment Ratio Analysis (IMF-SWARA)
- HF-AHP: Hesitant Fuzzy AHP (AHP-Hesitant Group Decision Making via HMPM)
- HFL-AHP: Hesitant Fuzzy Linguistic AHP (HFLTS-envelope family: Yavuz 2015 + Özdağoğlu 2018)
- LBWA: Level Based Weight Assessment
- MACBETH: Measuring Attractiveness by a Categorical-Based Evaluation Technique
- PIF-CIMAS: Picture Fuzzy variant of CIMAS (Kara et al. 2024)
- PIPRECIA: PIvot Pairwise RElative Criteria Importance Assessment
- Revised Simos Procedure: deck-of-cards rank-based weight elicitation (Figueira & Roy 2002)
- ROC: Rank Order Centroid weights (rank-based surrogate weights)
- SIWEC: Simple Weight Calculation
- SMART Weighting: Direct importance rating normalisation (Edwards SMART weight step)
- SWARA: Step-Wise Weight Assessment Ratio Analysis
- Swing Weighting: importance weights derived from worst-to-best swing utility gains
Weighting5
↑ Contents555 methods, one workspace.
Pick a method and run it on your own data, with every step and every assumption written down.