Intuitionistic
Methods that work with Intuitionistic data
Every method that works with this data type has a page of its own. Those with an academy card are explained here through their philosophy, how to read their output and worked cases; the rest open on their formula page in the library.
26 academy cards · 0 only in the library · 24 methods in the catalogue
Methods with an academy card
26 cards- RankingIF-DFTIF-DFT does not compare options at a single instant; using intuitionistic fuzzy assessments made up of degrees of support and rejection, it simulates how preference accumulates over time.Open the card →
- Aggregation and votingEinstein T-normThe Einstein t-norm is a parameter-free combination operation that reduces two fuzzy assessments to a single degree using a rule slightly more cautious than the algebraic product.Open the card →
- Aggregation and votingFrank T-normThe Frank t-norm is an exponential family of combination rules that reduces two fuzzy assessments to a single degree with a tightness set by a parameter s.Open the card →
- Aggregation and votingHamacher T-normThe Hamacher t-norm is a product-based family of combination rules that reduces two fuzzy assessments to a single degree with a tightness set by a parameter γ.Open the card →
- Aggregation and votingSchweizer-Sklar T-normThe Schweizer-Sklar t-norm is a family of combination rules built on power functions that reduces two fuzzy assessments to a single degree with a tightness set by a parameter p.Open the card →
- DefuzzificationScore Function Defuzzification for Intuitionistic Fuzzy NumbersThe score function produces a single crisp figure by subtracting an intuitionistic fuzzy number's degree of non-membership from its degree of membership; where two evaluations come out equal, a degree of accuracy steps in to resolve the difference.Open the card →
- TOPSIS extensionsIntuitionistic fuzzy TOPSISThis is the form of TOPSIS that expresses criterion assessment as a degree of support for, and a degree of rejection of, a judgement; this pair is called an intuitionistic fuzzy number. The method combines the views of several decision-makers and builds the ideal and anti-ideal points from these pairs. It measures distance through the degree of membership, the degree of non-membership and hesitancy, and ranks the result with a single closeness score.Open the card →
- TOPSIS extensionsCubic intuitionistic fuzzy TOPSISThis is the form of TOPSIS for situations where a cell carries, together, both an interval-valued intuitionistic fuzzy pair AND a single-point intuitionistic fuzzy pair layered on top of it. It processes both layers and ranks alternatives with a single closeness coefficient.Open the card →
- VIKOR extensionsIntuitionistic fuzzy VIKORThis is the judgement-based form of VIKOR. Criteria here are assessed with a degree of support (μ) and a degree of rejection (ν); on cost criteria it reverses direction by swapping support and rejection, and it calculates distance over these two degrees.Open the card →
- SAW extensionsIntuitionistic fuzzy SAWIF-SAW is the form of SAW that works with intuitionistic fuzzy numbers when criteria rest on a judgement (support/rejection). It runs the weighted aggregation on the support and rejection degrees separately, then reduces the result to a single score difference and ranks on it.Open the card →
- Entropy Weighting extensionsIntuitionistic fuzzy EntropyIntuitionistic Fuzzy Entropy Weighting is the form of Entropy Weighting used when decision-table cells are given as a degree of support for and a degree of rejection of a judgement (an intuitionistic fuzzy pair). It produces weights by working directly on the support-rejection-indecision triple, without converting entropy into a probability.Open the card →
- EDAS extensionsIntuitionistic fuzzy EDASIF-EDAS is the form of EDAS used when criterion values are given as a degree of support for and a degree of rejection of a judgement, working with intuitionistic fuzzy numbers. The method first reduces every cell to a single score, then computes the positive and negative distances from that score against the set's own average.Open the card →
- COPRAS extensionsIntuitionistic fuzzy COPRASThis is the form of COPRAS used when criteria are assessed in intuitionistic fuzzy form, that is, through degrees of support for and rejection of a judgement. Every cell is first reduced to a Chen-Tan score difference (support minus rejection); COPRAS's benefit/cost ratio then works on these scores.Open the card →
- MARCOS extensionsIntuitionistic fuzzy MARCOSIF-MARCOS is the intuitionistic fuzzy form of MARCOS used when the support given to a judgement and its rejection are known separately. It reduces cells to a support-rejection score and aggregates them, then builds the ratio to the ideal and anti-ideal from this score.Open the card →
- CODAS extensionsIntuitionistic fuzzy CODASTIF-CODAS is the form of CODAS used when criterion scores carry both linguistic approximation and a support/rejection judgement, and when more than one expert's opinion has to be combined. It works with triangular intuitionistic fuzzy numbers and directly supports group decisions.Open the card →
- PROMETHEE extensionsIntuitionistic fuzzy PROMETHEEIntuitionistic fuzzy PROMETHEE is the form of PROMETHEE used when criterion scores are given as a support-rejection pair (an intuitionistic fuzzy number). Each pair is first reduced to a score, and the preference function and flows are built on the difference between these scores. The method can also combine the assessments of more than one decision-maker.Open the card →
- TODIM extensionsIntuitionistic fuzzy TODIMIF-TODIM is the form of TODIM used when the values in the decision table are not single numbers but the support and rejection degrees given to a judgement (an intuitionistic fuzzy pair). It runs the same loss-aversion logic through a distance and a score comparison between these pairs.Open the card →
- WASPAS extensionsIntuitionistic fuzzy WASPASIF-WASPAS is the form of WASPAS used when criterion assessments are given as a judgement's degree of support and degree of rejection. It replaces the sum with an optimistic aggregation and the product with a more cautious one, then reduces the two to a single score.Open the card →
- ARAS extensionsIntuitionistic fuzzy ARASIntuitionistic fuzzy ARAS is the form of ARAS used when a criterion is assessed with a degree of support for, and a degree of rejection of, a judgement, and where more than one decision-maker's opinion can be combined. On cost criteria it reverses direction by swapping support and rejection, and calculates the ratio to the optimal alternative from these two degrees.Open the card →
- MABAC extensionsIntuitionistic fuzzy MABACIF-MABAC is the intuitionistic fuzzy form of MABAC used when criteria are assessed through a degree of support for and a degree of rejection of a judgement. It derives criterion weights itself from disagreement among experts, and computes distance to the border through a behavioural weighting.Open the card →
- MOORA extensionsIntuitionistic fuzzy MOORAIF-MOORA is the form of MOORA that works with intuitionistic fuzzy numbers when criteria are not a measured quantity but a judgement, and the support and rejection degrees of that judgement are known separately. It turns the support-rejection difference into a single number and feeds it into the ratio system.Open the card →
- GRA extensionsIntuitionistic fuzzy GRAIF-GRA is the form of GRA that works with intuitionistic fuzzy numbers when criteria are assessed through degrees of support for and rejection of a judgement. It computes distance to the reference from these two degrees and ranks the result again by a grey relational grade.Open the card →
- CoCoSo extensionsIntuitionistic fuzzy CoCoSoIF-CoCoSo is the intuitionistic fuzzy form of CoCoSo. Here criterion assessments are expressed through a degree of support for, and a degree of rejection of, a judgement (μ, ν). Every cell is first reduced to a single Chen-Tan score. The rest of the calculation, that is scale equalisation, the additive and multiplicative measures, and the three compromise strategies, runs exactly as in crisp CoCoSo.Open the card →
- MULTIMOORA extensionsIntuitionistic fuzzy MULTIMOORAIntuitionistic Fuzzy MULTIMOORA is the form of MULTIMOORA used when criterion assessment is given as a degree of support for, and a degree of rejection of, a judgement (an intuitionistic fuzzy pair). It reduces the support-rejection difference to a single score for the ratio system and the reference point, while the full multiplicative form is computed keeping the support-rejection structure intact.Open the card →
- WPM extensionsIntuitionistic fuzzy WPMIF-WPM is the form of WPM used when criterion assessments are expressed as a judgement's degree of support and degree of rejection (μ, ν). On cost criteria the (μ, ν) pair is first converted to its complement, then all criteria are combined with the weighted geometric aggregation operator (IFWG), and only in the final step is this reduced to a single Chen-Tan score.Open the card →
- MAUT extensionsIntuitionistic fuzzy MAUTIF-MAUT is the form of MAUT that works with intuitionistic fuzzy numbers when criterion values are expressed as a degree of support for, and a degree of rejection of, a judgement. Rather than constructing a utility function, it combines the support-rejection pair directly by weighting, and ranks the result with a single score.Open the card →
Other methods in the library
These methods do not yet have an academy card. Their formulae, steps and source citation live in the library; each link opens the method page directly.
No method without a card remains for this type.