N-SPOTIS: Neutrosophic extension of SPOTIS

Overview

Neutrosophic outranking/ranking: Single-Valued Neutrosophic Set (SVNS: T, I, F; T,I,F ∈ [0,1], T+I+F ≤ 3). Output typically utility (higher value = preferred).

Strengths

• •Method-specific: Neutrosophic outranking/ranking: Single-Valued Neutrosophic Set (SVNS: T, I, F; T,I,F ∈ [0,1], T+I+F ≤ 3)
• •Preserves single_valued_neutrosophic uncertainty through the pipeline rather than premature crispification at elicitation
• •Native group-decision support (multi-DM aggregation built into the pipeline)

Limitations

• •Assumes: Decision matrix entries are valid Single-Valued Neutrosophic numbers/tuples
• •Assumes: Underlying crisp method's compensation assumption holds in uncertain space
• •Assumes: All decision-maker(s) and experts use the same linguistic/uncertainty scale

Assumptions to verify

• •Decision matrix entries are valid Single-Valued Neutrosophic numbers/tuples
• •Underlying crisp method's compensation assumption holds in uncertain space
• •All decision-maker(s) and experts use the same linguistic/uncertainty scale

When not to use

• •Crisp data sufficient: use base SPOTIS directly (avoid unnecessary uncertainty layer)
• •Aggregation operator (PFWA/PFOWA/etc.) not specified: output ambiguous

Edge cases

• •See F.steps and D.parameters for N-SPOTIS-specific edge handling. recommendation_metadata.assumptions_to_verify also lists boundary conditions.

Common pitfalls

• •Hatalı: 'N-SPOTIS bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Decision matrix entries are valid Single-Valued Neutrosophic numbers/tuples
• •Hatalı: 'N-SPOTIS bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Underlying crisp method's compensation assumption holds in uncertain space
• •Hatalı: 'N-SPOTIS bu varsayımı kontrol etmeden uygulamak'. Doğrusu: All decision-maker(s) and experts use the same linguistic/uncertainty scale
• •Hatalı: N-SPOTIS'yi 'Crisp data sufficient' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: N-SPOTIS'yi 'Aggregation operator (PFWA/PFOWA/etc.) not specified' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): SVN scores; pre-specified bounds and ideal. Formül: s_{ij}=\tfrac{1+T_{ij}-2I_{ij}-F_{ij}}{2}\;\text{clipped to }[s_j^{\min},s_j^{\max}];\quad s_j^*=s_j^{\max}\;(j\in\Omega_b),\;s_j^{\min}\;(j\in\Omega_c) Anchor: Dezert et al. 2020, Sec.3 Step1-2
2. 2.Adım 2 (F2): Normalised distance from ideal within fixed bounds. Formül: p_{ij}=\frac{|s_{ij}-s_j^*|}{s_j^{\max}-s_j^{\min}},\quad p_{ij}\in[0,1] Anchor: Dezert et al. 2020, Sec.3 Step3
3. 3.Adım 3 (F3): SPOTIS score D_i; rank ascending (lower = better). Formül: D_i=\sum_{j=1}^n w_j\,p_{ij};\quad\text{rank ascending} Anchor: Dezert et al. 2020, Sec.3 Step4-5

Commonly paired with

• •n_a + N-SPOTIS (common)

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