WISP: Weighted Ideal Solution Point

Overview

Ideal solution proximity (four score components). Output typically utility (higher value = preferred).

Strengths

• •Method-specific: Ideal solution proximity (four score components)

Limitations

• •Assumes: Criteria preferences are independent (no synergistic interactions)
• •Assumes: Compensation is acceptable: high score on one criterion can offset low on another
• •Assumes: Decision matrix is complete (no missing values)

Assumptions to verify

• •Criteria preferences are independent (no synergistic interactions)
• •Compensation is acceptable: high score on one criterion can offset low on another
• •Decision matrix is complete (no missing values)

When not to use

• •Criteria strongly correlated → consider DEMATEL/ANP for interdependence
• •Non-compensatory preferences → consider outranking (ELECTRE/PROMETHEE)

Edge cases

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

Common pitfalls

• •Hatalı: 'WISP bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Criteria preferences are independent (no synergistic interactions)
• •Hatalı: 'WISP bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Compensation is acceptable: high score on one criterion can offset low on another
• •Hatalı: 'WISP bu varsayımı kontrol etmeden uygulamak'. Doğrusu: Decision matrix is complete (no missing values)
• •Hatalı: WISP'yi 'Criteria strongly correlated → consider DEMATEL/ANP for interdependence' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.
• •Hatalı: WISP'yi 'Non-compensatory preferences → consider outranking (ELECTRE/PROMETHEE)' durumunda kullanmak: recommendation_metadata.not_recommended_when alternatif öneriyor.

Worked example

1. 1.Adım 1 (F1): Step 1: Max-normalisation r_ij = x_ij / max_i x_ij (direction-aware). Formül: r_{ij} = \dfrac{x_{ij}}{\max_{i} x_{ij}} Anchor: Stanujkic 2021, p.4 Eq.(1)
2. 2.Adım 2 (F2): Step 2: Weighted matrix v_ij = w_j r_ij. Formül: v_{ij} = w_{j}\,r_{ij} Anchor: Stanujkic 2021, p.4 Eq.(2)
3. 3.Adım 3 (F3): Step 3: Four utility variants: u_sd, u_pd, u_sr, u_pr (sum/product, diff/ratio). Formül: u_{sd}=\sum_{J^{+}}v-\sum_{J^{-}}v;\ u_{pd}=\prod_{J^{+}}v-\prod_{J^{-}}v;\ u_{sr}=\sum_{J^{+}}v/\sum_{J^{-}}v;\ u_{pr}=\prod_{J^{+}}v/\prod_{J^{-}}v Anchor: Stanujkic 2021, p.5 Eqs.(3)-(6)
4. 4.Adım 4 (F4): Step 4: Final WISP score U_i = mean of normalised u_{sd},u_{pd},u_{sr},u_{pr}. Formül: U_{i} = \dfrac{1}{4}\sum_{k\in\{sd,pd,sr,pr\}} \bar{u}^{(k)}_{i} Anchor: Stanujkic 2021, p.5 Eq.(7)

Commonly paired with

• •AHP + WISP (high)
• •BWM + WISP (high)
• •ENTROPY + WISP (high)
• •CRITIC + WISP (high)
• •SWARA + WISP (high)

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