RIM - Reference Ideal Method

Overview

I_i∈[0,1]. Higher I means the weighted normalized alternative P_i is closer to the ideal vector w and farther from the non-ideal vector 0. The reference interval lets the decision maker specify a satisficing range rather than only an extreme point.

Output

utility, higher is better

Data

Crisp, complete numeric matrix

Weights

Needs a weight source

Size

2+ alternatives, 3-12 criteria works best

Used for

Alternative selection, Supplier evaluation

How it works

1. 1

   x_ij değerini [A_j,B_j] aralığı ve [C_j,D_j] referans idealiyle parçalı olarak n_ij∈[0,1] değerine dönüştür.

2. 2

   p_ij=n_ijw_j; A_i^+=||P_i−w||₂ ve A_i^−=||P_i||₂ uzaklıklarını hesapla.

3. 3

   I_i=A_i^−/(A_i^++A_i^−) göreli indeksini hesapla ve azalan sırala.

Look elsewhere when

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)

Edge cases and pitfalls

• If A_i^+ + A_i^- is zero, the relative index is undefined and the kernel fails closed.

Works with

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