Multi-criteria decision-making method with leniency reduction based on interval-valued fuzzy sets

Abstract

The purpose of this article is to present a useful method for estimating the importance of criteria and reducing the leniency bias in multi-criteria decision analysis based on interval-valued fuzzy sets. Several types of net predispositions are defined to represent an aggregated effect of interval-valued evaluations. The suitability function to measure the overall evaluation of each alternative is then determined based on simple additive weighting (SAW) methods. Another method, the relative closeness of each alternative to the positive-ideal solution, can also be obtained by net predispositions when using the technique for order preference by similarity to ideal solution (TOPSIS). Because positive or negative leniency may exist when most criteria are assigned unduly high and low ratings, respectively, some deviation variables are introduced to mitigate the effects of overestimated and underestimated ratings on criterion importance. Considering the two objectives of maximal weighted suitability (or maximal closeness coefficient) and minimal deviation values, an integrated programming model is proposed to compute the optimal weights for the criteria and the corresponding suitability degrees (or closeness coefficient values) for alternative rankings. Flexible algorithms with SAW and TOPSIS methods are established by considering both objective and subjective information to compute optimal multi-criteria decisions. Finally, the feasibility and effectiveness of the proposed methods are illustrated by a numerical example.

本研究旨在區間值模糊集合之決策環境下 ， 發展準則重要性求解與降低仁慈偏差的多評準決策分析方法。 本研究定義不同類型之淨傾向以衡量區間模糊評估值之集成效果 ， 並據以界定簡單加總加權法(SAW)中衡量方案整體評價之適合度函數、及理想解相似性之順序偏好技術(TOPSIS)中之方案與理想解的相對貼近度。 有鑑於決策者主觀判定準則重要性時 ， 可能發生重要程度高估之正向仁慈現象或重要程度低估之負向仁慈現象 ， 故本研究引進離差變數 ， 以改善準則重要性之正向仁慈或負向仁慈偏誤。 考慮最大加權適合度函數(或最大加權貼近係數)與最小離差變數值之雙目標 ， 本研究提出整合性規劃模型 ， 以求解最佳準則權重及計算最佳適合度函數值(或最佳貼近係數值) ， 並進行方案之最終排序。 本研究針對 SAW 與 TOPSIS 分別發展綜合考量客觀、主觀資訊之多準則決策分析演算法。 最後 ， 本研究以數值範例說明研提方法之可行性與有效性。

(*聯絡人: [email protected])

Keywords:

• leniency bias
• multi-criteria decision analysis
• interval-valued fuzzy set
• net predisposition
• integrated programming model

Keywords:

• 關鍵詞： 仁慈偏差 ， 多評準決策分析 ， 區間值模糊集合 ， 淨傾向 ， 整合性規劃模型

Notes

(*聯絡人: [email protected])