Developing a Fuzzy MCDM Model via a Benefit/Cost Tradeoff Concept

本文提出一個「模糊多準則決策」模式之拓展，其中「準則」下「選項」的評等及「準則」的「權重」以模糊數表示之「語意詞」來評估。「準則」區分為「成本」和「效益」兩項。應用「加權正規化效益評估值之總合」和「加權正規化成本評估值之總合」間的「權衡」觀念可將每一「選項」的「最後模糊評估值」以「模糊數」之「alpha-截集」及其運算推導而出。最後利用－「模糊數比序」法將最後「模糊評估值」解模糊來做「選項」之「比序」以制定決策。

關鍵字

模糊多準則決策； alpha-截集；效益；成本；比序

並列摘要

A fuzzy multiple criteria decision-making model is suggested, where the ratings of alternatives versus criteria and the importance weights of criteria are assessed in linguistic terms represented by fuzzy numbers. The criteria are categorized into benefit and cost ones. The membership functions for the final fuzzy evaluation values of alternatives are developed by α-cuts and interval arithmetic of fuzzy numbers via a tradeoff concept between the summation of weighted normalized benefit ratings and that of weighted normalized cost ratings. A fuzzy number ranking approach is then used to defuzzify all the final fuzzy evaluation values for the ordering of alternatives. Some properties are discussed and an example demonstrates the feasibility of the proposed model.