DEVELOPING A FUZZY MCDM MODEL VIA A BENEFIT/COST TRADEOFF CONCEPT

ABSTRACT

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.

Keywords:

• Fuzzy MCDM
• α-cuts
• Benefit
• Cost
• Ranking