MULTI-ATTRIBUTE DECISION MAKING METHOD BASED ON BONFERRONI MEAN OPERATOR and possibility degree OF INTERVAL TYPE-۲ TRAPEZOIDAL FUZZY SETS

This paper proposes a new approach based on Bonferroni mean operator and possibility degree to solve fuzzy multi-attribute decision making (FMADM) problems in which the attribute value takes the form of interval type-۲ fuzzy numbers. We introduce the concepts of interval possibility mean value and present a new method for calculating the possibility degree of two interval trapezoidal type-۲ fuzzy sets (IT۲ TrFSs). Then, we develop two aggregation techniques, which are called the interval type-۲ trapezoidal fuzzy Bonferroni mean (IT۲TFBM) operator and the interval type-۲ trapezoidal fuzzy weighted Bonferroni mean (IT۲TFWBM) operator. We study their properties and discuss their special cases. Based on the IT۲TFWBM operator and the possibility degree, a new method of multi-attribute decision making with interval type-۲ trapezoidal fuzzy information is proposed. Finally, an illustrative example is given to verify the developed approaches and to demonstrate their practicality and effectiveness.

Keywords:

Multi-attributes group decision making , Interval type-۲ fuzzy sets , Bonferroni mean operator , IT۲TFWBM operator