Multi-Attribute Group Decision-Making Method based on Possibility Degree of Trapezoidal Interval Type-2 Intuitionistic Fuzzy Numbers
The objective of this paper is to present a new approach based on possibility degree to solve multi- attribute group decision making (MAGDM) problems in which the criteria value takes the form of interval type-2 intuitionistic fuzzy number. First, a new expected value function is defined and an optimal model based on maximizing deviation method is constructed to obtain weight coefficients when criteria weight information is partially known. Then, the overall value of each alternative is calculated by using the defined aggregation operators. Furthermore, a new possibility degree, which is proposed to overcome some drawbacks of the existing methods, is introduced for comparisons between the overall values of alternatives to construct a possibility degree matrix. Based on the constructed matrix, all of the alternatives are ranked according to the ranking vector derived from the matrix, and the best one is selected. Furthermore, an illustrative example is provided to show the feasibility and applicability of the proposed approach.
Keywords - Interval Type-2 Fuzzy Sets, Possibility Mean Value, Fuzzy Multiple Attribute Group Decision Making