Multi-Attributes Group Decision Making Involving Promotion Assessment Method with Partial Constraints

Muhammad Touqeer

Multi-Attributes Group Decision Making Involving Promotion Assessment Method with Partial Constraints

Keywords : Fuzzy set, interval type-2 fuzzy set, ranking values, ranking value matrix, collective normalized fuzzy decision matrix, weighted arithmetic average operator


Abstract

Interval type-2 fuzzy sets can articulate the indistinctness and vagueness more competently and have more powerful processing capabilities. They are characterized by the footprint of uncertainty and are incredibly helpful to portray the decision information in the course of decision-making. In this piece of writing, we study the group decision-making problems with partially known information about attribute weights presented by the decision-makers as interval type-2 fuzzy decision matrices. Initially, we employ the interval type-2 fuzzy weighted arithmetic averaging operator to aggregate all individual interval type-2 fuzzy decision matrices into the collective one and then we utilize the ranking value measure to compute the ranking value of each attribute and build the ranking value matrix of the collective interval type-2 fuzzy decision matrix. Afterward, we set up some optimization models to determine the attribute weights. Moreover, we develop a procedure to spot the best alternative. Finally, we provide an illustrative Example to ensure the feasibility of proposed method.

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