Group decision making under generalized fuzzy soft sets and limited cognition of decision makers

Abstract Typically, the decision making process assumes that the decision maker’s cognition for all aspects of a problem is the same. However, inadequate experience, lack of knowledge, and time suggest otherwise. Therefore, to recognize the impact of the decision maker’s cognition on the validity of the information provided, this paper develops a fuzzy group decision making method based on the generalized fuzzy soft set (GFSS). We apply the Bonferroni mean operators to develop the GFSS Bonferroni mean operator, which can be used for aggregating the information gleaned from the decision makers into collective information, and we construct the GFSS to revise the information provided by the decision makers (DMs). A similarity measure between the GFSSs is proposed and is used to identify the DMs’ weights. Finally, an illustrative example highlights the proposed method and demonstrates the solution characteristics.

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