Intuitionistic Multi-fuzzy Convolution Operator and Its Application in Decision Making

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Intuitionistic multi-fuzzy set (IMFS) is a generalization of multi-fuzzy set, where the elements are having multiple numbers of membership and non-membership values instead of a single membership and non-membership value. Here we develop intuitionistic multi-fuzzy convolution (IMFC) operator for information aggregation using IMFS. This paper introduces harmonic average method to degenerate IMFS to intuitionistic fuzzy set (IFS). Then we present a decision making approach applying the proposed IMFC operator, where harmonic average, Hamming distance, and Euclidean distance measures are used for the decision making purpose. Finally, we have given a real life example to show the applicability of the proposed operator.