1 Cross entropy measures of bipolar and interval 2 bipolar neutrosophic sets and their application for 3 multi-attribute decision making 4 5

Abstract

Bipolar neutrosophic set is an important extension of bipolar fuzzy set. This set is a 15 hybridization of bipolar fuzzy set and neutrosophic set. Every element of a bipolar neutrosophic 16 set consists of three independent positive membership functions and three independent negative 17 membership functions. In this paper, we develop cross entropy measures… (More)

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