On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM

Singh, Surender; Lalotra, Sumita; Ganie, Abdul Haseeb

doi:10.2478/cait-2020-0001

Abstract

To overcome the certain limitations of Intuitionistic Fuzzy Sets (IFSs), the notion of Intuitionistic Fuzzy Sets of Second Type (IFSST) was introduced. IFSST is a modified version of IFS for handling some problems in a reasonable manner. Type two Intuitionistic Fuzzy entropy (IFSST-entropy) measures the amount of ambiguity/uncertainty present in an IFSST. In the present paper, we introduce the concept of dual measure of IFSST-entropy, i.e., IFSST-knowledge measure. We develop some IFSST-knowledge measures and prove some of their properties. We also show the superiority of the proposed IFSST-knowledge measures through comparative study. Further, we demonstrate the application of the proposed knowledge measures in Multi-Criteria Decision-Making (MCDM).

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On Some Knowledge Measures of Intuitionistic Fuzzy Sets of Type Two with Application to MCDM

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