Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making

Shouzhen Zeng, Shahzaib Asharf, Muhammad Arif and Saleem Abdullah
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Shouzhen Zeng: School of Business, Ningbo University, Ningbo 315211, China
Shahzaib Asharf: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Muhammad Arif: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
Saleem Abdullah: Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan

Mathematics, 2019, vol. 7, issue 2, 1-16

Abstract: A divergence measure plays a crucial part in discriminating two probability distributions and drawing inferences constructed on such discrimination. The intention of this study is to propose such a divergence measure based on Jensen inequality and exponential entropy in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to familiarize a novel picture fuzzy divergence measure. Besides proposing the validity, some of its key properties are also deliberated. Finally, two illustrative examples are solved based on the proposed picture fuzzy divergence measure which shows the expediency and effectiveness of the proposed approach.

Keywords: exponential Jensen divergence; picture fuzzy divergence measure; decision making (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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