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Mathematics 2019, 7(2), 191; https://doi.org/10.3390/math7020191

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

1
School of Business, Ningbo University, Ningbo 315211, China
2
School of Managment, Fudan University, Shanghai 200433, China
3
Department of Mathematics, Abdul Wali Khan University, Mardan 23200, Pakistan
*
Authors to whom correspondence should be addressed.
Received: 14 January 2019 / Revised: 13 February 2019 / Accepted: 13 February 2019 / Published: 17 February 2019
(This article belongs to the Section Mathematics and Computers Science)
Full-Text   |   PDF [309 KB, uploaded 24 February 2019]

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. View Full-Text
Keywords: exponential Jensen divergence; picture fuzzy divergence measure; decision making exponential Jensen divergence; picture fuzzy divergence measure; decision making
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Zeng, S.; Asharf, S.; Arif, M.; Abdullah, S. Application of Exponential Jensen Picture Fuzzy Divergence Measure in Multi-Criteria Group Decision Making. Mathematics 2019, 7, 191.

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