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

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 t...

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Bibliographic Details
Main Authors: Shouzhen Zeng, Shahzaib Asharf, Muhammad Arif, Saleem Abdullah
Format: Article
Language:English
Published: MDPI AG 2019-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/7/2/191
Description
Summary: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.
ISSN:2227-7390