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

Mathematics ◽  
2019 ◽  
Vol 7 (2) ◽  
pp. 191 ◽  
Author(s):  
Shouzhen Zeng ◽  
Shahzaib Asharf ◽  
Muhammad Arif ◽  
Saleem Abdullah

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.

2018 ◽  
Vol 2018 ◽  
pp. 1-9 ◽  
Author(s):  
Rajesh Joshi ◽  
Satish Kumar

A divergence measure plays an important role in discriminating two probability distributions and drawing inferences based on such discrimination. This communication introduces one such divergence measure based on Jensen inequality and exponential entropy introduced by Pal and Pal in the settings of probability theory. Further, the idea has been generalized to fuzzy sets to introduce a new fuzzy divergence measure. Besides establishing the validity, some of its major properties are also studied. At last, the application of proposed fuzzy divergence measure is given in strategic decision-making.


1999 ◽  
Author(s):  
Mark F. Stasson ◽  
Jason W. Hart

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