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Pythagorean Fuzzy (R,S)-Norm Information Measure for Multicriteria Decision-Making Problem

Authors :
Abhishek Guleria
Rakesh Kumar Bajaj
Source :
Advances in Fuzzy Systems, Vol 2018 (2018)
Publication Year :
2018
Publisher :
Hindawi Limited, 2018.

Abstract

In the present communication, a parametric (R, S)-norm information measure for the Pythagorean fuzzy set has been proposed with the proof of its validity. The monotonic behavior and maximality feature of the proposed information measure have been studied and presented. Further, an algorithm for solving the multicriteria decision-making problem with the help of the proposed information measure has been provided keeping in view of the different cases for weight criteria, when weights are unknown and other when weights are partially known. Numerical examples for each of the case have been successfully illustrated. Finally, the work has been concluded by providing the scope for future work.

Details

Language :
English
ISSN :
16877101 and 1687711X
Volume :
2018
Database :
Directory of Open Access Journals
Journal :
Advances in Fuzzy Systems
Publication Type :
Academic Journal
Accession number :
edsdoj.5d2c6a1f4f64dae8853c7a554374e7d
Document Type :
article
Full Text :
https://doi.org/10.1155/2018/8023013