research-article

Pythagorean Fuzzy Information Measures and Their Applications

Authors:

Yong YangAuthors Info & Claims

International Journal of Intelligent Systems, Volume 32, Issue 10

Pages 991 - 1029

https://doi.org/10.1002/int.21880

Published: 03 August 2017 Publication History

Abstract

Pythagorean fuzzy set (PFS), originally proposed by Yager, is more capable than intuitionistic fuzzy set (IFS) to handle vagueness in the real world. The main purpose of this paper is to investigate the relationship between the distance measure, the similarity measure, the entropy, and the inclusion measure for PFSs. The primary goal of the study is to suggest the systematic transformation of information measures (distance measure, similarity measure, entropy, inclusion measure) for PFSs. For achieving this goal, some new formulae for information measures of PFSs are introduced. To show the efficiency of the proposed similarity measure, we apply it to pattern recognition, clustering analysis, and medical diagnosis. Some illustrative examples are given to support the findings and also demonstrate their practicality and effectiveness of similarity measure between PFSs.

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Published In

cover image International Journal of Intelligent Systems

International Journal of Intelligent Systems Volume 32, Issue 10

October 2017

124 pages

ISSN:0884-8173

DOI:10.1002/int.2017.32.issue-10

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© 2017 Wiley Periodicals, Inc.

Publisher

John Wiley and Sons Ltd.

United Kingdom

Publication History

Published: 03 August 2017

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Garg HKaur G(2024)A Novel Group Decision-Making Approach With Entropy Measure for Energy Aware in Wireless Sensor Network ArchitectureIEEE Transactions on Consumer Electronics10.1109/TCE.2024.339529970:4(6863-6870)Online publication date: 1-Nov-2024
https://dl.acm.org/doi/10.1109/TCE.2024.3395299
Aydoğdu AGül SAlniak T(2024)New information measures for linear Diophantine fuzzy sets and their applications with LDF-ARAS on data storage system selection problemExpert Systems with Applications: An International Journal10.1016/j.eswa.2024.124135252:PAOnline publication date: 24-Jul-2024
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Jin FZheng XLiu JZhou LChen H(2024)Group consensus reaching process based on information measures with probabilistic linguistic preference relationsExpert Systems with Applications: An International Journal10.1016/j.eswa.2024.123573249:PAOnline publication date: 1-Sep-2024
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Meng ZLin RWu B(2024)Multi-criteria group decision making based on graph neural networks in Pythagorean fuzzy environmentExpert Systems with Applications: An International Journal10.1016/j.eswa.2023.122803242:COnline publication date: 16-May-2024
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