Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-11-01
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
The concept of Pythagorean fuzzy sets (PFSs) was initially developed by Yager in 2013, which provides a novel way to model uncertainty and vagueness with high precision and accuracy compared to intuitionistic fuzzy sets (IFSs).
The concept was concretely designed to represent uncertainty and vagueness in mathematical way and to furnish a formalized tool for tackling imprecision to real problems.
In the present paper, we have used both probabilistic and nonprobabilistic types to calculate fuzzy entropy of PFSs.
Firstly, a probabilistic-type entropy measure for PFSs is proposed and then axiomatic definitions and properties are established.
Secondly, we utilize a nonprobabilistic-type with distances to construct new entropy measures for PFSs.
Then a min–max operation to calculate entropy measures for PFSs is suggested.
Some examples are also used to demonstrate suitability and reliability of the proposed methods, especially for choosing the best one/ones in structured linguistic variables.
Furthermore, a new method based on the chosen entropies is presented for Pythagorean fuzzy multicriterion decision making to compute criteria weights with ranking of alternatives.
A comparison analysis with the most recent and relevant Pythagorean fuzzy entropy is conducted to reveal the advantages of our developed methods.
Finally, this method is applied for ranking China-Pakistan Economic Corridor (CPEC) projects.
These examples with applications demonstrate practical effectiveness of the proposed entropy measures.
American Psychological Association (APA)
Yang, Miin-Shen& Hussain, Zahid. 2018. Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making. Complexity،Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1133401
Modern Language Association (MLA)
Yang, Miin-Shen& Hussain, Zahid. Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making. Complexity No. 2018 (2018), pp.1-14.
https://search.emarefa.net/detail/BIM-1133401
American Medical Association (AMA)
Yang, Miin-Shen& Hussain, Zahid. Fuzzy Entropy for Pythagorean Fuzzy Sets with Application to Multicriterion Decision Making. Complexity. 2018. Vol. 2018, no. 2018, pp.1-14.
https://search.emarefa.net/detail/BIM-1133401
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1133401