New operations for interval-valued Pythagorean fuzzy set

• Published in: Scientia Iranica. Transaction E, Industrial engineering Vol. 26; no. 2; pp. 1049 - 1076
• Main Author: Peng, X
• Format: Journal Article
• Language: English
• Published: Tehran Sharif University of Technology 01.04.2019
• Subjects: Algorithms; Decision making; Fuzzy sets; Multiple criteria decision making; Multiple criterion; Operators (mathematics)
• DOI: 10.24200/sci.2018.5142.1119

Interval-Valued Pythagorean Fuzzy Set (IVPFS), originally proposed by Peng and Yang, is a novel tool to deal with vagueness and incertitude. As a generalized set, IVPFS has a close relationship with Interval-Valued Intuitionistic Fuzzy Set (IVIFS). IVPFS can be reduced to IVIFS, satisfying the condition μ+ + ν+ ≤ 1. However, the related operations of IVPFS do not take different conditions into consideration. In this paper, we initiate some new interval-valued Pythagorean fuzzy operators (...) and discuss their properties in relation with some existing operators (...) in detail. It will promote the development of interval-valued Pythagorean fuzzy operators. Later, an algorithm is proposed to deal with Multi-Criteria Decision-Making (MCDM) problem based on the proposed ... operator. Finally, the effectiveness and feasibility of the proposed algorithm is demonstrated by mine emergency decision-making example. © 2019 Sharif University of Technology. All rights reserved.