Linguistic Pythagorean fuzzy sets and its applications in multiattribute decision‐making process

• Published in: International journal of intelligent systems Vol. 33; no. 6; pp. 1234 - 1263
• Main Author: Garg, Harish
• Format: Journal Article
• Language: English
• Published: New York Hindawi Limited 01-06-2018
• Subjects: aggregation operators; Decision making; Fuzzy sets; Intelligent systems; linguistic Pythagorean fuzzy set; Linguistics; Mathematical programming; multiattribute decision making; Operators; Pythagorean fuzzy set; uncertainty
• ISSN: 0884-8173; 1098-111X
• DOI: 10.1002/int.21979

In this article, a new linguistic Pythagorean fuzzy set (LPFS) is presented by combining the concepts of a Pythagorean fuzzy set and linguistic fuzzy set. LPFS is a better way to deal with the uncertain and imprecise information in decision making, which is characterized by linguistic membership and nonmembership degrees. Some of the basic operational laws, score, and accuracy functions are defined to compare the two or more linguistic Pythagorean fuzzy numbers and their properties are investigated in detail. Based on the norm operations, some series of the linguistic Pythagorean weighted averaging and geometric aggregation operators, named as linguistic Pythagorean fuzzy weighted average and geometric, ordered weighted average and geometric with linguistic Pythagorean fuzzy information are proposed. Furthermore, a multiattribute decision‐making method is established based on these operators. Finally, an illustrative example is used to illustrate the applicability and validity of the proposed approach and compare the results with the existing methods to show the effectiveness of it.