Linguistic Spherical Fuzzy Aggregation Operators and Their Applications in Multi-Attribute Decision Making Problems

Huanhuan Jin, Shahzaib Ashraf, Saleem Abdullah, Muhammad Qiyas, Mahwish Bano and Shouzhen Zeng
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Huanhuan Jin: Hangzhou College of Commerce, Zhejiang Gongshang University, Hangzhou 310012, China
Shahzaib Ashraf: Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan
Saleem Abdullah: Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan
Muhammad Qiyas: Department of Mathematics, Abdul Wali Khan Univesity, Mardan 23200, Pakistan
Mahwish Bano: Department of Mathematics, Air Univerity, Islamabad 44000, Pakistan
Shouzhen Zeng: School of Business, Ningbo University, Ningbo 315211, China

Mathematics, 2019, vol. 7, issue 5, 1-22

Abstract: The key objective of the proposed work in this paper is to introduce a generalized form of linguistic picture fuzzy set, so-called linguistic spherical fuzzy set (LSFS), combining the notion of linguistic fuzzy set and spherical fuzzy set. In LSFS we deal with the vague and defective information in decision making. LSFS is characterized by linguistic positive, linguistic neutral and linguistic negative membership degree which satisfies the conditions that the square sum of its linguistic membership degrees is less than or equal to 1. In this paper, we investigate the basic operations of linguistic spherical fuzzy sets and discuss some related results. We extend operational laws of aggregation operators and propose linguistic spherical fuzzy weighted averaging and geometric operators based on spherical fuzzy numbers. Further, the proposed aggregation operators of linguistic spherical fuzzy number are applied to multi-attribute group decision-making problems. To implement the proposed models, we provide some numerical applications of group decision-making problems. In addition, compared with the previous model, we conclude that the proposed technique is more effective and reliable.

Keywords: aggregation operators; spherical fuzzy set; linguistic spherical fuzzy set; decision making problems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (6)

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