Journal
MATHEMATICS
Volume 7, Issue 5, Pages -Publisher
MDPI
DOI: 10.3390/math7050413
Keywords
aggregation operators; spherical fuzzy set; linguistic spherical fuzzy set; decision making problems
Categories
Funding
- Philosophy and Social Science Planning Projects of Zhejiang [16ZJQN022YB]
- Zhejiang Province Natural Science Foundation [LY18G010007]
- Zhejiang Public Technology Applied Research Projects [LGG18F020001]
- Major Humanities and Social Sciences Research Projects in Zhejiang Universities [2018QN058]
- K. C. Wong Magna Fund in Ningbo University
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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.
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