Abstract
The aim of this paper is to propose the 2-tuple spherical fuzzy linguistic aggregation operators and a decision-making approach to deal with uncertainties in the form of 2-tuple spherical fuzzy linguistic sets. 2-tuple spherical fuzzy linguistic operators have more flexibility than general fuzzy set. We proposed a numbers of aggregation operators, namely 2-tuple spherical fuzzy linguistic weighted average, 2-tuple spherical fuzzy linguistic ordered weighted average, 2-tuple spherical fuzzy linguistic hybrid average, 2-tuple spherical fuzzy linguistic weighted geometric, 2-tuple spherical fuzzy linguistic ordered geometric, and 2-tuple spherical fuzzy linguistic hybrid geometric operators. The distinguishing feature of these proposed operators is studied. At that point, we have used these operators to design a model to deal with multiple attribute decision-making issues under the 2-tuple spherical fuzzy linguistic information. Then, a practical application for best company selection for feeds is given to prove the introduced technique and to show its practicability and effectiveness. Besides this, a systematic comparison analysis with other existent methods is conducted to reveal the advantage of our method. Results indicate that the proposed method is suitable and effective for decision making problems.
Highlights
In the representation of data information there exists some uncertainty in the decision-making (DM) process
Due to the motivation and inspiration of the above discussion in this article we introduce the notion of 2-tuple spherical fuzzy linguistic sets, each element of which is composed of linguistic postive, neutral, and negative membership grades
We introduced the concept of 2-tuple spherical fuzzy linguistic sets and their basic operations based on the spherical fuzzy set and 2-tuple linguistic information
Summary
In the representation of data information there exists some uncertainty in the decision-making (DM) process. Garg [23] developed the generalized PF geometric aggregation operators utilizing different norm operations for multi-attribute group decision-making problems. Some approaches to multi-attribute decision making based on 2TSFLNs are presented, and applied these approachs in the field of decision making For this purpose, the reminder of the article is structured as; In Section 2, we briefly discuss the basic knowledge about the 2-tuple linguistic model and spherical fuzzy set.
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