Fermatean fuzzy linguistic set and its application in multicriteria decision making |
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Authors: | Donghai Liu Yuanyuan Liu Xiaohong Chen |
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Affiliation: | 1. Department of Mathematics, Hunan University of Science and Technology, Xiangtan, Hunan, China;2. Mobile E-business Collaborative Innovation Center of Hunan Province, Hunan University of Commerce, Changsha, Hunan, China |
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Abstract: | In this paper, we propose the concept of Fermatean fuzzy linguistic term sets based on linguistic term sets and Fermatean fuzzy sets. The basic operational laws, the score function, and the accuracy function of Fermatean fuzzy linguistic numbers are provided. Then we propose the Fermatean fuzzy linguistic weighted aggregation operator, the Fermatean fuzzy linguistic weighted geometric operator, and the Fermatean fuzzy linguistic distance measures. Furthermore, we extend the TOPSIS method to the proposed distance measures, and the ranking of alternatives is obtained under a Fermatean fuzzy linguistic environment. An example is provided to illustrate the feasibility and effectiveness of the proposed method, and a comparison with the existing method is also analyzed. Finally, the sensitivity analysis of the parameter in the proposed distance measure is also discussed. |
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Keywords: | aggregation operator distance measure fermatean fuzzy linguistic term set (FFLTS) fermatean fuzzy set (FFS) TOPSIS method |
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