Operations on Hesitant Linguistic terms sets Induced By Archimedean Triangular Norms And Conorms
Zhaoyan Li, Chenfang Zhao, Zheng Pei
International Journal of Computational Intelligence Systems · 2018
doi:10.2991/ijcis.11.1.38 (opens in a new tab)
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Abstract
The aim of the paper is to discuss some new operations on hesitant fuzzy linguistic terms sets based on Archimedean t-norm and t-conorm. The advantage is that the operations on hesitant fuzzy linguistic terms sets are closed, by studying propositions of the operations on hesitant fuzzy linguistic terms sets, scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators are proposed. An example is presented to illustrate the practicality of the four well-known scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators, which are also compared with the symbolic aggregation-based method in the example, results show that scalar-multiplication addition and power multiplication hesitant fuzzy linguistic terms aggregation operators can be applied to fuse hesitant fuzzy linguistic terms sets.
Abstract licence: CC BY-NC-ND
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