Operations on Hesitant Linguistic terms sets Induced By Archimedean Triangular Norms And Conorms

DOI

10.2991/ijcis.11.1.38How to use a DOI?

Keywords

Triangular norms and conorms; 2-tuple linguistic representation; Hesitant fuzzy linguistic terms set; Linguistic aggregation operator; Linguistic decision making

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.

Copyright

© 2018, the Authors. Published by Atlantis Press.

Open Access

This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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TY  - JOUR
AU  - Zhaoyan Li
AU  - Chenfang Zhao
AU  - Zheng Pei
PY  - 2018
DA  - 2018/01/31
TI  - Operations on Hesitant Linguistic terms sets Induced By Archimedean Triangular Norms And Conorms
JO  - International Journal of Computational Intelligence Systems
SP  - 514
EP  - 524
VL  - 11
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.11.1.38
DO  - 10.2991/ijcis.11.1.38
ID  - Li2018
ER  -