International Journal of Computational Intelligence Systems

Volume 11, Issue 1, 2018, Pages 514 - 524

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

Authors
Zhaoyan Li, Chenfang Zhao, Zheng Peipqyz@263.net
School of Computer and Software Engineering, Xihua University, Chengdu 610039, Sichuan, China.
Received 23 August 2017, Accepted 16 January 2018, Available Online 31 January 2018.
DOI
https://doi.org/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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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
11 - 1
Pages
514 - 524
Publication Date
2018/01/31
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
https://doi.org/10.2991/ijcis.11.1.38How to use a DOI?
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/).

Cite this article

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  - https://doi.org/10.2991/ijcis.11.1.38
ID  - Li2018
ER  -