Novel Complex T-Spherical Fuzzy 2-Tuple Linguistic Muirhead Mean Aggregation Operators and Their Application to Multi-Attribute Decision-Making

Authors

Peide Liu^{1, *,} , Zeeshan Ali², Tahir Mahmood^2,

¹School of Management Science and Engineering, Shandong University of Finance and Economics, Shandong Province, China

²Department of Mathematics & Statistics, International Islamic University, Islamabad, Pakistan

^*Corresponding author. Email: peide.liu@gmail.com

DOI

10.2991/ijcis.d.201207.003How to use a DOI?

Keywords

Complex T-spherical fuzzy 2-tuple linguistic sets; Muirhead mean operators; Dual Muirhead mean operators; Multi-attribute decision making

Abstract

Complex T-spherical fuzzy 2-tuple linguistic set (CTSF2-TLS), which is a combination of complex fuzzy set (CFS), T-spherical fuzzy set (TSFS), and 2-tulpe linguistic variable set (2-TLVS), is a proficient technique to express uncertain and awkward information in real decision-making. CTSF2-TLS contains 2-tuple linguistic variable, truth, abstinence, and falsity grades, which gives an extensive freedom for decision-makers to express the uncertain information compared to other existing notions. In this article, we firstly propose a new concept of CTSF2-TLS by using the CFS, TSFS, and 2-TLVS, and the operational laws and comparison methods for CTSF2-TLSs are established, then the complex T-spherical fuzzy 2-tuple linguistic Muirhead mean (CTSF2-TLMM) operator and the complex T-spherical fuzzy 2-tuple linguistic dual Muirhead mean (CTSF2-TLDMM) operator are explored, and some special cases and the desirable properties of the explored operators are also studied. Moreover, we establish a method to solve the multi-attribute decision-making (MADM) problems, in which the evaluation information is described by CTSF2-TLSs. Finally, we use some numerical examples to explain the advantages of the explored method by comparing with other existing methods.

Copyright

© 2021 The Authors. Published by Atlantis Press B.V.

Open Access

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

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TY  - JOUR
AU  - Peide Liu
AU  - Zeeshan Ali
AU  - Tahir Mahmood
PY  - 2020
DA  - 2020/12/17
TI  - Novel Complex T-Spherical Fuzzy 2-Tuple Linguistic Muirhead Mean Aggregation Operators and Their Application to Multi-Attribute Decision-Making
JO  - International Journal of Computational Intelligence Systems
SP  - 295
EP  - 331
VL  - 14
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.201207.003
DO  - 10.2991/ijcis.d.201207.003
ID  - Liu2020
ER  -