International Journal of Computational Intelligence Systems

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Volume 12, Issue 2, 2019, Pages 498 - 512

A Novel Method Based on Extended Uncertain 2-tuple Linguistic Muirhead Mean Operators to MAGDM under Uncertain 2-Tuple Linguistic Environment

Authors
Yi Liu1, 2, *, Jun Liu3, Ya Qin2, Yang Xu1
1National-Local Joint Engineering Laboratory of System Credibility Automatic Verification, Southwest Jiaotong University, No. 111 North Section 1 of the second ring road, Chengdu, Sichuan 610031, P.R. China
2Data Recovery Key Laboratory of Sichuan Province, Neijiang Normal University, No. 705 of Dongtong Road, Neijiang, Sichuan 641000, P.R. China
3School of Computing, Ulster University at Jordanstown Campus, Shore Road, Newtownabbey, Co. Antrim, Northern Ireland BT37 0QB, UK
*Corresponding author. Email: liuyiyl@126.com
Corresponding Author
Yi Liu
Received 6 June 2018, Revised 17 February 2019, Accepted 14 March 2019, Available Online 29 March 2019.
DOI
10.2991/ijcis.d.190315.001How to use a DOI?
Keywords
Modified uncertain 2-tuple linguistic representation model; EUL2–tuple-WMM operators; MAGDM
Abstract

The present work is focused on multi-attribute group decision-making (MAGDM) problems with the uncertain 2-tuple linguistic information (ULI2–tuple) based on new aggregation operators which can capture interrelationships of attributes by a parameter vector P. To begin with, we present some new uncertain 2-tuple linguistic MM aggregation (UL2–tuple-MM) operators to handle MAGDM problems with ULI2–tuple, including the uncertain 2-tuple linguistic Muirhead mean (UL2–tuple-MM) operator, uncertain 2-tuple linguistic weighted Muirhead mean (UL2–tuple-WMM) operator. In addition, we extend UL2–tuple-WMM operator to a new aggregation operator named extended uncertain 2-tuple linguistic weighted Muirhead mean (EUL2–tuple-WMM) operators in order to handle some decision-making problems with ULI2–tuple whose attribute values are expressed in ULI2–tuple and attribute weights are also 2-tuple linguistic information. Whilst, the some properties of these new aggregation operators are obtained and some special cases are discussed. Moreover, we propose a new method to solve the MAGDM problems with ULI2–tuple. Finally, a numerical example is given to show the validity of the proposed method and the advantages of proposed method are also analysed.

Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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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<Previous Article In Issue
Next Article In Issue>
Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
498 - 512
Publication Date
2019/03/29
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.190315.001How to use a DOI?
Copyright
© 2019 The Authors. Published by Atlantis Press SARL.
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/).

Cite this article

risenwbib
TY  - JOUR
AU  - Yi Liu
AU  - Jun Liu
AU  - Ya Qin
AU  - Yang Xu
PY  - 2019
DA  - 2019/03/29
TI  - A Novel Method Based on Extended Uncertain 2-tuple Linguistic Muirhead Mean Operators to MAGDM under Uncertain 2-Tuple Linguistic Environment
JO  - International Journal of Computational Intelligence Systems
SP  - 498
EP  - 512
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.190315.001
DO  - 10.2991/ijcis.d.190315.001
ID  - Liu2019
ER  -