International Journal of Computational Intelligence Systems

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Volume 12, Issue 2, 2019, Pages 1339 - 1352

On Consistency and Priority Weights for Uncertain 2-Tuple Linguistic Preference Relations

Authors
Peng Wu1, Jiaming Zhu1, Ligang Zhou1, 2, *, Huayou Chen1, Yu Chen1
1School of Mathematical Sciences, Anhui University, Hefei 230601, Anhui, P. R. China
2China Institute of Manufacturing Development, Nanjing University of Information Science and Technology, Nanjing 210044, Jiangsu, P. R. China
*Corresponding author. Email: shuiqiaozlg@126.com
Corresponding Author
Ligang Zhou
Received 8 November 2018, Accepted 15 October 2019, Available Online 22 November 2019.
DOI
10.2991/ijcis.d.191104.001How to use a DOI?
Keywords
Group decision-making; Uncertain 2-tuple linguistic preference relations; Additive consistency; Uncertain 2-tuple linguistic priority weights
Abstract

Consistency and priority weights of preference relations are two important phases of decision-making process since the decision-making solutions are determined by them. Therefore, it is meaningful to investigate consistency and priority weights for preference relations. In this paper, consistency and uncertain 2-tuple linguistic priority weights of uncertain 2-tuple linguistic preference relations (U2TLPRs) are investigated. First, based on the additive consistency, an additive consistency index is developed to measure the additive consistency level of U2TLPRs. Second, a goal programming model is proposed to adjust the unacceptable additive consistent U2TLPR until it satisfies acceptable additive consistency. Furthermore, an optimization model is developed to derive the uncertain 2-tuple linguistic priority weights from an U2TLPR. Meanwhile, in group decision-making (GDM) problems, similarities and confidence degrees of decision makers (DMs) are defined to determine DMs' weights. Subsequently the properties of collective U2TLPR are discussed. Finally, the proposed methods are implemented in two examples including a GDM problem to verify the validity of the proposed methods.

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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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
12 - 2
Pages
1339 - 1352
Publication Date
2019/11/22
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.191104.001How 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  - Peng Wu
AU  - Jiaming Zhu
AU  - Ligang Zhou
AU  - Huayou Chen
AU  - Yu Chen
PY  - 2019
DA  - 2019/11/22
TI  - On Consistency and Priority Weights for Uncertain 2-Tuple Linguistic Preference Relations
JO  - International Journal of Computational Intelligence Systems
SP  - 1339
EP  - 1352
VL  - 12
IS  - 2
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.191104.001
DO  - 10.2991/ijcis.d.191104.001
ID  - Wu2019
ER  -