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Symmetric Intuitionistic Fuzzy Weighted Mean Operators Based on Weighted Archimedean t-Norms and t-Conorms for Multi-Criteria Decision Making
Volume 31, Issue 1 (2020), pp. 89–112
Pub. online: 23 March 2020      Type: Research Article      Open accessOpen Access
Received
1 February 2019
Accepted
1 September 2019
Published
23 March 2020

Abstract

Using different operational laws on membership and non-membership information, various intuitionistic fuzzy aggregation operators based on Archimedean t-norm and t-conorm or their special cases have been extensively investigated for multi-criteria decision making. In spite of this, they are not suitable for some practical cases. In this paper, symmetric intuitionistic fuzzy weighted mean operators w.r.t. general weighted Archimedean t-norms and t-conorms are introduced to deal neutrally or fairly with membership and non-membership information to meet the need of decision makers in some cases. The relationship among the proposed operators and the existing ones is discussed. Particularly, using the parameters in the aggregation operators, the attitude whether the decision maker is optimistic, pessimistic or impartial is reflected. At last, an example is given to show the behaviour of the proposed operators for multi-criteria decision making under intuitionistic fuzzy environment.

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Biographies

Ma Zhen Ming
dmgywto@126.com

Z.M. Ma is an associate professor at School of Mathematics and Statistics, Linyi University. He has received his MS degree in systems theory and PhD in computational mathematics from the School of Mathematics and Statistics, Wuhan University. His current research is focused on decision-making theory and intelligent decision support systems.

Yang Wei
wyoeng@126.com

W. Yang is a lecturer at School of Mathematics and Statistics, Linyi University. She has received her MS degree in applied mathematics from the School of Scineces, University of Science and Technology, Beijing. Her current research is focused on decision-making theory.


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© 2020 Vilnius University
Open access article under the CC BY license.

Keywords
multi-criteria decision making intuitionistic fuzzy set weighted Archimedean t-norm and t-conorm symmetric intuitionistic fuzzy weighted mean operator

Funding
This research was supported by the NSF of Shandong Province (No. ZR2017MG027) and AMEP (DYSP) of Linyi University (No. LYDX2014BS017).

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