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Informatica


An Approach to Decision Making with Interval-Valued Intuitionistic Hesitant Fuzzy Information Based on the 2-Additive Shapley Function
Volume 29, Issue 1 (2018), pp. 157–185
Pub. online: 1 January 2018      Type: Research Article      Open accessOpen Access
Received
1 May 2017
Accepted
1 December 2017
Published
1 January 2018

Abstract

Interval-valued intuitionistic hesitant fuzzy sets (IVIHFSs) are useful to denote the decision makers’ interval preferred, interval non-preferred and hesitant opinions simultaneously. Considering the application of IVIHFSs, this paper introduces a new decision-making method with interval-valued intuitionistic hesitant fuzzy information that extends the application scopes. To do this, the interval-valued intuitionistic hesitant fuzzy hybrid Shapley weighted averaging (IVIHFHSWA) operator and the interval-valued intuitionistic hesitant fuzzy hybrid Shapley weighted geometric (IVIHFHSWG) operator are defined to aggregate the collective attribute values of alternatives. To reflect the interactions and reduce the complexity of calculating the weights, the 2-additive measures are used to define these two hybrid Shapley weighted operators. To derive the exact weight information of attributes and ordered positions, the associated programming models for determining the optimal 2-additive measures are constructed that are based on the defined Hamming distance measure. To show the feasibility and efficiency of the new method, a practical decision-making problem is offered, which is also used to compare with the previous methods.

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Biographies

Zhang Lifei
ifei@hnu.edu.cn

L. Zhang received her PhD degree in corporate management from Hunan University in 2007. Currently, she is an associate professor in Hunan University. She has contributed over 40 journal articles to professional journals such as China Soft Science, China Industrial Economics, Studies in Science of Science, Journal of Management Sciences in China, R&D Management, Systems Engineering-Theory & Practice, Statistics and Decision, Forum on Science and Technology in China, Soft Science, Journal of Intelligence. Her current research interests include alliance governance, decision making and game theory.

Tang Jie
tjie411@126.com

J. Tang is carrying out her PhD degree in School of Business, Central South University. She received her master degree in School of Management, Qingdao Technological University, China, in 2008. Currently, she has contributed over 10 journal articles to professional journals including International Journal of Intelligent Systems, Computers & Industrial Engineering, International Journal of Information Technology & Decision Making, Soft Computing, International Journal of Fuzzy Systems, International Transactions in Operational Research, Neural Computing and Applications, International Journal of Computational Intelligence Systems, Systems Engineering-Theory & Practice. Her research interests include uncertain multi-attribute decision making, cluster analysis and pattern recognition.

Meng Fanyong
mengfanyongtjie@163.com

F. Meng received his PhD degree in management science and engineering from Beijing Institute of Technology in 2011. Currently, he is a professor in in Central South University. He has contributed over 100 journal articles to professional journals such as Omega, Applied Mathematics and Computation, Group Decision and Negotiation, Information Fusion, Information Sciences, Applied Mathematical Modelling, Applied Soft Computing, Knowledge-Based Systems, Computers & Industrial Engineering, IEEE Transactions on Systems, Man, and Cybernetics Systems, Applied Mathematics Letters, Fuzzy Optimization and Decision Making, Soft Computing, International Journal of Fuzzy Systems, Pattern Analysis and Applications, Cognitive Computation, Informatica, Technological and Economic Development of Economy, Operations Research Letters, Journal of the Operational Research Society, Operational Research, etc. His current research interests include fuzzy mathematics, decision making, and game theory.


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© 2018 Vilnius University
Open access article under the CC BY license.

Keywords
decision making interval-valued intuitionistic hesitant fuzzy set Choquet integral hamming distance Shapley function

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