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A New Procedure to Intuitionistic Uncertain Linguistic Group Decision Making
Volume 29, Issue 2 (2018), pp. 371–397
Pub. online: 1 January 2018      Type: Research Article      Open accessOpen Access
Received
1 December 2017
Accepted
1 April 2018
Published
1 January 2018

Abstract

Intuitionistic uncertain linguistic variables (IULVs) are useful to express the qualitative and quantitative recognitions of decision makers. However, after reviewing the previous operational laws on IULVs, we find there are some limitations. To address these issues, we define several new operations on IULVs and give a new ranking method. To improve the utilization of IULVs, this paper defines two Choquet operators: the intuitionistic uncertain linguistic symmetrical Choquet averaging (IULSCA) operator and the intuitionistic uncertain linguistic symmetrical Choquet geometric mean (IULSCGM) operator, which can address the internal correlations among elements. To globally reflect the interactive characteristics of the importance of elements, two generalized Shapley intuitionistic uncertain linguistic symmetrical Choquet operators are presented. Subsequently, a new distance measure is defined, which is then used to build models to ascertain fuzzy measures on decision maker and criteria sets to address the case where the weighting information is partly known. After that, a new procedure to intuitionistic uncertain linguistic group decision making is developed. Finally, a specific example is offered to illustrate the practicality of the new procedure, and the comparison analysis is also made.

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Biographies

Zhang Lifei
lifei@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.

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 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.

Ma Beiling
mbling@126.com

B. Ma received his PhD degree in Business Administration from Central South University in 2012. Currently, she is an associate professor in Hunan University of Commerce. She has contributed over 20 journal articles to professional journals such as Systems Engineering – Theory & Practice, Journal of Hunan University (Natural Sciences) Soft Science–Science & Technology Progress and Policy, Economic Geography, Journal of Investigative Medicine, Asian Journal of Chemistry, etc. Her current research interests include uncertain decision making, game theory, environmental resource management, and innovation management.


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Keywords
group decision making intuitionistic uncertain linguistic variable Choquet integral generalized Shapley function

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