Abstract
In this study a new hybrid aggregation operator named as the generalized intuitionistic fuzzy hybrid Choquet averaging (GIFHCA) operator is defined. Meantime, some desirable properties are studied, and several important cases are examined. Furthermore, we define the generalized Shapley GIFHCA (GS-GIFHCA) operator, which does not only overall consider the importance of elements and their ordered positions, but also globally reflect the correlations among them and their ordered positions. In order to simplify the complexity of solving a fuzzy measure, we further define the generalized λ-Shapley GIFHCA (GΛS-GIFHCA) operator.
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This work was supported by the National Natural Science Foundation of China (Nos. 71201089, 71201110, 71071018 and 71271217), the Natural Science Foundation Youth Project of Shandong Province, China (ZR2012GQ005) and the Specialized Research Fund for the Doctoral Program of Higher Education (No. 20111101110036).
Fanyong Meng is a lecturer in School of Management, Qingdao Technological University, Qiangdao, China. He received a Ph.D. degree in School of Management and Economics, Beijing Institute of Technology, Beijing, China in 2011. At present, he has contributed over 40 journal articles to professional journals such as Technological and Economic Development of Economy, Knowledge-Based Systems, Fuzzy Optimization and Decision Making, Applied Mathematics Letters, International Journal of Fuzzy Systems, Journal of Intelligent and Fuzzy Systems, International Journal of Computational Intelligence Systems, Journal of Systems Science and Complexity. He is also a paper reviewer of some professional journals such as Information Sciences, Knowledge-Based Systems, Fuzzy Optimization and Decision Making, Group Decision and Negotiation, Journal of Intelligent and Fuzzy Systems and Computers & Industrial Engineering. His current research interests include fuzzy mathematics, decision making and games theory.
Qiang Zhang is a professor in School of Management and Economics, Beijing Institute of Technology, Beijing, China. He received a PhD degree in School of Traffic and Transportation, Southwest Jiaotong University, Sichuan, China in 1999. At present, he has contributed over 200 journal articles to professional journals such as Fuzzy Sets and Systems, European Journal of Operational Research, International Journal of Approximate Reasoning, Expert Systems with Applications, Knowledge-Based Systems, Technological and Economic Development of Economy, International Journal of Computational Intelligence Systems, Fuzzy Optimization and Decision Making. He is also a paper reviewer of many professional journals such as Fuzzy Sets and Systems, International Journal of Approximate Reasoning, European Journal of Operational Research, Fuzzy Optimization and Decision Making, Information Sciences, and Knowledge-Based Systems, and he is an associate editor of Journal of Intelligent and Fuzzy Systems. His current research interests include management decisions in quantitative theory and method, the modern logistics and supply chain management, uncertain system theory and application.
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Meng, F., Zhang, Q. Generalized intuitionistic fuzzy hybrid Choquet averaging operators. J. Syst. Sci. Syst. Eng. 22, 112–122 (2013). https://doi.org/10.1007/s11518-013-5209-6
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DOI: https://doi.org/10.1007/s11518-013-5209-6