Journal
KNOWLEDGE-BASED SYSTEMS
Volume 31, Issue -, Pages 78-88Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.knosys.2012.02.004
Keywords
Multi-criteria decision making; Archimedean t-conorm; Archimeclean t-norm; Intuitionistic fuzzy set; Aggregation operator
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Funding
- National Natural Science Foundation of China [71071161]
- National Science Fund for Distinguished Young Scholars of China [70625005]
- Ministry of Education Foundation of Humanities and Social Sciences [10YJC630269]
- Pre-Research Foundation of PLA University of Science and Technology [20110511]
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Archimedean t-conorm and t-norm are generalizations of a lot of other t-conorms and t-norms, such as Algebraic, Einstein, Hamacher and Frank t-conorms and t-norms or others, and some of them have been applied to intuitionistic fuzzy set, which contains three functions: the membership function, the non-membership function and the hesitancy function describing uncertainty and fuzziness more objectively. Recently, Beliakov et al. [3] constructed some operations about intuitionistic fuzzy sets based on Archimedean t-conorm and t-norm, from which an aggregation principle is proposed for intuitionistic fuzzy information. In this paper, we propose some other operations on intuitionistic fuzzy sets, study their properties and relationships, and based on which, we study the properties of the aggregation principle proposed by Beliakov et al. (3), and give some specific intuitionistic fuzzy aggregation operators, which can be considered as the extensions of the known ones. In the end, we develop an approach for multi-criteria decision making under intuitionistic fuzzy environment, and illustrate an example to show the behavior of the proposed operators. (C) 2012 Elsevier B.V. All rights reserved.
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