Some issues on intuitionistic fuzzy aggregation operators based on Archimedean t-conorm and t-norm

  • Authors:

  • Meimei Xia;Zeshui Xu;Bin Zhu

  • Affiliations:

  • School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China;School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China and Institute of Sciences, PLA University of Science and Technology, Nanjing, Jiangsu 210007, China;School of Economics and Management, Southeast University, Nanjing, Jiangsu 211189, China

  • Venue:
  • Knowledge-Based Systems
  • Year:
  • 2012

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Abstract

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.