Fuzzy Optimization and Decision Making

, Volume 14, Issue 2, pp 139–172 | Cite as

Atanassov’s intuitionistic fuzzy Quasi-Choquet geometric operators and their applications to multicriteria decision making

  • Chunqiao Tan
  • Zhong-Zhong Jiang
  • Xiaohong Chen
  • W. H. Ip


In this paper, by combining the Archimedean t-conorm and t-norm and Quasi-Choquet averaging operator, we develop an extended Atanassov’s intuitionistic fuzzy Quasi-Choquet geometric operator to aggregate input arguments that are Atanassov’s intuitionistic fuzzy values, where the inter-dependent or interactive characteristics among input arguments are taken into account. Some of the desirable properties and some special cases are investigated in detail. It is worth pointing out that most of the existing Atanassov’s intuitionistic fuzzy geometric aggregation operators are special cases of this proposed aggregation operator. Furthermore, a decision procedure based on the proposed aggregation operator is developed for solving the multicriteria decision making problem in which all decision information is represented by Atanassov’s intuitionistic fuzzy values. An illustrative example is given for demonstrating the applicability of the proposed decision procedure.


Multicriteria decision making Aggregation operator Atanassov’s intuitionistic fuzzy set Achimedean t-norm and t-conorm Choquet integral 



This work is supported by the Funds for Creative Research Groups of China (No. 71221061), the state key program of NSFC (No. 71431006), the National Natural Science Foundation of China (Nos. 71271217, 71371190, 70801012 and 71001018), the Program for New Century Excellent Talents in University of China (No. NCET-12-0541) and the Fundamental Research Funds for the Central Universities (No. N130506001). Our gratitude is also extended to the Research Committee and the Department of Industrial and Systems Engineering of the Hong Kong Polytechnic University for support in this project (G-UB97).


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Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  • Chunqiao Tan
    • 1
  • Zhong-Zhong Jiang
    • 2
  • Xiaohong Chen
    • 1
  • W. H. Ip
    • 3
  1. 1.School of BusinessCentral South UniversityChangshaChina
  2. 2.Department of Information Manangement and Decision Sciences, School of Business AdministrationNortheastern UniversityShenyangChina
  3. 3.Department of Industrial and Systems EngineeringThe Hong Kong Polytechnic UniversityHong HumHong Kong

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