Journal
FUZZY OPTIMIZATION AND DECISION MAKING
Volume 14, Issue 2, Pages 139-172Publisher
SPRINGER
DOI: 10.1007/s10700-014-9196-y
Keywords
Multicriteria decision making; Aggregation operator; Atanassov's intuitionistic fuzzy set; Achimedean t-norm and t-conorm; Choquet integral
Funding
- Funds for Creative Research Groups of China [71221061]
- NSFC [71431006]
- National Natural Science Foundation of China [71271217, 71371190, 70801012, 71001018]
- Program for New Century Excellent Talents in University of China [NCET-12-0541]
- Fundamental Research Funds for the Central Universities [N130506001]
- Research Committee of the Hong Kong Polytechnic University [G-UB97]
- Department of Industrial and Systems Engineering of the Hong Kong Polytechnic University [G-UB97]
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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.
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