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Fuzzy Optimization and Decision Making

Published in:

01-06-2015

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

Authors: Chunqiao Tan, Zhong-Zhong Jiang, Xiaohong Chen, W. H. Ip

Published in: Fuzzy Optimization and Decision Making | Issue 2/2015

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Abstract

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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Title: Atanassov’s intuitionistic fuzzy Quasi-Choquet geometric operators and their applications to multicriteria decision making
Authors: Chunqiao Tan
Zhong-Zhong Jiang
Xiaohong Chen
W. H. Ip
Publication date: 01-06-2015
Publisher: Springer US
Published in: Fuzzy Optimization and Decision Making / Issue 2/2015
Print ISSN: 1568-4539
Electronic ISSN: 1573-2908
DOI: https://doi.org/10.1007/s10700-014-9196-y

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