Affiliations: [a] School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning, China
| [b] Department of Basic Science, Dalian Naval Academy, Dalian, Liaoning, China
Correspondence:
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Corresponding author. Hongxing Li, School of Control Science and Engineering, Dalian University of Technology, Dalian, Liaoning 116024, China. Tel.: +86 0411 84706404; Fax: +86 0411 84706405; E-mail: lihx@dlut.edu.cn.
Abstract: A method of approximating intuitionistic fuzzy numbers by trapezoidal intuitionistic fuzzy numbers with respect to a well-known metric is studied in this paper. Firstly, the representations of extended trapezoidal intuitionistic approximations of intuitionistic fuzzy numbers are discussed. Then the representations of trapezoidal intuitionistic and triangular intuitionistic approximations of intuitionistic fuzzy numbers are provided. Finally, the algorithms and examples of trapezoidal intuitionistic and triangular intuitionistic approximations are given, and the results of approximations are applied on ranking of intuitionistic fuzzy numbers.
