期刊
APPLIED MATHEMATICAL MODELLING
卷 41, 期 -, 页码 691-693出版社
ELSEVIER SCIENCE INC
DOI: 10.1016/j.apm.2016.04.013
关键词
Soft sets; Interval type-2 fuzzy sets; Trapezoidal interval type-2 fuzzy soft sets; Operation; Multi attribute group decision making
资金
- Department of Science and Technology under Department of Electronics and Information Technology (DeitY)
Zhang and Zhang (2013) proposed the arithmetic operations of trapezoidal interval type-2 fuzzy numbers having different left and right heights and hence the arithmetic operations of trapezoidal interval type-2 fuzzy soft sets having different left and right heights. In this paper, it is pointed out that the complement operation of a trapezoidal interval type-2 fuzzy number, proposed by Zhang and Zhang, is not valid and hence, the complement operation of trapezoidal interval type-2 fuzzy soft set as well as all the results, proposed by Zhang and Zhang in which complement operation is used, are not valid. The results, proposed by Zhatig and Zhang, are valid only for such trapezoidal interval type-2 fuzzy numbers and trapezoidal interval type-2 fuzzy soft sets in which left and right heights are equal. (C) 2016 Elsevier Inc. All rights reserved.
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