Journal
INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS
Volume 33, Issue 6, Pages 1165-1179Publisher
WILEY
DOI: 10.1002/int.21974
Keywords
triangular intuitionistic fuzzy numbers; t-norms; t-norm-based cuts; multiple attribute decision making
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Funding
- Hunan Provincial Innovation Foundation For Postgraduate [CX2017B171]
- National Natural Science Foundation of China [71473081]
- Science and Technology Project of Jiangxi Provincial Educational Department of China [GJJ151602]
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Triangular intuitionistic fuzzy numbers (TIFNs) is one of the useful tools to manage the fuzziness and vagueness in expressing decision data and solving decision making problems. In this paper, triangular norm (t-norm) based cuts of TIFNs are developed to synthesize the membership and nonmembership functions in describing the cut sets, then the possibility characteristics of TIFNs, i.e., the possibility mean, the possibility variance, and the possibility mean-standard deviation ratio, are given. Thereby, on the ground of the possibility mean-standard deviation ratio, a ranking method of TIFNs is introduced. With these elements, an approach to multiple attributes decision making (MADM) is proposed and illustrated by a numerical example. It is shown that the approach to MADM comprehensively considers both the membership and nonmembership functions and can lead to objective and reasonable results.
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