期刊
INFORMATICA
卷 32, 期 3, 页码 543-564出版社
INST MATHEMATICS & INFORMATICS
DOI: 10.15388/21-INFOR452
关键词
picture fuzzy sets; similarity measure; multi-attribute decision making
资金
- National Natural Science Foundation of China [61773019, 11871210]
- Scientific Research and Innovation Team of Qinghai National-ities University
Picture fuzzy sets, as an extension of intuitionistic fuzzy sets, are able to handle vague, uncertain, incomplete and inconsistent information. This study proposes a similarity measure between picture fuzzy sets based on relationship matrix, which satisfies the axiomatic definition of similarity measure. Numerical experiments demonstrate the effectiveness of the new similarity measure, which is then applied to multiple-attribute decision making.
As an extension of intuitionistic fuzzy sets, picture fuzzy sets can deal with vague, uncertain, incomplete and inconsistent information. The similarity measure is an important technique to distinguish two objects. In this study, a similarity measure between picture fuzzy sets based on relationship matrix is proposed. The new similarity measure satisfies the axiomatic definition of similarity measure. It can be testified from a numerical experiment that the new similarity measure is more effective. Finally, we apply the proposed similarity measure to multiple-attribute decision making.
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