期刊
MATHEMATICS
卷 7, 期 10, 页码 -出版社
MDPI
DOI: 10.3390/math7100999
关键词
picture fuzzy sets; multi-attribute decision-making; correlation-based closeness index; Pearson's correlation
类别
资金
- Major Humanities and Social Sciences Research Projects in Zhejiang Universities [2018QN058]
- National Natural Science Foundation of China [71671165, 71761027]
- China Postdoctoral Science Foundation [2018QN058]
- Zhejiang Province Science and Technology Plan Project [LGG18F020001, LGF19F020008]
- Ningbo Science and Technology Project [2019C50008]
As a generalization of several fuzzy tools, picture fuzzy sets (PFSs) hold a special ability to perfectly portray inherent uncertain and vague decision preferences. The intention of this paper is to present a Pearson's picture fuzzy correlation-based model for multi-attribute decision-making (MADM) analysis. To this end, we develop a new correlation coefficient for picture fuzzy sets, based on which a Pearson's picture fuzzy closeness index is introduced to simultaneously calculate the relative proximity to the positive ideal point and the relative distance from the negative ideal point. On the basis of the presented concepts, a Pearson's correlation-based model is further presented to address picture fuzzy MADM problems. Finally, an illustrative example is provided to examine the usefulness and feasibility of the proposed methodology.
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