A Multi-Attribute Pearson’s Picture Fuzzy Correlation-Based Decision-Making Method

Yun Jin, Hecheng Wu, Dechao Sun, Shouzhen Zeng, Dandan Luo and Bo Peng
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Yun Jin: College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Hecheng Wu: College of Economic and Management, Nanjing University of Aeronautics and Astronautics, Nanjing 211106, China
Dechao Sun: College of Big Data and Software Engineering, Zhejiang Wanli University, Ningbo 315100, China
Shouzhen Zeng: College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
Dandan Luo: School of Business, Ningbo University, Ningbo 315211, China
Bo Peng: School of Management, Nanchang University, Nanchang 330031, China

Mathematics, 2019, vol. 7, issue 10, 1-12

Abstract: 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.

Keywords: picture fuzzy sets; multi-attribute decision-making; correlation-based closeness index; Pearson’s correlation (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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