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

• Main Authors: Yun Jin, Hecheng Wu, Dechao Sun, Shouzhen Zeng, Dandan Luo, Bo Peng
• Format: Article
• Language: English
• Published: MDPI AG 2019-10-01
• Series: Mathematics
• Subjects: picture fuzzy sets; multi-attribute decision-making; correlation-based closeness index; pearson’s correlation
• Online Access: https://www.mdpi.com/2227-7390/7/10/999

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.