International Journal of Engineering, Science and Mathematics
  • Year: 2021
  • Volume: 10
  • Issue: 10

Pythagorean picture fuzzy set: Its intuitive meaning and derived distance

  • Author:
  • Chunyongwang1, Xiaoqiangzhou2
  • Total Page Count: 18
  • Page Number: 40 to 57

1College of Education and Music, Hezhou University, Hezhou, Guangxi, 542899, P.R. China

2School of Mathmatics, Hunan Institute of Science and Technology, Yueyang, 414006, China

Online published on 15 September, 2023.

Abstract

In this paper, we set voting as an example and give an intuitive explanation for the Pythagorean picture fuzzy Set (PPFS). We also construct a natural distance measure from PPFS's intuitive meaning. By measuring the distance from any Pythagorean picture fuzzy numbers (PPFNs) to the ideal PPFNs, we can rank PPFNs in descending order. Then, we develop a new multiple attribute decision-making method under Pythagorean picture environment. Finally, an illustrative example is given to demonstrate the practicality and effectiveness of our new method.

Keywords

Pythagorean picture fuzzy set, Pythagorean picture fuzzy number, Distance measure, Multiple attribute decision-making