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Interval-valued Pythagorean fuzzy multi-criteria decision-making method based on the set pair analysis theory and
Feng Li1, Jialiang Xie1, Mingwei Lin2
1School of Science, Jimei University, Xiamen, 361021 Fujian China.
Complex & Intelligent Systems
|June 22, 2022
Summary
This study introduces a new fuzzy multi-criteria decision-making method using improved connection numbers and Choquet integral for interval-valued Pythagorean fuzzy sets. It enhances ranking accuracy for complex decision problems.
Area of Science:
- Fuzzy mathematics
- Decision science
- Computational intelligence
Background:
- Multi-criteria decision-making (MCDM) is complex under uncertainty.
- Interval-valued Pythagorean fuzzy sets offer a robust framework for uncertainty.
- Existing MCDM methods struggle with ranking issues in these environments.
Purpose of the Study:
- To propose a novel fuzzy MCDM method for interval-valued Pythagorean fuzzy environments.
- To develop an improved score function for connection numbers.
- To address ranking difficulties in complex decision scenarios.
Main Methods:
- Utilizing set pair analysis theory to convert interval-valued Pythagorean fuzzy numbers to connection numbers.
- Proposing an improved score function for connection numbers to enhance ranking realism.
- Integrating the Choquet integral to account for criterion interactions.
- Applying the method to an online learning satisfaction survey.
Main Results:
- The proposed method effectively converts interval-valued Pythagorean fuzzy numbers.
- The improved score function provides more realistic rankings.
- The integrated approach handles criterion interactions effectively.
- Demonstrated simplicity, convenience, and ease of implementation through a case study.
Conclusions:
- The novel fuzzy MCDM method offers a new perspective for ranking alternatives.
- It successfully addresses limitations of previous approaches in interval-valued Pythagorean fuzzy environments.
- The method provides a practical tool for complex decision-making problems.
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