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A Decision-Making Approach Based on Score Matrix for Pythagorean Fuzzy Soft Set.
Imran Siddique1, Rana Muhammad Zulqarnain2, Rifaqat Ali3
1Department of Mathematics, School of Science, University of Management and Technology, Lahore 54770, Pakistan.
Computational Intelligence and Neuroscience
|November 8, 2021
Summary
This study introduces Pythagorean fuzzy soft sets (PFSS), an advanced decision-making tool offering more precise information than intuitionistic fuzzy soft sets (IFSS). The research develops new operations and a technique for PFSS, proving its effectiveness through examples and comparisons.
Area of Science:
- Decision Sciences
- Fuzzy Set Theory
- Computational Intelligence
Background:
- Pythagorean fuzzy soft sets (PFSS) extend Pythagorean fuzzy sets (PFS) for decision-making with parametrized alternatives.
- PFSS offer enhanced precision compared to intuitionistic fuzzy soft sets (IFSS).
Purpose of the Study:
- To develop novel algebraic operations (OR, AND, necessity, possibility) for PFSS.
- To establish fundamental properties of PFSS using these new operations.
- To propose a PFSS-based decision-making technique using a score matrix.
Main Methods:
- Construction of algebraic operations for PFSS.
- Derivation and verification of fundamental PFSS properties.
- Development of a score matrix-based decision-making algorithm.
Main Results:
- New algebraic operations and properties for PFSS were successfully established.
- A novel decision-making technique utilizing PFSS was developed and validated.
- The proposed PFSS approach demonstrated superior effectiveness and information delivery compared to existing methods.
Conclusions:
- The developed algebraic operations and decision-making technique enhance the utility of PFSS.
- PFSS provide a more precise and effective framework for complex decision-making problems.
- The proposed method offers practical advantages over current decision-making approaches.
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