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A New Group Decision-Making Technique under Picture Fuzzy Soft Expert Information
Fairouz Tchier1, Ghous Ali2, Muhammad Gulzar3
1Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia.
Entropy (Basel, Switzerland)
|September 28, 2021
Summary
This study introduces picture fuzzy soft expert sets, a novel hybrid model for group decision-making under uncertainty. It enhances existing methods by incorporating refusal degrees for more robust analysis.
Area of Science:
- Fuzzy Set Theory
- Decision Sciences
- Artificial Intelligence
Background:
- Intuitionistic fuzzy sets handle acceptance and rejection degrees.
- Picture fuzzy sets extend this by including a refusal degree.
- Group decision-making often involves uncertainty and complex preferences.
Purpose of the Study:
- To propose a novel hybrid model: picture fuzzy soft expert sets.
- To generalize existing intuitionistic fuzzy soft expert sets.
- To address uncertainties in real-world group decision-making problems.
Main Methods:
- Combining picture fuzzy sets with soft expert sets.
- Investigating properties like subset, equality, complement, union, and intersection.
- Studying AND and OR operations for the developed model.
- Presenting a decision-making method with an algorithmic format.
Main Results:
- The proposed picture fuzzy soft expert sets model is a generalized form of intuitionistic fuzzy soft expert sets.
- Novel properties and operations for the hybrid model were investigated and demonstrated with examples.
- An algorithmic decision-making method was developed and applied.
Conclusions:
- The picture fuzzy soft expert sets model effectively handles uncertainty in group decision-making.
- The proposed method provides a more generalized and robust approach compared to existing models.
- The illustrative application demonstrates the practical utility of the model in selecting virtual reality devices.
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