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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
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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.

Keywords:
algorithmgroup decision makingpicture fuzzy setsoft expert setvirtual reality

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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.