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On Some Extension of Intuitionistic Fuzzy Synthetic Measures for Two Reference Points and Entropy Weights
Ewa Roszkowska1, Bartłomiej Jefmański2, Marta Kusterka-Jefmańska3
1Faculty of Computer Science, Bialystok University of Technology, Wiejska 45A, 15-351 Bialystok, Poland.
Entropy (Basel, Switzerland)
|August 26, 2022
Summary
A new Double Intuitionistic Fuzzy Synthetic Measure (DIFSM) ranks alternatives using intuitionistic fuzzy sets (IFSs) to handle uncertainty and decision-maker hesitation. This method, inspired by Hellwig
Area of Science:
- Decision Sciences
- Fuzzy Logic Systems
- Operations Research
Background:
- Intuitionistic Fuzzy Sets (IFSs) model uncertainty, imprecision, and decision-maker hesitation.
- IFSs represent degrees of membership, non-membership, and hesitancy for alternatives.
- Handling multi-criteria decision-making (MCDM) with uncertain information is challenging.
Purpose of the Study:
- Introduce a novel Double Intuitionistic Fuzzy Synthetic Measure (DIFSM) for ranking alternatives.
- Develop a robust MCDM method incorporating intuitionistic fuzzy values.
- Address limitations in existing methods for handling hesitant decision-making.
Main Methods:
- The DIFSM algorithm aggregates intuitionistic fuzzy values based on ideal and anti-ideal reference points.
- It measures distances between alternatives, ideal, and anti-ideal patterns.
- Entropy-based weights are incorporated to determine criteria importance.
Main Results:
- The proposed DIFSM effectively ranks alternatives in multi-criteria decision-making problems.
- An illustrative example demonstrates the practicality and effectiveness of the DIFSM approach.
- Comparative analysis shows DIFSM's performance against Intuitionistic Fuzzy TOPSIS.
Conclusions:
- DIFSM provides a powerful tool for MCDM under uncertainty and hesitation.
- The method enhances decision-making by considering multiple facets of fuzzy information.
- DIFSM offers a valuable alternative for complex decision problems.
Keywords:
anti-ideal pointentropy weightsfuzzy multi-criteria decision makingfuzzy synthetic measureideal-pointintuitionistic fuzzy setsMore Related Videos
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