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Group decision support system based on multi-granular fractional orthotriple fuzzy 2-tuple linguistic information
Muhammad Qiyas1, Muhammad Naeem2, Neelam Khan3
1Department of Mathematics, Riphah International University, Faisalabad Campus, Pakistan.
Heliyon
|December 13, 2024
Summary
This study introduces a new decision support model for complex group decisions using multi-granular fractional orthotriple fuzzy 2-tuple linguistic (FOF2TL) information. The model enhances decision-making accuracy by integrating fuzzy sets and linguistic methods for better data consistency and expert weighting.
Area of Science:
- Decision Sciences
- Fuzzy Logic Systems
- Computational Intelligence
Background:
- Multi-criteria group decision making (MCGDM) presents challenges with complex, uncertain information.
- Existing models struggle with multi-granular and fuzzy linguistic data.
- There is a need for robust decision support systems that handle heterogeneous information.
Purpose of the Study:
- To propose a novel decision support model for MCGDM problems.
- To handle multi-granular fractional orthotriple fuzzy 2-tuple linguistic (FOF2TL) information.
- To develop a framework for consistent and accurate group decision-making.
Main Methods:
- Integration of fractional orthotriple fuzzy sets and 2-tuple linguistic methods.
- Definition of a transformation function for multi-granular FOF2TL information consistency.
- Utilization of Archimedean copula and co-copula for operational laws.
- Development of fractional orthotriple fuzzy 2-tuple linguistic Banzhaf Choquet-Copula aggregation (FOF2TLBCCA) operators.
- Methodology for determining fuzzy measures of expert and attribute sets.
Main Results:
- A novel FOF2TL model is introduced, enhancing data handling capabilities.
- New operational laws and aggregation operators (FOF2TLBCCA) are defined.
- A method for calculating expert and attribute importance is established.
- The proposed model demonstrates improved decision-making outcomes in a numerical case study.
Conclusions:
- The developed decision support model effectively addresses complex MCGDM problems with FOF2TL information.
- The proposed methodology offers a valuable tool for enhancing group decision-making accuracy and reliability.
- The FOF2TLBCCA operators provide a flexible and powerful approach for aggregating uncertain linguistic information.
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