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Multiple Attribute Group Decision-Making Methods Based on Trapezoidal Fuzzy Two-Dimensional Linguistic Partitioned
Kedong Yin1,2, Benshuo Yang3, Xuemei Li4,5
1School of Economics, Ocean University of China, Qingdao 266100, China. yinkedong@ouc.edu.cn.
This study introduces new methods for multiple attribute group decision making (MAGDM) using trapezoidal fuzzy two-dimensional linguistic variables. New aggregation operators improve decision accuracy by considering attribute interrelationships.
Area of Science:
- Decision Sciences
- Fuzzy Logic Systems
- Computational Intelligence
Background:
- Multiple Attribute Group Decision Making (MAGDM) involves complex evaluations.
- Existing methods may not fully capture interrelationships between attributes.
- Fuzzy linguistic variables offer a framework for uncertain information.
Purpose of the Study:
- To introduce trapezoidal fuzzy two-dimensional linguistic variables and their properties.
- To develop novel aggregation operators, specifically the Partitioned Bonferroni Mean (PBM) operator, for this linguistic environment.
- To propose a new method for MAGDM problems utilizing these operators.
Main Methods:
- Definition and operational laws for trapezoidal fuzzy two-dimensional linguistic information.
- Analysis and adaptation of the Partition Bonferroni Mean (PBM) operator.
- Development of the trapezoidal fuzzy two-dimensional linguistic partitioned Bonferroni mean (TF2DLPBM) and weighted (TF2DLWPBM) aggregation operators.
- Formulation of a MAGDM method based on the TF2DLWPBM operator.
Main Results:
- Introduction of novel TF2DLPBM and TF2DLWPBM aggregation operators.
- Development of an effective MAGDM method using the TF2DLWPBM operator.
- Demonstration of the method's effectiveness through a practical example and parameter analysis.
Conclusions:
- The proposed TF2DLWPBM operator and MAGDM method effectively handle trapezoidal fuzzy two-dimensional linguistic information.
- The approach enhances decision accuracy by accounting for attribute interrelationships.
- The study provides a valuable tool for complex decision-making scenarios involving uncertain linguistic data.
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