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A Conflicting Bifuzzy Evaluation Approach in Multi-Criteria Decision Making

Zamali Tarmudi, Mohd Lazim Abdullah, Abu Osman Md Tap


and decision makers due to its ability to derive effectively a compromise solution in the decision process. The focus of this paper is to propose a conflicting bifuzzy evaluation in the overall decision process using linguistic expressions. The approach is based on the new theory sets, the so- called ‘conflicting bifuzzy sets’ (CBFS) which are an extension of Atanassov intuitionistic fuzzy sets (IFS). A definition of the CBFS is discussed and the approach employs a multi-criteria decision making (MCDM) hybrid model which is developed using a fuzzy analytic hierarchy process and fuzzy ideal solution. Through this proposed approach, the decision maker needs to evaluate all the qualitative criteria using totally linguistic expressions through both positive and negative aspects such as ‘very good’, ‘good’, ‘slightly poor’ etc.. The direct assigned was employed to derive the importance weight of the criteria and the best compromise options among the potential alternatives was measured by performance index. A hypothetical example of municipal solid waste (MSW) disposal alternatives was given to verify the feasibility of the proposed approach. Based on the calculations, the approach is comprehensive in concept, very flexible, suitable for various decision situations and very promising result to derive the holistic evaluation, particularly in complex MCDM problems.


Analytic hierarchy process (AHP), conflicting bifuzzy sets(CBFS), fuzzy ideal Solution (FIS), linguistic assessment, multi-criteria decision making (MCDM)

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