Consistent Linguistic Fuzzy Preference Relation with Multi-Granular Uncertain Linguistic Information for Solving Decision Making Problems

摘要

Multi-granular information in decision making is an approach used to cater heterogeneity in the evaluation process which normally presented using linguistic form. Sometimes the decision maker may use non homogeneous scales in the evaluation. This will increase the complexity in computation. This paper proposes a hybrid decision making model that combines the multi-granular uncertain linguistic information and consistent linguistic preference relations (CLFPR) to cater this problem. The proposed method able to evaluate the alternatives or criteria based on the different opinions with different scales using a minimum number of pairwise comparisons. The method uses several interval representations of linguistic judgment as its multi-granular representation to give decision makers flexibility in the evaluation. The evaluation will be aggregated into CLFPR values and before obtaining the final result. An illustrative example will be given to show the effectiveness of the proposed method.