A Three-Dimensional Fuzzy Linguistic Evaluation Model
Sirin Suprasongsin*,**, Van-Nam Huynh*, and Pisal Yenradee**
*School of Knowledge Science, Japan Advanced Institute of Science and Technology
1-1 Asahidai, Nomi, Ishikawa 923-1292, Japan
**School of Manufacturing Systems and Mechanical Engineering, Sirindhorn International Institute of Technology, Thammasat University
99 Moo 18, Km. 41 on Paholyothin Highway Khlong Luang, Pathum Thani 12120, Thailand
A probabilistic linguistic-based model is an effective tool to express preferences with different weights for different linguistic terms. This paper aims at introducing a new model for determining criteria weights in group decision-making problems, which is based on the concept of probabilistic linguistic terms. Different linguistic weights of respondents are also incorporated into the proposed model. Fuzzy numbers are used to quantify the linguistic terms. Using this model, first, a new concept called three-dimensional fuzzy linguistic representation is proposed to serve as an extension of the existing models. Then, a normalization process, an aggregation process, and a defuzzifying process for three-dimensional fuzzy linguistic representation are investigated. Next, a model for determining criteria weights is formulated. A case study of a beverage product in Thailand is provided to demonstrate the applicability of the proposed model. Finally, the results are compared with the existing models.
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