Method Based on Fuzzy Linguistic Judgement Matrix and Trapezoidal Fuzzy Induced Ordered Weighted Geometric (TFIOWG) Operator for Multi-Attribute Decision-Making Problems

In this paper, we present a fuzzy linguistic scale, which is characterized by trapezoidal fuzzy numbers, for the comparison between two alternatives, we introduce a possibility degree formula for comparing trapezoidal fuzzy numbers. We utilize the fuzzy linguistic scale to construct a linguistic preference matrix, and propose a trapezoidal fuzzy induced ordered weighted geometric (TFIOWG) operator to aggregate linguistic preference information. A method based on the fuzzy linguistic scale and TFIOWG operator for decision-making problems is presented. Finally, an illustrative example is given to verify the developed method and demonstrate its feasibility and practicality.