A Hesitant Fuzzy Linguistic TODIM Method Based on a Score Function

Abstract

Hesitant fuzzy linguistic term sets (HFLTSs) are very useful for dealing with the situations in which the decision makers hesitate among several linguistic terms to assess an alternative. Some multi-criteria decision-making (MCDM) methods have been developed to deal with HFLTSs. These methods are derived under the assumption that the decision maker is completely rational and do not consider the decision maker's psychological behavior. But some studies about behavioral experiments have shown that the decision maker is bounded rational in decision processes and the behavior of the decision maker plays an important role in decision analysis. In this paper, we extend the classical TODIM (an acronym in Portuguese of interactive and multi-criteria decision-making) method to solve MCDM problems dealing with HFLTSs and considering the decision maker's psychological behavior. A novel score function to compare HFLTSs more effectively is defined. This function is also used in the proposed TODIM method. Finally, a decision-making problem that concerns the evaluation and ranking of several telecommunications service providers is used to illustrate the validity and applicability of the proposed method.

Managing Non-Homogeneous Information and Experts’ Psychological Behavior in Group Emergency Decision Making

“…In our proposal, we will use fuzzy TODIM method [16][17][18] based on prospect theory [14] because of its advantage and capability of capturing the experts' psychological behavior under fuzzy environment.…”

“…It has been widely applied to solve different decision problems [38,39]. To cope with complex problems and uncertain information in the real world, the TODIM method has been extended to deal with fuzzy MCDM problems [16,17].…”

“…3. To take into account experts' psychological behavior by means of the fuzzy TODIM method [16][17][18] based on prospect theory [14]. In the real world, it is common that experts with different background and knowledge might have different attitudes or opinions over different alternatives concerning different criteria.…”

“…To take into account experts' psychological behavior by means of the fuzzy TODIM method [16][17][18] based on prospect theory [14].…”

Correlation Coefficients of Extended Hesitant Fuzzy Sets and Their Applications to Decision Making

“…The comparison laws of fuzzy set theory [1,4,16,34] play an important role in decision making problems, and the score function and accuracy function of EHFEs are the basis of the main body of the next part.…”