Connecting the Numerical Scale Model With Assessing Attitudes and its Application to Hesitant Fuzzy Linguistic Multi-attribute Decision Making
DOI:
https://doi.org/10.31181/jopi31202531Keywords:
Multiple attribute decision making, Numerical scale, Hesitant fuzzy linguistic term set, Assessing attitudes, WeightsAbstract
The aim of this paper is to provide a specific numerical scale model with the purpose of making transformations between linguistic terms and numerical values. The proposed method represents a wide range of existing numerical scale models and can quantitatively reflect the linguistic behaviors of DMs. The pessimistic-optimistic principle based supplementary regulation for hesitant fuzzy linguistic term set (HFLTS) may lead to the initial information distortion and losing. On the basis of the lowest common multiple principle in number theory, an improved supplementary regulation is proposed to reserve the fidelity of original information, the improved supplementary regulation brings a new conception for information measures of HFLTS as well. Then based on the traditional generalized distance and Hausdorff distance measures, some new distance measures for HFLTS are presented in the numerical scale framework. Furthermore, an extended TOPSIS method for hesitant fuzzy linguistic MADM is developed. Finally, a numerical example concerning the preference of movies is elaborated on the performance of our approach. Sensitive and comparative analysis are also provided and discussed to show the effectiveness and advantages of the proposed method.
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