A Novel Linguistic Decision Making Method Based on the Voting Model for Large-Scale Linguistic Decision making

Abstract

\n The notable characteristic of large-scale linguistic decision making problems is that there are so many decision makers provide linguistic assessments according to fuzzy linguistic representation models. In real world applications, fuzzy linguistic terms mean different things for different people, it means that linguistic assessments based on linguistic representation models may be simultaneous in the same large-scale linguistic decision making problems. To this end, a novel linguistic decision making method based on the voting model is proposed in the paper, which can be utilized to deal with large-scale linguistic decision making problems with linguistic assessments based on multi linguistic representation models. In large-scale linguistic decision process, evaluation-based voting is defined and multi linguistic decision matrix is designed to represent multi linguistic assessments provided by many decision makers according to linguistic representation models, properties of the decision matrix are analysed to show that linguistic assessments based on linguistic representation models can be simultaneously represented. Based on multi linguistic decision matrix, a new linguistic decision making framework is developed to deal with large-scale linguistic decision making problems with multi linguistic assessments, in which normalization of multi linguistic decision matrix and trust degrees of linguistic terms are contained, more important, based on trust degrees of linguistic terms and 2-tuple fuzzy linguistic aggregation operators, an uniform fusion method of multi linguistic assessments is proposed to aggregate multi linguistic assessments of large-scale linguistic decision making problems. Finally, user experiences of shared bikes, which is a large-scale linguistic decision making problem in real-world applications, is employed to show the new decision making framework and the uniform fusion method of multi linguistic assessments, furthermore comparison with existing linguistic decision making methods are analyzed in the example, it seems that multi linguistic decision matrix and the uniform fusion method are useful and effective tools to deal with large-scale linguistic decision making problems with multi linguistic assessments.