Research On Multi-attribute Decision Making Methods With Interval-value Dual Hesitant Fuzzy Information

In many decision-making problems,the traditional fuzzy decision-making tools are unable to meet the requirements of complex situations due to the limitations of people's cognitive abilities and the diversity of decision-making environments.As an extension of the classical fuzzy sets,the interval-valued dual hesitant fuzzy sets and its extension form can not only reflect the decision-maker's hesitations and fuzziness,but also give consideration to the decision-maker's multidimensional preference,effectively enrich the fuzzy decision theory and improve the decision accuracy in complex scenarios.Based on the interval-valued dual hesitation fuzzy theory,this paper explores several multi-attribute decision-making methods based on interval-valued dual hesitation fuzzy information and its expanded form.The specific contents and main innovations are summarized as follows:(1)A multi-attribute decision making method based on the interval-valued dual hesitant fuzzy sets and improved DEMATEL is researched.A new score function and an exact function of interval-valued dual hesitant fuzzy number are defined,and the corresponding comparison rules are given.By introducing the decision preference coefficient to DEMATEL,a method for obtaining the attribute weight based on the degree of centrality and the degree of causation is proposed.At the same time,in order to avoid the subjective influence of the decision-maker's behavior preference on the distance measure,the measure of generalized interval-valued dual hesitant fuzzy distance is redefined.Finally,the effectiveness of the method is verified by a specific case.(2)A multi-attribute decision making method based on the probabilistic intervalvalued dual hesitant fuzzy linguistic sets is researched.On the basis of interval-valued dual hesitant fuzzy sets,the decision advantages of probabilistic linguistic sets and probabilistic fuzzy sets are integrated,the concept of probabilistic interval-valued dual hesitant fuzzy linguistic sets is defined,the corresponding algorithm is given,and its related properties are researched.Secondly,the shortcomings of the existing fuzzy linguistic variables comparison methods are analyzed in this paper,and an improved method for comparing linguistic variables is proposed.The generalized Shapely value is used to extend the Choquet integral to the probabilistic interval-valued dual hesitant fuzzy integration operator,which provides an effective method to deal with the multi-attribute decision making problem with large scale and multi-index fuzzy preference information,and the factor relation is not completely independent.(3)A multi-attribute group decision making method based on interval-valued triangular dual hesitant fuzzy number is researched.Firstly,This chapter points out the disadvantages of applying triangle fuzzy information to multi-attribute decision making,and gives the corresponding analysis basis.Then,based on the concept of triangular intuitionistic fuzzy number and interval-valued dual hesitant fuzzy number,the concept of interval-valued triangular dual hesitant fuzzy number is proposed,and the corresponding algorithm is given.Secondly,the properties of two kinds of average Heronian operators are researched,and it's applied to the aggregation of interval-valued triangular dual hesitant fuzzy information.Finally,the decision method based on the fuzzy number is introduced,and the rationality and wide applicability of the proposed method are further verified through the selection of factory machine tools.Finally,the work of this paper is summarized,and the content that can be further researched or improved in the future are prospected.