Computer Science ›› 2018, Vol. 45 ›› Issue (2): 135-139.doi: 10.11896/j.issn.1002-137X.2018.02.024

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Study on Three-way Decisions Based on Intuitionistic Fuzzy Probability Distribution

XUE Zhan-ao, XIN Xian-wei, YUAN Yi-lin and LV Min-jie   

  • Online:2018-02-15 Published:2018-11-13

Abstract: The fusion of intuitionistic fuzzy sets theory and possibility theory is a hot spot for dealing with uncertain questions.This paper proposed a three-way decisions model based on the probability distribution of intuitionistic fuzzy probability measurement (IFPM).First of all,the intuitionistic fuzzy decision space and the possibility distribution of the space were defined,and the properties of them were proved.Then,the calculation method of possibility means value for domain object membership degree and the non-membership degree was given.Thirdly,by analyzing the relationship possibility mean value of domain object membership degree and the non-membership degree between decision threshold,its probability distribution was discussed.Thus the three-way decisions model based on the probability distribution to the possibility distribution of transformation relations was expanded.An IFPM decision-making risk calculation method was given.Finally,this paper provided the formulas and analyzed the dynamic decision process of the three-way decisions through analyzing the changing of IFPM under different domain elements,and validated the effectiveness of the model through examples.

Key words: Intuitionistic fuzzy decision space,Intuitionistic fuzzy possibility distribution,IFPM,Possibility mean-value,Three-way decisions

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