基于包含度的犹豫模糊属性约简

RESEARCH ON HESITANT FUZZY MULTI-ATTRIBUTE REDUCTION BASED ON INCLUSION DEGREE

将模糊集的包含度拓展到犹豫模糊集中,针对属性值为犹豫模糊元的决策问题,提出了一种犹豫模糊信息系统的属性约简方法。首先,给出了犹豫模糊包含度的公理化定义和不同形式的计算公式;然后,计算决策条件选择,得到条件属性重新组合后的犹豫模糊信息系统,再计算组合的条件属性在决策中的包含度,得到相应的决策规则;最后通过逐项删减条件属性,得到最大决策约简集,并通过实例表明了该方法的有效性和可行性。

We expand the inclusion degree of fuzzy set to the hesitant fuzzy set and develop a series of studies focus on the inclusion degree of hesitant fuzzy set. Firstly, the axiomatic definition and some calculation formulas are given. Secondly, the hesitant fuzzy information system is obtained after the recombination of condition attributes by computing the decision condition choice. Furthermore, the hesitant fuzzy inclusion degree is calculated and the corresponding decision rule is derived. Finally, the maximum decision reduction set is obtained by deleting condition attributes term by term. The practical example has shown that the effectiveness and feasibility of the proposed approach is given.