模糊测度空间 fuzzy measure space
- 摘要本论文建构在模糊区间,模糊数和模糊区间的卡氏积上的扩张模糊测度并推导出模糊测度空间。
In this article we construct extended fuzzy measure on fuzzy intervals, fuzzy numbers and cartesian product of fuzzy intervals and derive fuzzy measure space. - 摘要指出了模糊集立论中的不足及模糊集“取大取小”运算的局限性,在测度空间中定义规范模糊集概念、运算,讨论了规范模糊集的性质。
This paper points out the shortcomings of fuzzy set on argument and the limits of its operation on "choose big or small", defines the concept and operations of the normal fuzzy sets in the measure space and discusses the properties of it. - 文摘:用连续真值逻辑上的语义的方法建立了模糊化σ-代数和模糊化可测空间,并在其上建立了模糊化测度,较好地推广了经典测度理论的相关结果.
Abstract: A new so-called fuzzifying measurable theory which generalizes the classical measurable theory is established after defining the fuzzifying σ-algebra theory and adopting the Semantic method of Comtinuous-Valued Logic.
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