【摘要】 在模糊集上引入(N)模糊积分的概念,研究了这类积分的基本性质,并证明了模糊情形下的单调收敛定理和Fatou引理。最后,给出了两个模糊可测函数的(N)模糊积分相等的充要条件。更多还原

【Abstract】 The concept of the (N) fuzzy integral on a fuzzy set is introduced and some elementary properties of this type of fuzzy integral, Monotone Convergence Theorem and Fatou Lemma are proved. A necessary and sufficient condition on which the (N) fuzzy integrals of two fuzzy measurable functions on fuzzy sets are always equal is given.更多还原