广义拟Sugeno模糊积分的确界式等价表示

Equivalent representations of generalized quasi-Sugeno fuzzy integral in supremum forms.

通过减弱公理化条件给出新拟乘算子,并按照拟乘运算针对实函数正(负)部建立了广义拟Sugeno模糊积分.依据演化的确界概念获得了该积分的3种表达形式,并给出了其等价表示及其证明.最后,通过实例验证了该广义拟Sugeno模糊积分3种等价表示的正确性.

A new quasi-multiplication operator is given by weakening the axiomatic conditions, and the generalized quasi Sugeno fuzzy integrals with respect to positive and negative parts of a real function is established by the quasi- multiplication operation. In addition, the three kinds of expressions of the fuzzy integral are obtained based on con- cept of the evolutive supremum, and the equivalences and its proofs are given in theory. Finally, the correctness of the three kinds of expressions of the generalized quasi-Sugeno fuzzy integral are verified by an example.