| In this paper, properties of generalized complex fuzzy for fuzzy complex measure space. The following is our main work which consists of four chapters:In the first chapter, we narrate the development of the fixed point theory, the significance, the current research lever and the tendency of this topic home and abroad in the preface. And simply introduce why we choose the topic.The second chapter, In a fuzzy complex measure space, we give some convergence concepts for sequences of complex fuzzy valued functions, and show the relationships between these different convergence concepts. Meanwhile, Egoroff theorem, Riesz theorem, Lebesgue theorem are obtained in this paper.In the third chapter, Based on non-negative measurable function of generalized complex fuzzy integral definition for fuzzy complex measure space is given by Ma Shengquan, we obtain some equivalent forms. And on this basis, further discusses the general complex measurable functions of generalized complex fuzzy integral, gives some important properties and monotone convergence theorem.The forth chapter discusses several complex fuzzy integral equations, and necessary and sufficient conditions are obtained. |
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