新偏序关系下的单调模糊映射的不动点定理
发布时间：2019-03-25 14:16
【摘要】：为更好的研究模糊微分方程,通过对零模糊数以及模糊数的序关系的重新定义,并在新模糊数偏序关系,利用一维模糊数的表示定理给出了模糊序列的极限和收敛性,继而给出模糊数值函数收敛性和连续性以及相应的不动点定理.研究结果表明新的偏序意义下的模糊数的收敛性以及不动点定理为模糊微分方程的解存在性提高更多的方便.
[Abstract]:In order to better study the fuzzy differential equation, the limit and the convergence of the fuzzy sequence are given by the re-definition of the order relation of the zero fuzzy number and the fuzzy number, and in the new fuzzy number partial order relation, the limit and the convergence of the fuzzy sequence are given by means of the representation theorem of one-dimensional fuzzy number. In turn, the convergence and continuity of the fuzzy numerical function and the corresponding fixed point theorem are given. The results show that the convergence of the fuzzy number and the fixed point theorem of the new partial order are more convenient for the existence of the solution of the fuzzy differential equation.
【作者单位】： 安阳学院建筑工程学院;安阳市第69中学;
【基金】：河南省高等学校重点科研项目(15A110048)
【分类号】：O159;O175
[Abstract]:In order to better study the fuzzy differential equation, the limit and the convergence of the fuzzy sequence are given by the re-definition of the order relation of the zero fuzzy number and the fuzzy number, and in the new fuzzy number partial order relation, the limit and the convergence of the fuzzy sequence are given by means of the representation theorem of one-dimensional fuzzy number. In turn, the convergence and continuity of the fuzzy numerical function and the corresponding fixed point theorem are given. The results show that the convergence of the fuzzy number and the fixed point theorem of the new partial order are more convenient for the existence of the solution of the fuzzy differential equation.
【作者单位】： 安阳学院建筑工程学院;安阳市第69中学;
【基金】：河南省高等学校重点科研项目(15A110048)
【分类号】：O159;O175
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