【摘要】：為更好的研究模糊微分方程,通過對(duì)零模糊數(shù)以及模糊數(shù)的序關(guān)系的重新定義,并在新模糊數(shù)偏序關(guān)系,利用一維模糊數(shù)的表示定理給出了模糊序列的極限和收斂性,繼而給出模糊數(shù)值函數(shù)收斂性和連續(xù)性以及相應(yīng)的不動(dòng)點(diǎn)定理.研究結(jié)果表明新的偏序意義下的模糊數(shù)的收斂性以及不動(dòng)點(diǎn)定理為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.
【作者單位】： 安陽學(xué)院建筑工程學(xué)院;安陽市第69中學(xué);
【基金】：河南省高等學(xué)校重點(diǎn)科研項(xiàng)目(15A110048)
【分類號(hào)】：O159;O175

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本文編號(hào)：2447048