【摘要】 利用δ-开集研究了LF上(下)δ-几乎半连续多值映射及其等价刻划,并对其性质进行了讨论.证明了若f,g都是上(下)δ-几乎半连续的,则f∨g也是上(下)δ-几乎半连续的;若f是下δ-几乎半连续的,则f也是下δ-几乎半连续的.从而推广了LF上(下)半连续多值映射的相关结论.更多还原

【Abstract】 The concepts of L-fuzzy lower and upper δ-nearly semicontinuous multifunction are introduced and their some equivalent conditions are investigated with δ-openning sets.It is proved that f∨g are lower and upper δ-nearly semicontinuous multifunction if f and g are lower and upper δ-nearly semicontinuous multifunction.If f is lower δ-nearly semicontinuous multifunction,then f is lower δ-nearly semicontinuous multifunction.The relative conclusion of L-fuzzy lower and upper semicontinuous multifunction are extended.更多还原