Fuzzy ideals, fuzzy local function and the notion of compatibility of fuzzy ideals with fuzzy topologies were introduced and studied by D. Sarker (Fuzzy Sets and Systems 87 (1997) 117). The purpose of this paper deals with new sort of fuzzy local function namely fuzzy alpha -local function. Many of its characterizations, properties and connections between it and other corresponding fuzzy notions are studied. Also we introduce and study two types of fuzzy compatibility namely fuzzy a-compatibility and fuzzy weak a-compatibility of fuzzy topologies via Fuzzy ideals. Possible application to superstrings and E-(infinity) space-time are touched upon. (C) 2001 Elsevier Science Ltd. All rights reserved. [References: 8]
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机译：D. Sarker引入并研究了模糊理想，模糊局部函数以及模糊理想与模糊拓扑的相容性概念（Fuzzy Sets and Systems 87（1997）117）。本文的目的是处理新型的模糊局部函数，即模糊α局部函数。研究了它的许多特征，性质以及与其他相应模糊概念之间的联系。我们还通过模糊理想介绍和研究了模糊拓扑的两种类型的模糊相容性，即模糊α相容性和模糊弱α相容性。涉及到超弦和E-（无限）时空的可能应用。 （C）2001 Elsevier ScienceLtd。保留所有权利。 [参考：8]
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