H([lambda])-completely Hausdorff axiom on L-topological spaces
نویسنده
چکیده
This paper de1nes the new concept of completely Hausdor& axiom of an L-topological space by means of L-continuous mappings from an L-topological space to the re1ned Hutton’s unit L-interval by Wang. Some characterizations of the completely Hausdor& axiom, de1ned in this paper, are given, and many nice properties of this kind of completely Hausdor& axiom are proved. For example, it is hereditary and product invariant; the re1ned Hutton’s unit L-interval satisfy this kind of completely Hausdor& axiom, and when an L-topological space satisfy this kind of completely Hausdor& axiom, every f-convergent ideal does not have f-limit points with di&erent supports etc. The relation between the completely Hausdor& axiom de1ned in the paper and other separation axioms is discussed also. c © 2003 Elsevier B.V. All rights reserved.
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ورودعنوان ژورنال:
- Fuzzy Sets and Systems
دوره 140 شماره
صفحات -
تاریخ انتشار 2003