Fuzzy proximity ordered spaces

In 1976 Singal and Lal extended the study of nearness between sets to the Nachbin's [1965] topological and order structures. Also, in 1978 Dimitrijević developed such an idea, in the same manner, with more study of its properties. The aim of this paper is to introduce the idea of order in a fuz...

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Bibliographic Details
Published in:Fuzzy sets and systems 1999-06, Vol.104 (2), p.341-350
Main Authors: Bakier, M.Y., El-Saady, K.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Fuzzy proximity ordered set
Fuzzy quasi-proximity
Fuzzy topological ordered spaces
General topology
Mathematical logic, foundations, set theory
Mathematics
Sciences and techniques of general use
Set theory
Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Summary:In 1976 Singal and Lal extended the study of nearness between sets to the Nachbin's [1965] topological and order structures. Also, in 1978 Dimitrijević developed such an idea, in the same manner, with more study of its properties. The aim of this paper is to introduce the idea of order in a fuzzy proximity space (Katsaras, 1979, 1980, 1980) and construct new spaces in the area of fuzzy topological and order structures, the so-called fuzzy proximity ordered spaces. Also, we study some properties of these spaces.
ISSN:0165-0114
1872-6801
DOI:10.1016/S0165-0114(97)00200-5