TOPICS ON FUZZY TOPOLOGICAL ORDERED SPACES
Kamal EI-Saady lbrahiem;
Abstract
The study of the topological ordered spaces was initiated by Nachbin in [Van Nostrand Inc. New York (19653 In [J. Math. Anal. Appl. 84(1981),44-58] Katsaras combined the concepts of an order
and a fuzzy topology. In I El-Saady,K. M.Sc. Thesis, Assiut University 1990] the author extended Katsaras's works on the above relationship.
In this thesis we are interested in introducing the idea of order in the area of fuzzy structures such as fuzzy topological vector spaces, fuzzy neighborhood spaces, fuzzy uniform spaces, fuzzy proximity spaces and fuzzy syntopogenous spaces. Also, we generalize many results which in these concepts came true. Thus Chapters I, II and III contain, respectively, the resulting concepts of the fuzzy topological ordered vector spaces, fuzzy neighborhood ordered spaces and fuzzy uniform ordered spaces.
and a fuzzy topology. In I El-Saady,K. M.Sc. Thesis, Assiut University 1990] the author extended Katsaras's works on the above relationship.
In this thesis we are interested in introducing the idea of order in the area of fuzzy structures such as fuzzy topological vector spaces, fuzzy neighborhood spaces, fuzzy uniform spaces, fuzzy proximity spaces and fuzzy syntopogenous spaces. Also, we generalize many results which in these concepts came true. Thus Chapters I, II and III contain, respectively, the resulting concepts of the fuzzy topological ordered vector spaces, fuzzy neighborhood ordered spaces and fuzzy uniform ordered spaces.
Other data
| Title | TOPICS ON FUZZY TOPOLOGICAL ORDERED SPACES | Other Titles | موضوعات فى الفراغات المترتبة فازية التوبولوجى | Authors | Kamal EI-Saady lbrahiem | Issue Date | 1994 |
Attached Files
| File | Size | Format | |
|---|---|---|---|
| B16689.pdf | 1.22 MB | Adobe PDF | View/Open |
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