Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

On Continuity and Boundedness of Fuzzy Syntopogenous Spaces

Authors
Zhiwen Mo1, Chang Shu
1College of Mathematics and Software Science,Sichuan Normal University
Corresponding Author
Zhiwen Mo
Available Online October 2007.
DOI
10.2991/iske.2007.222How to use a DOI?
Keywords
Fuzzy topology,Algebra,Order,Continuity,Boundedness
Abstract

In this paper,we combine fuzzy topological structures with algebraic structures on X,and investigate their corresponding structures and properties.In the section 3,the relationship between fuzzy topological structure and increasing(decreasing)fuzzy syntopogenous structure is studied.In the section 4 the definition of continuity of a preordered L-fuzzy syntopogenous spaceand an example are given.In the section 5 the equivalent depictions of continuity are researched.In the section 6 the boundedness and its properties are discussed.

Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
10.2991/iske.2007.222How to use a DOI?
Copyright
© 2007, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Zhiwen Mo
AU  - Chang Shu
PY  - 2007/10
DA  - 2007/10
TI  - On Continuity and Boundedness of Fuzzy Syntopogenous Spaces
BT  - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
PB  - Atlantis Press
SP  - 1303
EP  - 1309
SN  - 1951-6851
UR  - https://doi.org/10.2991/iske.2007.222
DO  - 10.2991/iske.2007.222
ID  - Mo2007/10
ER  -