Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders
Author
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2009, Issue 2009 (31 Dec. 2009), pp.1-16, 16 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2009-07-28
Country of Publication
Egypt
No. of Pages
16
Main Subjects
Abstract EN
The present paper investigates the relations between fuzzifying topologies and generalized ideals of fuzzy subsets, as well as constructing generalized ideals and fuzzifying topologies by means of fuzzy preorders.
Furthermore, a construction of generalized ideals from preideals, and vice versa, is obtained.
As a particular consequence of the results in this paper, a construction of fuzzifying topology generated by generalized ideals of fuzzy subsets via a given I-topology is given.
The notion of σ-generalized ideal is introduced and hence every σ-generalized ideal is shown to be a fuzzifying topology induced by some fuzzy preorder.
American Psychological Association (APA)
Elsalamony, G.. 2009. Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders. International Journal of Mathematics and Mathematical Sciences،Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-481320
Modern Language Association (MLA)
Elsalamony, G.. Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders. International Journal of Mathematics and Mathematical Sciences No. 2009 (2009), pp.1-16.
https://search.emarefa.net/detail/BIM-481320
American Medical Association (AMA)
Elsalamony, G.. Connecting Fuzzifying Topologies and Generalized Ideals by Means of Fuzzy Preorders. International Journal of Mathematics and Mathematical Sciences. 2009. Vol. 2009, no. 2009, pp.1-16.
https://search.emarefa.net/detail/BIM-481320
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-481320