Fuzzy Filter Spectrum of a BCK Algebra
Joint Authors
Hua, Xiu Juan
Ji, Wei
Xin, Xiao Long
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-01-24
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
The notion of fuzzy s-prime filters of a bounded BCK-algebra is introduced.
We discuss the relation between fuzzy s-prime filters and fuzzy prime filters.
By the fuzzy s-prime filters of a bounded commutative BCK-algebra X, we establish a fuzzy topological structure on X.
We prove that the set of all fuzzy s-prime filters of a bounded commutative BCK-algebra forms a topological space.
Moreover, we show that the set of all fuzzy s-prime filters of a bounded implicative BCK-algebra is a Hausdorff space.
American Psychological Association (APA)
Xin, Xiao Long& Ji, Wei& Hua, Xiu Juan. 2011. Fuzzy Filter Spectrum of a BCK Algebra. International Journal of Mathematics and Mathematical Sciences،Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-498813
Modern Language Association (MLA)
Xin, Xiao Long…[et al.]. Fuzzy Filter Spectrum of a BCK Algebra. International Journal of Mathematics and Mathematical Sciences No. 2011 (2011), pp.1-13.
https://search.emarefa.net/detail/BIM-498813
American Medical Association (AMA)
Xin, Xiao Long& Ji, Wei& Hua, Xiu Juan. Fuzzy Filter Spectrum of a BCK Algebra. International Journal of Mathematics and Mathematical Sciences. 2011. Vol. 2011, no. 2011, pp.1-13.
https://search.emarefa.net/detail/BIM-498813
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-498813
