DocumentCode
441905
Title
Quotient R/sub 0/-algebra via a fuzzy MP-filter
Author
Zhang, Xiao-Hong ; Liu, Yong-lin
Author_Institution
Fac. of Sci., Ningbo Univ., China
Volume
5
fYear
2005
fDate
18-21 Aug. 2005
Firstpage
2663
Abstract
A quotient R 0-algebra via a fuzzy MP-filter is constructed. The fuzzy homomorphism fundamental theorem is given. Moreover, for a fuzzy MP-filter μ of a R 0-algebra M, the following results are proved (1) μ is prime if and only if M/μ is chain, (2) μ is Boolean if and only if M/μ is Boolean algebra. Finally, the notion of fuzzy ultra MP-filter is introduced and some sufficient and necessary conditions are given.
Keywords
Boolean algebra; fuzzy logic; fuzzy set theory; Boolean algebra; fuzzy homomorphism fundamental theorem; fuzzy logic; fuzzy ultra MP-filter; quotient algebra; Boolean algebra; Calculus; Computer science; Educational institutions; Filters; Fuzzy logic; Fuzzy systems; Lattices; Machine learning; Mathematics; Fuzzy Logic; Fuzzy MP-filter; Fuzzy ultra MP-filter; Quotient R; R;
fLanguage
English
Publisher
ieee
Conference_Titel
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location
Guangzhou, China
Print_ISBN
0-7803-9091-1
Type
conf
DOI
10.1109/ICMLC.2005.1527394
Filename
1527394
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