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
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;
Conference_Titel :
Machine Learning and Cybernetics, 2005. Proceedings of 2005 International Conference on
Conference_Location :
Guangzhou, China
Print_ISBN :
0-7803-9091-1
DOI :
10.1109/ICMLC.2005.1527394
