Title :
Pseudo-hoops and non-commutative fuzzy structures
Author :
Yang, Yong-bao ; Zhang, Xiao-Hong
Author_Institution :
Coll. of Math. & Inf. Sci., Northwest Normal Univ., Lanzhou
Abstract :
As a generalization of non-commutative fuzzy logic algebras - pseudo-BL algebra, the notion of pseudo-hoop was introduced by G.Georgescu, L.Leustean and V.Preoteasa. In this paper, the filter theory of pseudo-hoop is further investigated. The prime filter theorem of basic pseudo-hoop is proved. Moreover, the notion of well basic pseudo-hoop is introduced, and its normal prime filter theorem is proved.
Keywords :
fuzzy logic; process algebra; fuzzy logic algebras; noncommutative fuzzy structures; normal prime filter; pseudo-BL algebra; pseudo-hoops fuzzy structures; Algebra; Commutation; Cybernetics; Educational institutions; Filtering theory; Filters; Fuzzy logic; Information science; Machine learning; Mathematics; Non-commutative fuzzy logic; Normal filter; Prime filter; Pseudo-hoop; Well basic pseudo-hoop;
Conference_Titel :
Machine Learning and Cybernetics, 2008 International Conference on
Conference_Location :
Kunming
Print_ISBN :
978-1-4244-2095-7
Electronic_ISBN :
978-1-4244-2096-4
DOI :
10.1109/ICMLC.2008.4620469
