Title :
On fuzzy and interval-valued fuzzy subhyperlattice
Author :
Feng, Yuming ; Zou, Lim In ; Zhou, Xingjian ; Gao, Juan
Author_Institution :
Coll. of Math. & Comput. Sci., Chongqing Three Gorges Univ., Chongqing, China
Abstract :
We introduced the notions of fuzzy subhyperlattice and fuzzy ideal, listed equivalent conditions of fuzzy subhyperlattice and fuzzy ideal, concluded that the two different definitions of fuzzy ideal are equivalent, proved that the Cartesian product of two fuzzy subhyperlattices is a fuzzy subhyperlattice too and gave an example to show that the product of two fuzzy ideals may not be a fuzzy ideal. Then we generalized our results to interval-valued fuzzy version.
Keywords :
fuzzy set theory; Cartesian product; fuzzy ideal; interval valued fuzzy subhyperlattice; Chemical engineering; Computer science; Computer science education; Educational institutions; Educational technology; Fuzzy sets; Cartesian product; fuzzy subhyperlattice; ideal; intervalvalued;
Conference_Titel :
Education Technology and Computer (ICETC), 2010 2nd International Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-6367-1
DOI :
10.1109/ICETC.2010.5529781
