2015/01/16 by Niovi Kehayopulu, Kehayopulu, Niovi
Computer Science · Decision Sciences · Mathematics · #Fuzzy Logic and Control Systems #Fuzzy and Soft Set Theory #math.GM #msc:06F05 #msc:06F99 #msc:08A72 #msc:20N99
paper · pdf · doi:10.48550/arxiv.1501.03955
arxiv created 2015/01/16 · arxiv updated 2015/01/19
We characterize the fuzzy left (resp. right) ideals, the fuzzy ideals and the fuzzy prime (resp. semiprime) ideals of an ordered Γ-groupoid M in terms of level subsets and we prove that the cartesian product of two fuzzy left (resp. right) ideals of M is a fuzzy left (resp. right) ideal of M× M, and the cartesian product of two fuzzy prime (resp. semiprime) ideals of M is a fuzzy prime (resp. semiprime) ideal of M× M. As a result, if μ and σ are fuzzy left (resp. right) ideals, ideals, fuzzy prime or fuzzy semiprime ideals of M, then the nonempty level subsets (μ×σ)t are so.