The L-fuzzy hypermodules

Abstract

L-fuzzy hyperoperation L-fuzzy hyperring L-fuzzy R-hypermodule L-fuzzy α-regular relation L-fuzzy hypermodule (strong) homomorphism a b s t r a c tIn this paper, we introduce the concept of L-fuzzy hypermodules over an L-fuzzy hyperring and investigate some of their properties. We provide the notion of L-fuzzy R-subhypermodules of an L-fuzzy R-hypermodule and derive a kind of L-fuzzy quotient hypermodule by using an L-fuzzy R-subhypermodule. We also study the properties of Lfuzzy α-regular relation on L-fuzzy R-hypermodules and investigate L-fuzzy hypermodule (strong) homomorphism.