2014•Mohu xitong yu shuxueRequires access

(∈,∈∨_(q(λ,μ)))-fuzzy LI-ideals of Lattice Implication Algebras

FU Xiao-b

Abstract

In this paper,we carry out a detailed investigation into the(∈,∈∨q(λ,μ))-fuzzy LI-ideals of the lattice implication algebra L.The main content involves the following several aspects:Firstly,the concepts of(∈,∈∨q(λ,μ))-fuzzy LI-ideals and generalized fuzzy LI-ideals are introduced,and the relationship between them is also discussed;Secondly,we present some equivalent descriptions and study the related properties of the(∈,∈∨q(λ,μ))-fuzzy LI-ideals;Finally,we discuss some properties of homomorphic image and homomorphic preimage of(∈,∈∨q(λ,μ))-fuzzy LI-ideals.

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Key concepts: Mathematics, Homomorphic encryption, Fuzzy logic, Lattice (music), Algebra over a field, Pure mathematics, Discrete mathematics, Computer science