Soft Lattice Implication Algebras

Applying the soft set theory to lattice implication algebras, the notion of soft lattice implication algebras is introduced, and characterization for an ∈ -soft set and q-soft set to be a soft lattice implication algebra is investigated. At same time, using the ( ∈ , ∈ ∨ q)-fuzzy lattice implication subalgebra, some characterizations for an ∈ -soft set and q-soft set to be a soft lattice implication algebra is established.

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