Abstract

In this study, multi-fuzzy soft ideals (filters) are introduced over the lattice-ordered multi-fuzzy soft set ([Formula: see text]) and their results are shown. The ideas of lattice-ordered multi-fuzzy soft homomorphism ([Formula: see text]) between two [Formula: see text]s are then introduced, along with those of lattice-ordered multi-fuzzy soft isotone map [Formula: see text], lattice-ordered multi-fuzzy soft isomorphism ([Formula: see text]), and kernel of [Formula: see text]. We also look at the principal ideal and soft prime ideal of [Formula: see text].

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