Lattice groups

Leonid A. Kurdachenko, Viktoriia S. Yashchuk, Igor Yakov Subbotin

Abstract


In this paper, we introduce some algebraic structure associated with groups and lattices. This structure is a semigroup and it appeared as the result of our new approach to the fuzzy groups and \(L\)-fuzzy groups where \(L\) is a lattice. This approach allows us to employ more convenient language of algebraic structures instead of currently accepted language of functions.

Keywords


group, lattice, distributive lattice, fuzzy group, semigroup

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