Shadowing L-Algebras

Authors

  • Mohamad Ebrahimi
  • Arsham Boroomand Saeid

Abstract

In this article, several types of subalgebras of an L-algebra ”L” are introduced.
One of these subalgebras is fuzzy impotent subalgebra. After that, by using the
concept of a t-norm ”T”, the definition of a fuzzy impotent subalgebra with respect
to T is presented. The notion of soft impotent subalgebra, which is an extension
of the notion of soft sets, is introduced and several examples and propositions are
investigated during the article. Random set, falling shadow of a random set are
defined and then falling fuzzy subalgebra and falling impotent subalgebra are introduced and some relations between them are investigated.

Published

2026-08-08

Issue

Vol. 20

Section

Vol. 20, No. 5, (2026)

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