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Fuzzy Set Theory Applied on Autometrized Algebra
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This paper introduces fuzzy subalgebras of autometrized algebras and studies their properties. Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings. We examine the homomorphisms of both the images and the inverse images of fuzzy subalgebras and ideals. Furthermore, we introduce fuzzy congruences on autometrized algebras. We prove that in normal autometrized algebra, the set of all fuzzy ideals is in one-to-one correspondence with the set of all fuzzy congruences.
Title: Fuzzy Set Theory Applied on Autometrized Algebra
Description:
This paper introduces fuzzy subalgebras of autometrized algebras and studies their properties.
Also, we present fuzzy ideals of autometrized algebras and provide examples to illustrate our findings.
We examine the homomorphisms of both the images and the inverse images of fuzzy subalgebras and ideals.
Furthermore, we introduce fuzzy congruences on autometrized algebras.
We prove that in normal autometrized algebra, the set of all fuzzy ideals is in one-to-one correspondence with the set of all fuzzy congruences.
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