Fuzzy Ideals of Sheffer Stroke Hilbert Algebras

In this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T -fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the co...

Full description

Saved in:
Bibliographic Details
Published inNational Academy of Sciences, India. Proceedings. Section A. Physical Sciences Vol. 93; no. 1; pp. 85 - 94
Main Authors Oner, Tahsin, Katican, Tugce, Borumand Saeid, Arsham
Format Journal Article Conference Proceeding
LanguageEnglish
Published New Delhi Springer India 01.03.2023
Springer Nature B.V
Subjects
Algebra
Applied and Technical Physics
Atomic
Fuzzy sets
Homomorphisms
Molecular
Optical and Plasma Physics
Physics
Physics and Astronomy
Quantum Physics
Scientific Research Paper
fuzzy ideal
(
T-conorm
06F05
03G25
Sheffer stroke Hilbert algebra
fuzzy subalgebra
03G10
Online AccessGet full text

Cover

More Information
Summary:In this study, fuzzy subalgebras and ideals with t-conorms on Sheffer stroke Hilbert algebras are discussed. We state and prove relationships between the level-set of a fuzzy subalgebra with a t-conorm T (briefly, T -fuzzy subalgebra) and a subalgebra of a Sheffer stroke Hilbert algebra. Then the composition of T -fuzzy subalgebras and homomorphisms of Sheffer stroke Hilbert algebras are analyzed. By defining fuzzy subalgebras of Sheffer stroke Hilbert algebras, the relationships between fuzzy subalgebras and T -fuzzy subalgebras of this algebraic structure are investigated. Also, it is shown that every fuzzy ideal with t-conorm T (in short, T -fuzzy ideal) is a T -fuzzy subalgebra but the converse does not generally hold. As in T -fuzzy subalgebras of Sheffer stroke Hilbert algebras, some properties of the T -fuzzy ideals are proved.
ISSN:0369-8203
2250-1762
DOI:10.1007/s40010-022-00794-9