Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras

Makaleler > Tam Makale · 2025

Yazarlar: Neelamegarajan Rajesh, Tahsin ÖNER, Aiyared Iampan, Akbar Rezaei

European Journal of Pure and Applied Mathematics, ESCI İndekslerine Giren Dergi, Uluslararası, Scopus, 2025, cilt 18, ss 5914-5914

DOI: 10.29020/nybg.ejpam.v18i2.5914

Özet

The aim of this paper is to introduce the notions of the length and the mean of an interval-valued fuzzy structure in Sheffer stroke Hilbert algebras. The notions of length-fuzzy subalgebras and mean-fuzzy subalgebras of Sheffer stroke Hilbert algebras are introduced, and related properties are investigated. Characterizations of length-fuzzy subalgebras and mean-fuzzy subalgebras are discussed. Relations between length-fuzzy subalgebras (resp., mean-fuzzy subalgebras) and subalgebras are established. Moreover, we discuss the relationships among length-fuzzy subalgebras (resp., mean-fuzzy subalgebras) and upper and lower-level subsets of the length (resp., mean) of an interval-valued fuzzy structure in Sheffer stroke Hilbert algebras.

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