Results 11 to 20 of about 55 (42)

On Interval-Valued Intuitionistic Fuzzy Subalgebras of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
This paper explores the structure of interval-valued intuitionistic fuzzy (IVIF) subsets within the framework of Sheffer stroke Hilbert algebras (SSHAs). After establishing the foundational definitions of interval-valued intuitionistic fuzzy Sheffer stroke subalgebras (IVIFSS-subalgebras), we investigate their algebraic properties, closure under ...
Aiyared Iampan, Neelamegarajan Rajesh, Tahsin Oner, Firat Ates, Kannan Geetha, Arsham Borumand Saeid   +5 more
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On Length and Mean Fuzzy Ideals of Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
This paper presents a detailed exploration of Sheffer stroke Hilbert algebras, introducing the innovative concepts of length fuzzy ideals and mean fuzzy ideals within an interval-valued fuzzy framework. These new constructs extend classical ideal theory by incorporating fuzzy logic, providing precise mathematical tools to analyze and measure membership
Neelamegarajan Rajesh, Tahsin Oner, Aiyared Iampan, Ibrahim Senturk   +3 more
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Sheffer Stroke Hilbert Algebras in Connection with Crossing Cubic Structures

European Journal of Pure and Applied Mathematics
The idea of Sheffer stroke Hilbert algebra is studied from the perspective of the structure of the cubic structure. The filter and deductive system of the Sheffer stroke Hilbert algebra are defined and examined through the crossing cubic structure, which is an extension of the fuzziness of these substructures, verifying their many characteristics ...
Anas Al-Masarwah, Noor Bani Abd Al-Rahman, Mohammed Alqahtani, Majdoleen Abuqamar   +3 more
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Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras

European Journal of Pure and Applied Mathematics
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.
Neelamegarajan Rajesh, Tahsin Oner, Aiyared Iampan, Akbar Rezaei   +3 more
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Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures

European Journal of Pure and Applied Mathematics
In this study, we introduce the concepts of $\mathcal{N}$-ideals of types $(\in, \in)$ and $(\in, \in \vee \kq)$, along with soft $\mathcal{N}_\in$-sets, soft $\mathcal{N}_\kq$-sets, and soft $\mathcal{N}_{\in \vee \kq}$-sets. Additionally, we define soft $\mathcal{N}$-subalgebras and $\mathcal{N}$-ideals within the context of Sheffer stroke Hilbert ...
Tahsin Oner, Neelamegarajan Rajesh, Aiyared Iampan, Arsham Borumand Saeid   +3 more
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Intuitionistic Fuzzy Subalgebras of Several Types in Sheffer Stroke Hilbert Algebras

Journal of Basic & Applied Sciences
Characterizations of an (E, E)-intuitionistic fuzzy subalgebra and an (q(kT,KF), EV q(KT,KF))-intuitionistic fuzzy subalgebra are provided. Given special sets, so called intuitionistic fuzzy E-subsets, intuitionistic fuzzy q-subsets and intuitionistic fuzzy (q(kT,KF), EV q(KT,KF))-subsets, conditions for the intuitionistic fuzzy (q(kT,KF), EV q(KT,KF))-
Neelamegarajan Rajesh, Tahsin Oner, Ibrahim Senturk, Burak Ordin   +3 more
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Weak Filters of Sheffer Stroke Hilbert Algebras Based on Intuitionistic Fuzzy Set

European Journal of Pure and Applied Mathematics
Using the concept of intuitionistic fuzzy points,  the weak filter in Sheffer stroke Hilbert algebras is addressed. The notion of intuitionistic fuzzy weak filters in Sheffer stroke Hilbert algebras is introduced, and their properties are investigated.
Sun Shin Ahn, Young Joo Seo, Young Bae Jun   +2 more
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Characterizations of Products of IVIFSS-Subalgebras and Ideals in Sheffer Stroke Hilbert Algebras

Asia Pacific Journal of Mathematics
Tahsin Oner, Arsham Borumand Saeid, Aiyared Iampan, Kannan Geetha, Neelamegarajan Rajesh   +4 more
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Fuzzy Ideals of Sheffer Stroke Hilbert Algebras

Proceedings of the National Academy of Sciences India Section A - Physical Sciences, 2022
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.
Arsham Borumand Saeid, Tahsin Oner, Tuğçe Katican   +2 more
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Fuzzy filters of Sheffer stroke Hilbert algebras

Journal of Intelligent and Fuzzy Systems, 2021
The aim of this study is to introduce fuzzy filters of Sheffer stroke Hilbert algebra. After defining fuzzy filters of Sheffer stroke Hilbert algebra, it is shown that a quotient structure of this algebra is described by its fuzzy filter. In addition to this, the level filter of a Sheffer stroke Hilbert algebra is determined by its fuzzy filter.
Arsham Borumand Saeid, Tahsin Oner, Tuğçe Katican   +2 more
exaly   +4 more sources