Results 11 to 20 of about 168 (90)

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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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
openaire   +3 more sources

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
openaire   +3 more sources

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
openaire   +3 more sources

AN APPROACH TO THE THEORETICAL FOUNDATIONS OF ELECTRONIC CIRCUIT DESIGN: SHEFFER STROKE HILBERT ALGEBRAS AND FUZZY SETS WITH THRESHOLDS

Journal of Modern Technology and Engineering
The Sheffer Stroke (also known as the NAND operator) is an important logical operator used in digital circuits based on the theory of fuzzy sets. The concept of fuzzy subalgebras (or fuzzy ideals) with thresholds in Sheffer Stroke Hilbert algebras is introduced.
Tahsin Öner
openaire   +2 more sources

FUZZY IMPLICATIVE IDEALS OF SHEFFER STROKE BG-ALGEBRAS [PDF]

, 2021
In this paper, Sheffer stroke BG-algebra is given. After determining a fuzzy ideal of Sheffer stroke BG-algebra, some properties are presented. Then a fuzzy implicative and a sub-implicative ideals of a Sheffer stroke BG-algebra are described.
Kalkan, Tugce, Katican, Tugce, Oner, Tahsin, Rezaei, Akbar   +3 more
core   +1 more source

On Sheffer Stroke Be-Algebras

Discussiones Mathematicae - General Algebra and Applications, 2022
In this paper we introduce Sheffer stroke BE-algebras (briefly, SBE-algebras) and investigate a relationship between SBE-algebras and BE-algebras. By presenting a SBE-filter, an upper set and a SBE-subalgebra on a SBE-algebra, it is shown that any SBE ...
Katican Tugce, Oner Tahsin, Saeid Arsham Borumand   +2 more
doaj   +1 more source

Why most papers on filters are really trivial (including this one) [PDF]

, 2023
The aim of this note is to show that many papers on various kinds of filters (and related concepts) in (subreducts of) residuated structures are in fact easy consequences of more general results that have been known for a long ...
Agliano', Paolo
core   +1 more source

Between philosophy and mathematics:General trends in dissemination, teaching, and research on mathematical logic in 1930s China [PDF]

, 2022
This article studies some central developments in the propagation and teaching of mathematical logic in 1930s China. Focusing on the emergence of a twofold disciplinary approach to mathematical logic, namely as a discipline studied and disseminated by ...
Vrhovski, Jan
core   +2 more sources

Peano on Symbolization, Design Principles for Notations, and the Dot Notation [PDF]

, 2021
Peano was one of the driving forces behind the development of the current mathematical formalism. In this paper, we study his particular approach to notational design and present some original features of his notations.
Schlimm, Dirk
core   +1 more source