Investigating Length and Mean-Fuzzy Subalgebras in Sheffer Stroke Hilbert Algebras
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 +3 more
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Boundary Algebra: A Simple Notation for Boolean Algebra and the Truth Functors [PDF]
Boundary algebra [BA] is a simpler notation for Spencer-Brown’s (1969) primary algebra [pa], the Boolean algebra 2, and the truth functors. The primary arithmetic [PA] consists of the atoms ‘()’ and the blank page, concatenation, and enclosure between ‘(‘
Philip Meguire
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Boundary Algebra: A Simpler Approach to Boolean Algebra and the Sentential Connectives [PDF]
Boundary algebra [BA] is a algebra of type , and a simplified notation for Spencer-Brown’s (1969) primary algebra. The syntax of the primary arithmetic [PA] consists of two atoms, () and the blank page, concatenation, and enclosure between ‘(‘ and ...
Philip Meguire
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The foundations of inference and its application to fundamental physics [PDF]
This thesis concerns the foundations of inference – probability theory,entropic inference, information geometry, etc. – and its application to the Entropic Dynamics (ED) approach to Quantum Mechanics (QM) [21, 22, 41, 53, 56–61, 150–153, 165, 195, 196 ...
Carrara, Nicholas Matthew
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On Length and Mean Fuzzy Ideals of Sheffer Stroke Hilbert Algebras
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 +3 more
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On Interval-Valued Intuitionistic Fuzzy Subalgebras of Sheffer Stroke Hilbert Algebras
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 +5 more
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Sets, Logic, Computation: An Open Introduction to Metalogic [PDF]
An introductory textbook on metalogic. It covers naive set theory, first-order logic, sequent calculus and natural deduction, the completeness, compactness, and Löwenheim-Skolem theorems, Turing machines, and the undecidability of the halting problem and
Zach, Richard
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Weak Filters of Sheffer Stroke Hilbert Algebras Based on Intuitionistic Fuzzy Set
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 +2 more
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Soft Subalgebras and Ideals of Sheffer Stroke Hilbert Algebras based on $\mathcal{N}$-Structures
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 +3 more
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Univocity of Intuitionistic and Classical Connectives [PDF]
In this paper, we show (among other things) that the conditional in Frege's Begriffsschrift is ...
Ertola-Biraben, Rodolfo C. +1 more
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