Interval-Valued General Residuated Lattice-Ordered Groupoids and Expanded Triangle Algebras
As an extension of interval-valued pseudo t-norms, interval-valued pseudo-overlap functions (IPOFs) play a vital role in solving interval-valued multi-attribute decision making problems.
Xiaohong Zhang, Rong Liang
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A Semi-lattice of Four-valued Literal-paraconsistent-paracomplete Logics
In this paper, we consider the class of four-valued literal-paraconsistent-paracomplete logics constructed by combination of isomorphs of classical logic CPC. These logics form a 10-element upper semi-lattice with respect to the functional embeddinig one
Natalya Tomova
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Gautama and Almost Gautama Algebras and their associated logics [PDF]
Recently, Gautama algebras were defined and investigated as a common generalization of the variety $\mathbb{RDBLS}\rm t$ of regular double Stone algebras and the variety $\mathbb{RKLS}\rm t$ of regular Kleene Stone algebras, both of which are, in ...
Juan M. Cornejo +1 more
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HH∗−intuitionistic heyting valued Ω-algebra and homomorphism [PDF]
Intuitionistic Logic was introduced by L. E. J. Brouwer in[1] and Heyting algebra was defined by A. Heyting to formalize the Brouwer’s intuitionistic logic[4]. The concept of Heyting algebra has been accepted as the basis for intuitionistic propositional
Sinem Tarsuslu(Yılmaz) +1 more
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On Neutrosophic Vague Binary BZMZ^dM Sub-algebra of BZMZ^dM-algebra in Neutrosophic Vague Binary Sets [PDF]
In Model theory, common algebraic structures found are Lattices and Boolean Algebras. In the broad field of research, various algebraic structures can be introduced for a set. BCK, BCI, BCH, BH etc. are some of them.
P. B. Remya, A. Francina Shalini
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Chinese Research on Mathematical Logic and the Foundations of Mathematics
This paper outlines the Chinese research on mathematical logic and the foundations of mathematics. Firstly, it presents the introduction and spread of mathematical logic in China, especially the teaching and translation of mathematical logic initiated ...
Hongguang Wang, Guoping Du
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A Comparison between Lattice-Valued Propositional Logic LP(X) and Gradational Lattice-Valued Propositional Logic Lvpl [PDF]
In order to provide a logical foundation for uncertain information processing theory, especially for the fuzziness, the incomparability uncertain information in the reasoning, Xu presented the lattice implication algebra by combining lattice and implication algebra in 1993 [1].
Xiqing Long +3 more
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A Real-Valued Modal Logic [PDF]
A many-valued modal logic is introduced that combines the usual Kripke frame semantics of the modal logic K with connectives interpreted locally at worlds by lattice and group operations over the real numbers.
Denisa Diaconescu +2 more
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Skolemization and Herbrand theorems for lattice-valued logics [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Cintula, Petr +2 more
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Turing machines based on unsharp quantum logic [PDF]
In this paper, we consider Turing machines based on unsharp quantum logic. For a lattice-ordered quantum multiple-valued (MV) algebra E, we introduce E-valued non-deterministic Turing machines (ENTMs) and E-valued deterministic Turing machines (EDTMs ...
Yun Shang, Xian Lu, Ruqian Lu
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