Results 11 to 20 of about 2,008 (186)
De Morgan Functions and Free De Morgan Algebras
It is commonly known that the free Boolean algebra on n free generators is isomorphic to the Boolean algebra of Boolean functions of n variables. The free bounded distributive lattice on n free generators is isomorphic to the bounded lattice of monotone ...
Movsisyan Yu. M. +2 more
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Mutually Exclusive Nuances of Truth in Moisil Logic [PDF]
Moisil logic, having as algebraic counterpart Łukasiewicz-Moisil algebras, provides an alternative way to reason about vague information based on the following principle: a many-valued event is characterized by a family of Boolean events.
D. Diaconescu, I. Leuștean
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Regular and Boolean elements in hoops and constructing Boolean algebras using regular filters
We study hoops in order to give some new characterizations for regular and Boolean elements in hoops and we study the relationship between them. Specially, we prove that any bounded v-hoop is a Stone algebra if and only if MV -center set and Boolean ...
Aaly Kologani M. +2 more
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Further Complete Solutions to Four Open Problems on Filter of Logical Algebras
This paper focuses on the investigation of filters of pseudo BCK-algebra and BL-algebra, important and popular generic commutative and non-commutative logical algebras.
Wei Wang, Pengxi Yang, Yang Xu
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The Boolean algebra of spectra
A K Bousfield
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AbstractStudies of various algebraic structures which can be defined over a Boolean algebra by means of Boolean operations have been made by Bernstein [1, 2], Cunkle [3], Elliott [4], Frink [6, 7], Grätzer [8], Grätzer and Schmidt [9], Rudeanu [10, 11], Vaidyanathaswamy [12], Wiener [13], and others.
C. H. Cunkle, Sergiu Rudeanu
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Let \(\kappa\) be the cofinality of \(2^{\aleph_ 0}\). There exists a Boolean algebra B of cardinality \(\kappa\) with the property that every subset of B of size \(\kappa\) contains two elements a and b such that ...
Robert Bonnet, Saharon Shelah
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Class of Sheffer stroke BCK-algebras
In this paper, Sheffer stroke BCK-algebra is defined and its features are investigated. It is indicated that the axioms of a Sheffer stroke BCK-algebra are independent.
Oner Tahsin +2 more
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Interpolative Boolean Networks
Boolean networks are used for modeling and analysis of complex systems of interacting entities. Classical Boolean networks are binary and they are relevant for modeling systems with complex switch-like causal interactions.
Vladimir Dobrić +4 more
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Logic-based aggregation methods for ranking student applicants [PDF]
In this paper, we present logic-based aggregation models used for ranking student applicants and we compare them with a number of existing aggregation methods, each more complex than the previous one.
Milošević Pavle +4 more
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