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Generalized join-hemimorphisms on Boolean algebras [PDF]
International Journal of Mathematics and Mathematical Sciences, 2003 We introduce the notions of generalized join-hemimorphism and generalized Boolean relation as an extension of the notions of join-hemimorphism and Boolean relation, respectively. We prove a duality between these two notions.
Sergio Celani
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Lattices of (Generalized) Fuzzy Ideals in Double Boolean Algebras [PDF]
Transactions on Fuzzy Sets and Systems, 2023 This paper develops the notion of fuzzy ideal and generalized fuzzy ideal on double Boolean algebra (dBa). According to Rudolf Wille, a double Boolean algebra $\underline{D}:=(D, \sqcap, \sqcup, \neg, \lrcorner, \bot, \top)$ is an algebra
Fernand Kuiebove Pefireko
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A Novel Approach to Generalized Intuitionistic Fuzzy Sets Based on Interpolative Boolean Algebra
Mathematics, 2021 One of the main issues in IFS theory are generalizations of intuitionistic fuzzy set (IFS) definition as well as IFS operations. In this paper, we present the LBIFS-IBA approach by applying operations based on interpolative Boolean algebra (IBA) on ...
Pavle Milošević +2 more
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Natural partial order on rings with involution
AKCE International Journal of Graphs and Combinatorics, 2019 In this paper, we introduce a partial order on rings with involution, which is a generalization of the partial order on the set of projections in a Rickart ∗-ring.
Avinash Patil, B.N. Waphare
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On the Consistent Effect Histories Approach to Quantum Mechanics [PDF]
, 1996 A formulation of the consistent histories approach to quantum mechanics in terms of generalized observables (POV measures) and effect operators is provided. The usual notion of `history' is generalized to the notion of `effect history'.
Gisin N. +3 more
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Wreath Product Action on Generalized Boolean Algebras [PDF]
The Electronic Journal of Combinatorics, 2015 Let $G$ be a finite group acting on the finite set $X$ such that the corresponding (complex) permutation representation is multiplicity free. There is a natural rank and order preserving action of the wreath product $G\sim S_n$ on the generalized Boolean algebra $B_X(n)$. We explicitly block diagonalize the commutant of this action.
MISHRA, A, SRINIVASAN, MK
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Quantum information as a non-Kolmogorovian generalization of Shannon's theory [PDF]
, 2015 In this article we discuss the formal structure of a generalized information theory based on the extension of the probability calculus of Kolmogorov to a (possibly) non-commutative setting.
Bellomo, G., Bosyk, G. M., Holik, F.
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The Center Of A Generalized Effect Algebra
Demonstratio Mathematica, 2014 In this article, we study the center of a generalized effect algebra (GEA), relate it to the exocenter, and in case the GEA is centrally orthocomplete (a COGEA), relate it to the exocentral cover system. Our main results are that the center of a COGEA is
Foulis D. J., Pulmannová S.
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Orthomodular generalizations of homogeneous Boolean algebras [PDF]
Journal of the Australian Mathematical Society, 1973 It is well known that the so-called reduced Borel algebra, that is, the Boolean algebra of all Borel subsets of the unit interval modulo the meager Borel sets of this interval, can be abstractly characterized as a complete, totally non-atomic Boolean algebra containing a countable join dense subset. (For an indication of the history of this result, see,
Randall, C. H. +2 more
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Interpolative Boolean Networks
Complexity, 2017 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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