Journal ArticleDOI
Variation on a Poincaré theorem
Beloslav Riečan,Beloslav Riečan +1 more
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TLDR
Variations of the Poincare recurrence theorem in a probability space states that for any A∈S and any measure preserving map T:Ω→Ω almost every point of A returns to A infinitely many times.About:
This article is published in Fuzzy Sets and Systems.The article was published on 2013-12-01. It has received 5 citations till now. The article focuses on the topics: Mean value theorem & Brouwer fixed-point theorem.read more
Citations
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Journal ArticleDOI
Poincaré Recurrence Theorem in impulsive systems
Boyang Ding,Changming Ding +1 more
TL;DR: In this paper, the Poincare recurrence theorem was generalized to impulsive dynamical systems and two recurrence theorems were proved for measure-preserving deterministic systems.
Journal ArticleDOI
On invariant IF -state
TL;DR: The Haar measure on invariants state for fuzzy sets is constructed in a locally compact space and the invariant state is studied on MV-algebra generated by a family of intuitionistic fuzzy sets.
Journal ArticleDOI
Prof. RNDr. Beloslav Riečan, DrSc., Dr.h.c. *NOV. 10, 1936 – †AUG. 13, 2018
Book ChapterDOI
A Geometric Approach to MV-Algebras
TL;DR: A new geometry arises, where the affine group over the integers takes on the same role as the isometry group does in euclidean space, and a wealth of new geometric computable invariants emerges in this new category of rational polyhedra with rational PL-maps.
Book ChapterDOI
On Partially Ordered Product Spaces
Považan Jaroslav,Riečan Beloslav +1 more
TL;DR: In this article, a general system for continous effect algebras is presented, including some known important structures, such as continous effects, as well as a generalization of the classical Poincare theorem from ergodic theory.
References
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Journal ArticleDOI
Effect algebras and unsharp quantum logics
David J. Foulis,M. K. Bennett +1 more
TL;DR: In this article, it was shown that there is a universal group for every effect algebra, as well as a universal vector space over an arbitrary field, which is the prototypical example of the effect algebras discussed in this paper.
Journal ArticleDOI
Interpretation of AF C∗-algebras in Łukasiewicz sentential calculus
TL;DR: In this paper, a non-simplicite critere pour la nonsimplicity d'une AF Cα-algebre #7B-U en termes de proprietes de la theorie de la recursivite du groupe dimension K 0 (#7B -U) was presented.
Book
Advanced Łukasiewicz calculus and MV-algebras
TL;DR: This book discusses the construction of free products of MV-algebras, the spectral and the maximal spectral space, and a first-order Lukasiewicz logic with [0, 1]-identity.
Book
Integral, Measure, and Ordering
Beloslav Riečan,Tibor Neubrunn +1 more
TL;DR: The Kurzweil Integral in Ordered Spaces and the Entropy of Fuzzy Dynamical Systems, and Measurability and Integrability of Multifunctions.
Book ChapterDOI
Probability on MV algebras
Beloslav Riečan,Tibor Neubrunn +1 more
TL;DR: In this paper, a generalization of the model expounded in the previous chapter is presented. But the model is restricted to the family of all measurable functions f: (Ω, ℒ) → [0, 1] with two binary operations (denote them by ⊕ and ⊙), a unary operation * and two fixed elements 0 Ω, 1Ω where ==================>>\s.
Related Papers (5)
Calculus on a non-Archimedean field extension of the real numbers: inverse function theorem, intermediate value theorem and mean value theorem
Gidon Bookatz,Khodr Shamseddine +1 more