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Probablistic convergence spaces and regularity [PDF]
International Journal of Mathematics and Mathematical Sciences, 1997 The usual definition of regularity for convergence spaces can be characterized by a diagonal axiom R due to Cook and Fischer. The generalization of R to the realm of probabilistic convergence spaces depends on a t-norm T, and the resulting axiom RT ...
P. Brock, D. C. Kent
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Probabilistic convergence spaces and generalized metric spaces [PDF]
International Journal of Mathematics and Mathematical Sciences, 1998 The category PPRS(Δ), whose objects are probabilistic pretopological spaces which satisfy an axiom (Δ) and whose morphisms are continuous mappings, is introduced.
Paul Brock
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Statistical convergence in probabilistic generalized metric spaces w.r.t. strong topology [PDF]
Journal of Inequalities and Applications, 2021 In this paper, the concept of probabilistic g-metric space with degree l, which is a generalization of probabilistic G-metric space, is introduced. Then, by endowing strong topology, the definition of l-dimensional asymptotic density of a subset A of N l
Rasoul Abazari
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Minimization of weight in truss structures under probabilistic constrains [PDF]
مجله مدل سازی در مهندسی, 2021 The main purpose of the reliability theory of structural systems is the optimal design based on the reliability concept. Trusses and space structures are widely used, and cost and safety both are important in these structures.
Mohammad Reza Mostakhdemin Hosseini
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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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Quantale-valued Cauchy tower spaces and completeness
Applied General Topology, 2021 Generalizing the concept of a probabilistic Cauchy space, we introduce quantale-valued Cauchy tower spaces. These spaces encompass quantale-valued metric spaces, quantale-valued uniform (convergence) tower spaces and quantale-valued convergence tower ...
Gunther Jäger, T. M. G. Ahsanullah
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Probabilistic approach spaces [PDF]
Mathematica Bohemica, 2017 We study a probabilistic generalization of Lowen's approach spaces. Such a probabilistic approach space is defined in terms of a probabilistic distance which assigns to a point and a subset a distance distribution function.
Gunther Jäger
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Probabilistic convergence spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1996 AbstractA basic theory for probabilistic convergence spaces based on filter convergence is introduced. As in Florescu's previous theory of probabilistic convergence structures based on nets, one is able to assign a probability that a given filter converges to a given point.
Richardson, G. D., Kent, D. C.
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T-regular probabilistic convergence spaces [PDF]
Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics, 1998 AbstractA probabilistic convergence structure assigns a probability that a given filter converges to a given element of the space. The role of the t-norm (triangle norm) in the study of regularity of probabilistic convergence spaces is investigated. Given a probabilistic convergence space, there exists a finest T-regular space which is coarser than the
Minkler, J., Minkler, G., Richardson, G.
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Strong $I^K$-Convergence in Probabilistic Metric Spaces
Iranian Journal of Mathematical Sciences and Informatics, 2022 12 pages.
Banerjee, A. K., Paul, M.
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