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International Journal of Theoretical Physics, 2004 A test space is the set of outcome-sets associated with a collection of experiments. This notion provides a simple mathematical framework for the study of probabilistic theories -- notably, quantum mechanics -- in which one is faced with incommensurable ...
A. Gleason +8 more
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Topological Quasilinear Spaces [PDF]
Abstract and Applied Analysis, 2012 We introduce, in this work, the notion of topological quasilinear spaces as a generalization of the notion of normed quasilinear spaces defined by Aseev (1986). He introduced a kind of the concept of a quasilinear spaces both including a classical linear
Yılmaz Yılmaz +2 more
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Ways of obtaining topological measures on locally compact spaces [PDF]
Известия Иркутского государственного университета: Серия "Математика", 2018 Topological measures and quasi-linear functionals generalize measures and li\-near functionals. Deficient topological measures, in turn, generalize topological measures.
S. V. Butler
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Fibre wise Multi-Perfect Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2023 The essential objective of this paper is to existing a new notion of fibrewise topological spaces on D is named to be upper perfect topological spaces, lower perfect topological spaces, multi-perfect topological spaces, fibrewise upper perfect ...
Y. Y. Yousif, M.H. Jaber
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Disjoint union of fuzzy soft topological spaces
AIMS Mathematics, 2023 In this work, sums of fuzzy soft topological spaces are defined with free union of a pairwise disjoint non-empty family of fuzzy soft topological spaces. Firstly, we give general information of fuzzy soft topological spaces. Then, we define free union of
Arife Atay
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Fibrewise Fuzzy Topological Spaces
Ibn Al-Haitham Journal for Pure and Applied Sciences, 2021 We introduce and discuss the modern type of fibrewise topological spaces, namely fibrewise fuzzy topological spaces. Also, we introduce the concepts of fibrewise closed fuzzy topological spaces, fibrewise open fuzzy topological spaces, fibrewise locally ...
Yousif Y. Yousif
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A new approach to nearly paracompact spaces
Математичні Студії, 2023 The pre-open sets are a generalization of open sets of topological spaces. In this paper, we introduce and study a notion of po-paracompact spaces via pre-open sets on topological spaces.
A. Mukharjee
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Fuzzy metric topology space and manifold [PDF]
Journal of Fuzzy Extension and Applications, 2023 This paper, considers the fuzzy topological subsets, fuzzy topological spaces and introduces a novel concept of fuzzy Hausdorff space and fuzzy manifold space in this regards. Based on these concepts, we present a concept of fuzzy metric Hausdorff spaces
Mahdi Mollaei Arani
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Picture fuzzy topological spaces and associated continuous functions
AIMS Mathematics, 2022 This paper describes a study of picture fuzzy topological spaces. We prove some basic results related to picture fuzzy sets together with the introduction of new notions such as the rank, picture fuzzy base and picture fuzzy sub-base of picture fuzzy ...
Abdul Razaq +3 more
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Discretization of Topological Spaces [PDF]
The Quarterly Journal of Mathematics, 2016 19 ...
Amini, Massoud, Golestani, Nasser
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