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M-FUZZY METRIC SPACES AND D-METRIC SPACES
Advances in Fuzzy Sets and Systems, 2017Summary: We study certain variants of \(M\)-fuzzy metric spaces and also of \(D\)-metric spaces.
Fora, Ali Ahmad Ali +2 more
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On metric spaces of subcopulas
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Clone Space as a Metric Space
Acta Applicandae Mathematica, 1998Let \(O_k\), \(k\in\mathbb{N}\), be the set of all functions \(E^n_k\to E_k\) for some \(n\in\mathbb{N}\), where \(E_k=\{0,1,\dots,k-1\}\). Any subset \(C\) of \(O_k\) which contains all projections, i.e. functions defined by \(\text{pr}^n_i(x_1,x_2,\dots,x_n)=x_i\), \(1\leq i\leq n\), \(n\in\mathbb{N}\), and closed under superpositions is called a ...
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Theory of Probability & Its Applications, 1962
Let $\{ x_n ,n = 1,2, \cdots \}$ be a random sequence with values in a compact metric space X. Following Doss, we define the conditional mathematical expectation of $x_n $ with respect to the Borel field $\mathfrak{F}$ as the (random) set \[ M\left\{ {x_n \mid \mathfrak{F}} \right\} = \mathop \cup \limits_{y \in D} \left\{ {z:d\left( {z,y} \right ...
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Let $\{ x_n ,n = 1,2, \cdots \}$ be a random sequence with values in a compact metric space X. Following Doss, we define the conditional mathematical expectation of $x_n $ with respect to the Borel field $\mathfrak{F}$ as the (random) set \[ M\left\{ {x_n \mid \mathfrak{F}} \right\} = \mathop \cup \limits_{y \in D} \left\{ {z:d\left( {z,y} \right ...
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The American Mathematical Monthly, 2009
Scott models are topological models of complete partial orders used for Tarskian fixed point semantics of the lambda calculus. As of yet there are no methods for deriving Scott models from specifications of the "complete" objects beyond an arbitrary choice.
Michael A. Bukatin +3 more
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Scott models are topological models of complete partial orders used for Tarskian fixed point semantics of the lambda calculus. As of yet there are no methods for deriving Scott models from specifications of the "complete" objects beyond an arbitrary choice.
Michael A. Bukatin +3 more
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Algebra universalis, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On metric spaces induced by fuzzy metric spaces
2016The authors introduce a family of extended pseudo-metrics for a class of fuzzy metric spaces. It enables to construct a metric on fuzzy metric spaces and the induced metric space shares many properties with the given fuzzy metric space. For example the same topology is generated and the spaces have the same completeness. The authors present some simple
Qiu, D., Dong, R., Li, H.
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Journal of Intelligent & Fuzzy Systems, 2018
The paper considers new classes of spaces of finite, bounded, measurable multisets with different metrics, pseudometrics, quasimetrics, symmetrics, and some properties of these metrics. We discuss the possibilities to apply new types of metrics for estimating proximity of objects with many numerical and/or verbal attributes.
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The paper considers new classes of spaces of finite, bounded, measurable multisets with different metrics, pseudometrics, quasimetrics, symmetrics, and some properties of these metrics. We discuss the possibilities to apply new types of metrics for estimating proximity of objects with many numerical and/or verbal attributes.
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2020
The target of this paper is to induce a topology from a given $b_2$-metric and study the properties of the topology induced by this way. We first define the notion of $\varepsilon$-ball in $b_2$-metric spaces and consider the topology induced by a given $b_2$-metric via $\varepsilon$-balls.
GÜNER, Elif, AYGÜN, Halis
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The target of this paper is to induce a topology from a given $b_2$-metric and study the properties of the topology induced by this way. We first define the notion of $\varepsilon$-ball in $b_2$-metric spaces and consider the topology induced by a given $b_2$-metric via $\varepsilon$-balls.
GÜNER, Elif, AYGÜN, Halis
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2003
This is a presentation without proofs of the key facts about the topology of Probabilistic Metric spaces, Probabilistic Normed spaces and Probabilistic Inner Product spaces.
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This is a presentation without proofs of the key facts about the topology of Probabilistic Metric spaces, Probabilistic Normed spaces and Probabilistic Inner Product spaces.
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