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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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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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On metric spaces of subcopulas
Fuzzy Sets and Systems, 2021zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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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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Springer Undergraduate Mathematics Series, 2022
A. G. Aksoy, M. Khamsi
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A. G. Aksoy, M. Khamsi
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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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Fuzzy Sets and Systems, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kankana Chakrabarty +2 more
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Kankana Chakrabarty +2 more
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Algebra universalis, 2012
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