JOIN-MEET APPROXIMATION OPERATORS INDUCED BY ALEXANDROV FUZZY TOPOLOGIES
Korean Journal of Mathematics, 2014 Summary: In this paper, we investigate the properties of Alexandrov fuzzy topologies and join-meet approximation operators. We study fuzzy preorder, Alexandrov topologies join-meet approximation operators induced by Alexandrov fuzzy topologies. We give their examples.
Yong Chan Kim
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JOIN PRESERVING MAPS, FUZZY PREORDERS AND ALEXANDROV FUZZY TOPOLOGIES [PDF]
International Journal of Pure and Apllied Mathematics, 2014 Y.C. Kim
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Expediting Distributed DNN Training With Device Topology-Aware Graph Deployment [PDF]
IEEE Transactions on Parallel and Distributed Systems, 2023 This paper presents TAG, an automatic system to derive optimized DNN training graph and its deployment onto any device topology, for expedited training in device- and topology- heterogeneous ML clusters.
Shiwei Zhang +5 more
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Wake up and join me! An energy-efficient algorithm for maximal matching in radio networks [PDF]
Distributed computing, 2021 We consider networks of small, autonomous devices that communicate with each other wirelessly. Minimizing energy usage is an important consideration in designing algorithms for such networks, as battery life is a crucial and limited resource.
Varsha Dani +3 more
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Fork-join queueing~networks with an arbitrary topology: the infinite server case
Herald of Tver State University. Series: Applied Mathematics, 2017 Oleg Osipov, Igor Tananko
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On Topology Optimisation Methods and Additive Manufacture for Satellite Structures: A Review
Aerospace, 2023 Launching satellites into the Earth’s orbit is a critical area of research, and very demanding satellite services increase exponentially as modern society takes shape.
A. B. Hurtado-Pérez +4 more
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The Canonical Join Complex [PDF]
Electronic Journal of Combinatorics, 2016 A canonical join representation is a certain minimal "factorization" of an element in a finite lattice $L$ analogous to the prime factorization of an integer from number theory. The expression $\bigvee A =w$ is the canonical join representation of $w$ if
Emily Barnard
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Topological minimal self-joinings [PDF]
Ergodic Theory and Dynamical Systems, 1983 AbstractThere is an interesting duality between some of the concepts of ergodic theory and those of topological dynamics. This paper is a first attempt at developing a topological analogue to the measure-theoretic notion of a transformation having minimal self-joinings.
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Topology of desiccation crack patterns in clay and invariance of crack interface area with thickness [PDF]
The European Physical Journal E : Soft matter, 2014 We study the crack patterns developed on desiccating films of suspensions of three different clays—bentonite, halloysite nanoclay and laponite on a glass substrate. Varying the thickness of the layer, h gives the following new and interesting results: i)
T. Khatun, T. Dutta, S. Tarafdar
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Topological self-joinings of Cartan actions by toral automorphisms [PDF]
Duke Mathematical Journal, 2012 We show that if $r\geq 3$ and $ $ is a faithful $Z^r$-Cartan action on a torus $T^d$ by automorphisms, then any closed subset of $(T^d)^2$ which is invariant and topologically transitive under the diagonal $\bZ^r$-action by $ $ is homogeneous, in the sense that it is either the full torus $(T^d)^2$, or a finite set of rational points, or a finite ...
Elon Lindenstrauss, Zhiren Wang
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