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Quasimetrics and Fixed Points in Computing
, 1996
"... We consider quasimetrics as a technical tool for use in theoretical computer science. In particular, we discuss their use in finding fixed points of operators arising in programming language semantics, especially those arising in logic programming. 1 Introduction To prove the wellknown Banach ..."
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We consider quasimetrics as a technical tool for use in theoretical computer science. In particular, we discuss their use in finding fixed points of operators arising in programming language semantics, especially those arising in logic programming. 1 Introduction To prove the wellknown Banach
QUASIMETRIC SPACES WITH MEASURE
 SUBMITTED TO TOPOLOGY PROCEEDINGS
, 2003
"... The phenomenon of concentration of measure on high dimensional structures is usually stated in terms of a metric space with a Borel measure, also called an mmspace. We extend some of the mmspace concepts to the setting of a quasimetric space with probability measure (pqspace). Our motivation co ..."
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Cited by 3 (2 self)
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The phenomenon of concentration of measure on high dimensional structures is usually stated in terms of a metric space with a Borel measure, also called an mmspace. We extend some of the mmspace concepts to the setting of a quasimetric space with probability measure (pqspace). Our motivation
Connecting Fuzzy submonoids, fuzzy preorders and quasimetrics.
, 2006
"... This paper is an extended abstract of my paper [12] published in Fuzzy Set and Systems. We start from a residuated lattice L and a monoid M, and we define a Galois connection from the lattice of the compatible Lpreorders in M and the lattice of Lsubmonoids of M. Given a set S we define a Galois co ..."
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Cited by 1 (0 self)
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connection between the lattice of the Lpreorders in S and the lattice of Lsubmonoids of the monoid (S S, ◦, i). A link with the notion of quasimetric is also established.
Partial metrics, quasimetrics and oriented hypercubes
"... Given a set X, a function q: X × X → R≥0 with q(x, x)=0 is a quasidistance (or, in Topology, prametric) on X. A quasidistance q is a quasisemimetric if for x, y, z ∈ X it holds (oriented triangle inequality) q(x, y) ≤ q(x, z) + q(z, y) q ′ given by q ′ (x, y)=q(y, x) is dual quasisemimetric t ..."
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to q. (X, q) can be partially ordered by the specialization order: x ≼ y if and only if q(x, y)=0. Discrete quasimetric on poset (X, ≤) is q≤(x, y)=0 if x ≼ y and =1 else; for (X, q≤), order ≼ coincides with ≤.General Weightable l1 Cones Hypercube Hamiltonian Sink References Quasisemimetrics Given a
Neurofuzzy modeling and control
 IEEE Proceedings
, 1995
"... Abstract  Fundamental and advanced developments in neurofuzzy synergisms for modeling and control are reviewed. The essential part of neurofuzzy synergisms comes from a common framework called adaptive networks, which uni es both neural networks and fuzzy models. The fuzzy models under the framew ..."
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Cited by 231 (1 self)
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the framework of adaptive networks is called ANFIS (AdaptiveNetworkbased Fuzzy Inference System), which possess certain advantages over neural networks. We introduce the design methods for ANFIS in both modeling and control applications. Current problems and future directions for neurofuzzy approaches
FIXED FUZZY POINTS OF FUZZY MAPPINGS IN HAUSDORFF FUZZY METRIC SPACES WITH APPLICATION
"... Abstract. Recently, Phiangsungnoen et al. [J. Inequal. Appl. 2014:201 (2014)] studied fuzzy mappings in the framework of Hausdorff fuzzy metric spaces. Following this direction of research, we establish the existence of fixed fuzzy points of fuzzy mappings. An example is given to support the result ..."
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Abstract. Recently, Phiangsungnoen et al. [J. Inequal. Appl. 2014:201 (2014)] studied fuzzy mappings in the framework of Hausdorff fuzzy metric spaces. Following this direction of research, we establish the existence of fixed fuzzy points of fuzzy mappings. An example is given to support the result
Ultrametrics, Banach’s fixed point theorem and the Riordan group
"... Abstract. We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamical interpretation of certain arithmetical triangles introduced herein. Later we recognize, as a special case o ..."
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Cited by 9 (3 self)
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Abstract. We interpret the reciprocation process in K[[x]] as a fixed point problem related to contractive functions for certain adequate ultrametric spaces. This allows us to give a dynamical interpretation of certain arithmetical triangles introduced herein. Later we recognize, as a special case
FUZZY MULTIVALUED VARIATIONAL INCLUSIONS IN BANACH SPACES
"... The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in Banach spaces. Using the resolvent operator technique and a ne ..."
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The purpose of this paper is to introduce the concept of general fuzzy multivalued variational inclusions and to study the existence problem and the iterative approximation problem for certain fuzzy multivalued variational inclusions in Banach spaces. Using the resolvent operator technique and a
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