Chu Space and Approximable Concept Lattice in Fuzzy Setting

Chen, Xueyou; Li, Qingguo; Deng, Zhili

doi:10.1109/fuzzy.2007.4295349

Cited by 13 publications

(7 citation statements)

References 10 publications

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“…In [4,5], we investigated the notion of approxmable concept in fuzzy setting. As a sequel, in the paper, we introduced the notions of directed set, way-below relation in fuzzy setting, and constructed the theory of continuous lattices of L-sets, and gave some examples, which incudes the algebra lattice of all L-approximable concepts, i.e., Example 5.…”

Section: Discussionmentioning

confidence: 99%

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Continuous lattices of L-sets

Chen

2010

Third International Workshop on Advanced Computational Intelligence

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Section: Discussionmentioning

confidence: 99%

“…Example 5: In [4,5], we introduced the notion of approximable concept in fuzzy setting, and showed that the set of all approximable concepts (of attributes) forms an algebraic lattice of L-sets.…”

Section: Examplesmentioning

confidence: 99%

Continuous lattices of L-sets

Chen

2010

Third International Workshop on Advanced Computational Intelligence

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“…Relations between Chu spaces and category theory, linear logic, topology and other theories have been researched in e.g. [2], [6], [7], [9], [15], [16]. In this section, we will give basic definitions of Chu spaces.…”

Section: Chu Spacesmentioning

confidence: 99%

A Chu spaces semantics of control flow in BPEL

Xing

Zhou

2009

2009 IEEE Asia-Pacific Services Computing Conference (APSCC)

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We present a Chu spaces semantics of typical control flow of BPEL including fault handling and link semantics. BPEL cf is proposed as a simplification of this subset of BPEL. For the compositional modeling of BPEL, we present a Chu spaces process algebra consisting of seven operators. These operators allow faults to be thrown at any point of execution and take link-based synchronization into consideration. We present the abstract syntax of BPEL cf , the semantic algebra, and the valuation functions for computing the Chu spaces denotation of BPEL cf programs. The valuation functions are straightforward because of the power of the Chu spaces process algebra.

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“…It should be noted that the notion of a framework is a special case of the notion of the formal context, due to B. Ganter and R. Wille [9], sometimes also referred as the Chu space [3]. Recall that a formal context is a triple (G, M, I), where G is a set of objects, M is a set of attributes and I ⊆ G×M is a binary relation.…”

Section: How To Topologize Everythingmentioning

confidence: 99%

The Framework, Causal and Co-compact Structure of Space-time

Kovár,

Chernikava

2013

Preprint

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We introduce a canonical, compact topology, which we call weakly causal, naturally generated by the causal site of J. D. Christensen and L. Crane, a pointless algebraic structure motivated by certain problems of quantum gravity. We show that for every four-dimensional globally hyperbolic Lorentzian manifold there exists an associated causal site, whose weakly causal topology is co-compact with respect to the manifold topology and vice versa. Thus, the causal site has the full information about the topology of space-time, represented by the Lorentzian manifold. In addition, we show that there exist also non-Lorentzian causal sites (whose causal relation is not a continuous poset) and so the weakly causal topology and its de Groot dual extends the usual manifold topology of space-time beyond topologies generated by the traditional, smooth model. As a source of inspiration in topologizing the studied causal structures, we use some methods and constructions of general topology and formal concept analysis.

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Chu Space and Approximable Concept Lattice in Fuzzy Setting

Abstract: In the paper, we introduce the notion of approximable concept in fuzzy setting, and show that approximable concept lattices represent algebraic completely lattice L-ordered sets in the sense of R. Belohlavek,.

Cited by 13 publications

References 10 publications

Continuous lattices of L-sets

Continuous lattices of L-sets

A Chu spaces semantics of control flow in BPEL

The Framework, Causal and Co-compact Structure of Space-time

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