Neoclassical analysis: Fuzzy continuity and convergence

Burgin, Mark

doi:10.1016/0165-0114(95)00064-r

Cited by 28 publications

(29 citation statements)

References 2 publications

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“…This brings us to feature spaces and the concept of approximate or fuzzy invariance, which is considered in neoclassical analysis (Burgin, 1995).…”

Section: Models and Structural Representationmentioning

confidence: 99%

Representation, Reconstruction and Recognition of 3D Objects

Burgin¹,

Klinger²

2018

EasyChair Preprints

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Abstract. In this paper, we further develop the approach to image recognition based on 3D structural information representation and utilization of super-recursive algorithms. The approach suggested in this paper synthesizes feature recognition techniques with structural shape representations. In addition, problems of object identification, weak object identification and viable object identification are considered.

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“…This brings us to feature spaces and the concept of approximate or fuzzy invariance, which is considered in neoclassical analysis (Burgin, 1995).…”

Section: Models and Structural Representationmentioning

confidence: 99%

Representation, Reconstruction and Recognition of 3D Objects

Burgin¹,

Klinger²

2018

EasyChair Preprints

Self Cite

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“…A proof of this theorem is based on the following property of fuzzy continuous functions, which is proved in [3].…”

Section: Theorem 1 If There Are Only Fuzzy Continuous Time Coordinatmentioning

confidence: 99%

“…With respect to time coordination functions, it implies continuity, or more generally, fuzzy continuity of such functions. Properties of fuzzy continuous functions are studied in [3]. These properties are important for time coordination.…”

Section: Definition 3 Connective Time For R Is the Time In Which Thementioning

confidence: 99%

“…In this three dimensional space, reflexive agents have the coordinates (1, 2, 1), model based agents have the coordinates (2, 2, 1) or (2, 3, 2), goal based agents have the coordinates (3, 4, 2) or (3, 4, 3), and utility based agents have the coordinates (3,5,2) or (3,4,3).…”

Section: Multiagents To Enhance Computer Visualizationmentioning

confidence: 99%

“…This is necessary for the organization of digital computations, where time is discrete. It is assumed that analog computations go in continuous time [21], but actually their time is only fuzzy continuous [3].…”

Section: Definition 3 Connective Time For R Is the Time In Which Thementioning

confidence: 99%

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The Problem of Time Scales in Computer Visualization

Burgin

Liu

Karplus

2001

Lecture Notes in Computer Science

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Abstract.A new approach to temporal aspects of visualization is proposed. Empirical and theoretical studies of visualization processes are presented in a more general context of human-computer interaction (HCI). It makes possible to develop a new model of HCI as a base for visualization. This model implements a methodology of autonomous intelligent agents. Temporal aspects of the model are rooted in the system theory of time. This theoretical background provides for obtaining properties of time coordination. In particular, it is proved that some theoretically advanced models for computation and visualization cannot be realized by physical devices. Applications of the model, its implications for visualization and problems of realization are considered. The new approach does not refute or eliminate previous research in this area, but puts it in a more general and adequate context, systematizing it and providing efficient facilities for the development of computer visualization.

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2020

A Modern Introduction to Fuzzy Mathematics

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Neoclassical analysis: Fuzzy continuity and convergence

Cited by 28 publications

References 2 publications

Representation, Reconstruction and Recognition of 3D Objects

Representation, Reconstruction and Recognition of 3D Objects

The Problem of Time Scales in Computer Visualization

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