Completeness, compactness, and precompactness in fuzzy uniform spaces: Part I

Lowen, P; Wuyts, P.

doi:10.1016/0022-247x(82)90082-8

Cited by 35 publications

(16 citation statements)

References 6 publications

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“…Compactness~ Precompactness~ and Completeness of Fuzzy Uniform Spaces were first studied by R. Lowen and P. Wuyts [124,125]. Here are some results from these papers.…”

Section: F: (X T(l/x)) -+ (Y T(l/v)) Of the Corresponding Topologicmentioning

confidence: 96%

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Basic structures of fuzzy topology

Šostak¹

1996

J Math Sci

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“…Compactness~ Precompactness~ and Completeness of Fuzzy Uniform Spaces were first studied by R. Lowen and P. Wuyts [124,125]. Here are some results from these papers.…”

Section: F: (X T(l/x)) -+ (Y T(l/v)) Of the Corresponding Topologicmentioning

confidence: 96%

“…de Prada Vicente, see, e.g., [130,131,156,157]. Prefilters were successfully used in the study of such properties as compactness and separation axioms (see, e.g., [111,124,125,209,27] et aI.). Besides, they play a crucial role in the theory of (Lowen) fuzzy uniformities (Sec.…”

Section: Z851mentioning

confidence: 99%

Basic structures of fuzzy topology

Šostak¹

1996

J Math Sci

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“…the weakest topology on X with respect to which a l l members of r are lower semicontinuous. Lowen and Wuyts studied in [13] and [14] the problem of the completeness in a fuzzy uniform space.…”

Section: Introduction Lowen Gave In [Ill Andmentioning

confidence: 99%

Completeness in Linear Fuzzy Neighborhood Spaces

Katsaras

1991

Quaestiones Mathematicae

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“…When building a nice theory of convergence suitable for applications in fuzzy set theory, one usually starts within the category FTS offuzzy topological spaces or looks for subcategories with an even richer structure, such as the category of fuzzy neighborhood spaces or the category of fuzzy uniformizable spaces [R. Lowen 1981a, R. Lowen 1982 where convergence can easily be described.…”

Section: E Lowen R Lowen §O Introductionmentioning

confidence: 99%

“…The categories FTS, FNS, or FUS (offuzzy uniform spaces) in the sense of [R. Lowen 1974Lowen , 1982Lowen , 1981 are examples of topological categories with objects of a fuzzy nature.…”

Section: E Lowen R Lowen §O Introductionmentioning

confidence: 99%

Applications of Category Theory to Fuzzy Subsets

Rodabaugh¹,

Klement²,

Höhle³

1992

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Scope:The series focuses on the application of methods and ideas of logic, mathematics and statistics to the social sciences. In particular, formal treatment of social phenomena, the analysis of decision making, information theory and problems of inference will be central themes of this part of the library. Besides theoretical results, empirical investigations and the testing of theoretical models of real world problems will be subjects of interest. In addition to emphasizing interdisciplinary communication, the series will seek to support the rapid dissemination of recent results.The titles published in this series are listed at the end of this volume.

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Completeness, compactness, and precompactness in fuzzy uniform spaces: Part I

Cited by 35 publications

References 6 publications

Basic structures of fuzzy topology

Basic structures of fuzzy topology

Completeness in Linear Fuzzy Neighborhood Spaces

Applications of Category Theory to Fuzzy Subsets

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