Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity

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LOPEZ RODRIGUEZ J.; ROMAGUERA S.; SANCHIS M.

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Journal: Iranian Journal of Fuzzy Systems Year:2019 | Volume:16 | Issue:6 Page(s): 143-158

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Information Journal Paper

Title

Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity

Author(s)

LOPEZ RODRIGUEZ J. | ROMAGUERA S. | SANCHIS M. | Issue Writer Certificate

Keywords

UniformityQ2

fuzzy uniform structureQ2

Hutton [0Q2

1]-quasi-uniformityQ2

completenessQ2

Abstract

In [25], Katsaras introduced a method for constructing a Hutton [0, 1]-quasi-Uniformity from a crisp Uniformity. In this paper we present other different methods for making this based mainly in the concept of a fuzzy uniform structure. Furthermore, we prove that some of these methods preserve the completeness property of the quasi-Uniformity. Moreover, we also show that Katsaras’ construction allows to develop a theory of completion of a Hutton [0, 1]-quasi-uniform space obtained from a uniform space.

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APA: Copy

LOPEZ RODRIGUEZ, J., ROMAGUERA, S., & SANCHIS, M.. (2019). Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity. IRANIAN JOURNAL OF FUZZY SYSTEMS, 16(6 ), 143-158. SID. https://sid.ir/paper/404542/en

Vancouver: Copy

LOPEZ RODRIGUEZ J., ROMAGUERA S., SANCHIS M.. Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2019;16(6 ):143-158. Available from: https://sid.ir/paper/404542/en

IEEE: Copy

J. LOPEZ RODRIGUEZ, S. ROMAGUERA, and M. SANCHIS, “Completeness of Hutton [0; 1]-quasi-uniformities induced by a crisp uniformity,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 16, no. 6 , pp. 143–158, 2019, [Online]. Available: https://sid.ir/paper/404542/en

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