Hyperspace of a fuzzy quasi-uniform space

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Pedraza T.; LOPEZ RODRIGUEZ J.

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Paper Information

Journal: Iranian Journal of Fuzzy Systems Year:2020 | Volume:17 | Issue:2 Page(s): 97-114

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Information Journal Paper

Title

Hyperspace of a fuzzy quasi-uniform space

Author(s)

Pedraza T. | LOPEZ RODRIGUEZ J. | Issue Writer Certificate

Keywords

Fuzzy implicationQ2

Hausdorff quasi-uniformityQ2

probabilistic quasi-uniformityQ2

Hutton [0Q2

1]-quasi-uniformityQ2

fuzzy quasi-pseudometricQ2

Hausdorff fuzzy quasi-pseudometricQ2

Abstract

The aim of this paper is to present a fuzzy counterpart method of constructing the Hausdorff quasi-uniformity of a crisp quasi-uniformity. This process, based on previous works due to Morsi [25] and Georgescu [9], allows to extend probabilistic and Hutton [0, 1]-quasi-uniformities on a set X to its power set. In this way, we obtain an endofunctor for each one of the categories of those objects. We will demonstrate the commutativity of these endofunctors with Lowen and Katsaras’ functors. Furthermore, we will prove the compatibility of our construction with the Hausdorff fuzzy quasi-pseudometric introduced in [33].

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APA: Copy

Pedraza, T., & LOPEZ RODRIGUEZ, J.. (2020). Hyperspace of a fuzzy quasi-uniform space. IRANIAN JOURNAL OF FUZZY SYSTEMS, 17(2 ), 97-114. SID. https://sid.ir/paper/377324/en

Vancouver: Copy

Pedraza T., LOPEZ RODRIGUEZ J.. Hyperspace of a fuzzy quasi-uniform space. IRANIAN JOURNAL OF FUZZY SYSTEMS[Internet]. 2020;17(2 ):97-114. Available from: https://sid.ir/paper/377324/en

IEEE: Copy

T. Pedraza, and J. LOPEZ RODRIGUEZ, “Hyperspace of a fuzzy quasi-uniform space,” IRANIAN JOURNAL OF FUZZY SYSTEMS, vol. 17, no. 2 , pp. 97–114, 2020, [Online]. Available: https://sid.ir/paper/377324/en

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