BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE

Authors

  • Jehad R. Kider

DOI:

https://doi.org/10.24297/jam.v9i7.2298

Keywords:

Standard fuzzy metric space, standard fuzzy quasi-metric space, bicompletable standard qussi-metric space.

Abstract

In this paper we introduce the definition of standard fuzzy quasi-metric space then we discuss several properties after we give an example to illustrate this notion. Then we showed the existence of a standard fuzzy quasi-metric space which is not bicompletable. Here we prove that every bicompletable standard qussi-metric space admits a unique [ up to F-isometic ] bicompletion.

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Author Biography

Jehad R. Kider

Department of Applied Science

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Published

2014-12-17

How to Cite

R. Kider, J. (2014). BICOMPLETABLE STANDARD FUZZY QUASI-METRIC SPACE. JOURNAL OF ADVANCES IN MATHEMATICS, 9(7), 2802–2811. https://doi.org/10.24297/jam.v9i7.2298

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