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All Journal EIGEN MATHEMATICS JOURNAL Journal of Fundamental Mathematics and Applications (JFMA)
Masriani Masriani
Department of Mathematics, Universitas Mataram
Decision Sciences, Operations Research & Management Mathematics

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Journal : EIGEN MATHEMATICS JOURNAL

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Fuzzy Metric Space and Its Topological Properties Masriani Masriani; Qurratul Aini; Syamsul Bahri
Eigen Mathematics Journal Vol. 4 No. 2 Desember 2021
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v4i2.95

Abstract

The fuzzy set theory is mathematics that applies fuzziness characteristics, so that gives the truth value at interval [0,1]. It is different from the crisp set that gives a truth value of 0 if it is not a member and 1 if it is a member. The theory of fuzzy sets has been developed continuously by scientists. One of the developments of the fuzzy set is the fuzzy metric space which the definition was introduced by George and Veeramani. Based on the analysis results, it is found that every metric space X if and only if X is fuzzy metric space. As a result, the topological properties of the metric space still apply to the fuzzy metric space
Co-Authors I Gede Adhitya Wisnu Wardhana Irwansyah Irwansyah Ni Wayan Switrayni Qurratul Aini Rina Juliana Syamsul Bahri