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Some properties of intuitionuistic fuzzy metric spaces


×÷Õß:Li, CQ (Li, Chang-qing)




JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS



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In this paper we show that a topological space is (completely) metrizable if and only if it admits a compatible (complete) intuitionistic fuzzy metric, we also prove that the topological space induced by a complete intuitionistic fuzzy metric space is completely metrizable. Finally, we consider the intuitionistic fuzzy product metric space of two intuitionistic fuzzy metric spaces and explore precompactness, completeness and compactness of the intuitionistic fuzzy product metric space.


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×÷Õ߹ؼü´Ê:Intuitionistic fuzzy metric; Cauchy; Complete; Precompact; Completely metrizable


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ͨѶ×÷ÕßµØÖ·: Li, CQ (ͨѶ×÷Õß)





Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China.





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[ 1 ] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China





µç×ÓÓʼþµØÖ·:helen_smile0320@163.com


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FDYS of Minnan Normal University


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EUDOXUS PRESS, LLC, 1424 BEAVER TRAIL DRIVE, CORDOVA, TN 38016 USA


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Ñо¿·½Ïò:Computer Science; Mathematics

Web of Science Àà±ð:Computer Science, Theory & Methods; Mathematics, Applied


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Èë²ØºÅ: WOS:000330602700006
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