Some properties and Baire space on intuitionistic fuzzy metric space

Authors:
Jong Seo Park;Young Chel Kwun;Jin Han Park
Affiliations:
Department of Math. Education, Chinju National University of Education, Jinju, South Korea;Department of Mathematics, Dong-A University, Busan, South Korea;Division of Math. Sci., Pukyong National University, Busan, South Korea
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

We prove that the topology generated by any intuitionistic fuzzy metric space is metrizable. Also, we show that if the intuitionistic fuzzy metric space is complete, then the generated topology is completely metrizable and that an intuitionistic fuzzy metric space is precompact if and only if every sequence has a Cauchy subsequence. Our research offers a generalization for Gregori and Romaguera [2].