Title :
Some Properties and Baire Space on Intuitionistic Fuzzy Metric Space
Author :
Park, Jong Seo ; Kwun, Young Chel ; Park, Jin Han
Author_Institution :
Dept. of Math. Educ., Chinju Nat. Univ. of Educ., Chinju, South Korea
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 (2000).
Keywords :
fuzzy logic; sequences; topology; Baire space; Cauchy subsequence; intuitionistic fuzzy metric space; topology; Extraterrestrial measurements; Fuzzy sets; Fuzzy systems; Mathematics; Neodymium; Topology; Baire space; Intuitionistic fuzzy metric space; compact; complete; precompact;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Print_ISBN :
978-0-7695-3735-1
DOI :
10.1109/FSKD.2009.662
