DocumentCode
3591807
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
Volume
6
fYear
2009
Firstpage
418
Lastpage
422
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems and Knowledge Discovery, 2009. FSKD '09. Sixth International Conference on
Print_ISBN
978-0-7695-3735-1
Type
conf
DOI
10.1109/FSKD.2009.662
Filename
5359883
Link To Document