A note on intuitionistic fuzzy metric spaces

V. Gregori, S. Romaguera and P. Veeramani

Chaos, Solitons & Fractals, 2006, vol. 28, issue 4, 902-905

Abstract: Recently, J.H. Park [J.H. Park, Intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals 2004;22:1039–46] introduced and studied a notion of intuitionistic fuzzy metric space by using the idea of intuitionistic fuzzy set due to Atanassov. In this note we show that for each intuitionistic fuzzy metric space (X,M,N,∗,♢), the topology generated by the intuitionistic fuzzy metric (M,N) coincides with the topology generated by the fuzzy metric M, and hence, the study of the space (X,M,N,∗,♢) reduces to the study of the fuzzy metric space (X,M,∗); so that, Park’s results follow directly from well-known theorems in fuzzy metric spaces.

Date: 2006
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:4:p:902-905

DOI: 10.1016/j.chaos.2005.08.113

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