Published May 2006
| Version v1
Journal article
A note on intuitionistic fuzzy metric spaces
Creators
- 1. Escuela Politecnica Superior de Gandia, Universidad Politecnica de Valencia, 46730 Grau de Gandia, Valencia (Spain)
- 2. ET.S.I. Caminos, Departamento de Matematica Aplicada, Universidad Politecnica de Valencia, 46071 Valencia (Spain)
- 3. Department of Mathematics, Indian Institute of Technology, Chennai 600 036 (India)
Description
Recently, J.H. Park [J.H. Park, Intuitionistic fuzzy metric spaces. Chaos, Solitons and 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, *, lozenge ), 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, *, lozenge ) 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
Additional details
Identifiers
- DOI
- 10.1016/j.chaos.2005.08.113;
- PII
- S0960-0779(05)00721-6;
Publishing Information
- Journal Title
- Chaos, Solitons and Fractals
- Journal Volume
- 28
- Journal Issue
- 4
- Journal Page Range
- p. 902-905
- ISSN
- 0960-0779
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 37067034
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- CHAOS THEORY; FUZZY LOGIC; MATHEMATICAL SPACE; METRICS; TOPOLOGY
- Descriptors DEC
- MATHEMATICAL LOGIC; MATHEMATICS; SPACE
Optional Information
- Copyright
- Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved.