A note on intuitionistic fuzzy metric spaces

被引：82
|
作者：
Gregori, V
Romaguera, S [1 ]
Veeramani, P
机构：
[1] Univ Politecn Valencia, Dept Matemat Aplicada, ETSI Caminos, Valencia 46071, Spain
[2] Univ Politecn Valencia, Escuela Politecn Super Gandia, Valencia 46730, Spain
[3] Indian Inst Technol, Dept Math, Madras 600036, Tamil Nadu, India
来源：
CHAOS SOLITONS & FRACTALS | 2006年 / 28卷 / 04期
关键词：
D O I：
10.1016/j.chaos.2005.08.113
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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, *, lozenge), the topology generated by the intuitionistic fuzzy metric (MAD 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. (c) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：902 / 905
页数：4
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