Journal ArticleDOI
On fuzzy metric spaces
Osmo Kaleva,Seppo Seikkala +1 more
TLDR
The distance between two points in a fuzzy metric space is a non-negative, upper semicontinuous, normal and convex fuzzy number.About:
This article is published in Fuzzy Sets and Systems.The article was published on 1984-04-01. It has received 738 citations till now. The article focuses on the topics: Convex metric space & T-norm.read more
Citations
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Journal ArticleDOI
On some results in fuzzy metric spaces
A. George,P. Veeramani +1 more
TL;DR: In this paper, a Hausdorff topology on a fuzzy metric space was defined, and Baire's theorem for fuzzy metric spaces was proved for the first time in the fuzzy metric domain.
Journal ArticleDOI
Fixed points in fuzzy metric spaces
TL;DR: In this paper, the well-known fixed point theorems of Banach and Edelstein are extended to fuzzy metric spaces in the settle of Kramosil and Michalek.
Journal ArticleDOI
Intuitionistic Fuzzy Metric Spaces
TL;DR: Sgurev et al. as discussed by the authors defined the notion of intuitionistic fuzzy metric spaces and proved Baire's theorem and the Uniform limit theorem for intuitionistic metric spaces using fuzzy sets.
Journal ArticleDOI
On some results of analysis for fuzzy metric spaces
A. George,P. Veeramani +1 more
TL;DR: It is proved that a subspace of a separable fuzzy metric space is separable and every separable warm fuzzy metricspace is second countable.
Journal ArticleDOI
On fixed-point theorems in fuzzy metric spaces
Valentín Gregori,Almanzor Sapena +1 more
TL;DR: Fixed-point theorems are given for complete fuzzy metric spaces in the sense of George and Veeramani and also for Kramosil and Michalek's fuzzy metric Spaces which are complete in Grabiec's sense.
References
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Journal ArticleDOI
The concept of a linguistic variable and its application to approximate reasoning—II☆
TL;DR: Much of what constitutes the core of scientific knowledge may be regarded as a reservoir of concepts and techniques which can be drawn upon to construct mathematical models of various types of systems and thereby yield quantitative information concerning their behavior.
Journal ArticleDOI
Fuzzy sets as a basis for a theory of possibility
TL;DR: The theory of possibility described in this paper is related to the theory of fuzzy sets by defining the concept of a possibility distribution as a fuzzy restriction which acts as an elastic constraint on the values that may be assigned to a variable.
Journal Article
Fuzzy metrics and statistical metric spaces
Ivan Kramosil,Jiří Michálek +1 more
TL;DR: The aim of this paper is to apply the concept of fuzziness to the clasical notions of metric and metric spaces and to compare the obtained notions with those resulting from some other, namely probabilistic statistical, generalizations of metric spaces.
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On nonlinear contractions
D. W. Boyd,J. S. W. Wong +1 more
TL;DR: In this article, it was shown that for a metrically convex space, the conclusion of Banach's theorem still holds, and that one need only assume that ip(t) 0, together with a semicontinuity condition on \[/.