Publication detail
Fuzzy Metric Spaces
BEDNÁŘ, J.
Original Title
Fuzzy Metric Spaces
Type
conference paper
Language
English
Original Abstract
In this paper, we define a fuzzy metric space by means of Zadeh's extension principle. We formulate significant properties of this fuzzy metric space such as symmetry, positive semi-definity and the triangle inequality in several theorems and illustrate them by examples. We show that, by fuzzifying a contractive mapping, we obtain a fuzzy contractive mapping.
Keywords
fuzzy metrics, fuzzy distance, fuzzy contractive mapping, fuzzy metric space
Authors
BEDNÁŘ, J.
RIV year
2008
Released
18. 6. 2008
Publisher
BUT
Location
Brno
ISBN
978-80-214-3675-6
Book
Mendel 2008
Pages from
121
Pages to
124
Pages count
4
BibTex
@inproceedings{BUT30395,
author="Josef {Bednář}",
title="Fuzzy Metric Spaces",
booktitle="Mendel 2008",
year="2008",
pages="121--124",
publisher="BUT",
address="Brno",
isbn="978-80-214-3675-6"
}