Fuzzy distances
Kybernetika (2005)
- Volume: 41, Issue: 3, page [375]-388
- ISSN: 0023-5954
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topBednář, Josef. "Fuzzy distances." Kybernetika 41.3 (2005): [375]-388. <http://eudml.org/doc/33760>.
@article{Bednář2005,
abstract = {In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to $\mathbb \{R\}^\{n\}$ are dealt with in detail.},
author = {Bednář, Josef},
journal = {Kybernetika},
keywords = {fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction; fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction},
language = {eng},
number = {3},
pages = {[375]-388},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Fuzzy distances},
url = {http://eudml.org/doc/33760},
volume = {41},
year = {2005},
}
TY - JOUR
AU - Bednář, Josef
TI - Fuzzy distances
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 3
SP - [375]
EP - 388
AB - In the paper, three different ways of constructing distances between vaguely described objects are shown: a generalization of the classic distance between subsets of a metric space, distance between membership functions of fuzzy sets and a fuzzy metric introduced by generalizing a metric space to fuzzy-metric one. Fuzzy metric spaces defined by Zadeh’s extension principle, particularly to $\mathbb {R}^{n}$ are dealt with in detail.
LA - eng
KW - fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction; fuzzy metric; fuzzy distance; fuzzy metric space; fuzzy contraction
UR - http://eudml.org/doc/33760
ER -
References
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