Some classes of divergence measures between fuzzy subsets and between fuzzy partitions.

Susana Montes; Pedro Gil

Mathware and Soft Computing (1998)

  • Volume: 5, Issue: 2-3, page 253-265
  • ISSN: 1134-5632

Abstract

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The aim of this paper is to present and study one important class of divergence measure between fuzzy subsets, and one important class of divergence measure between fuzzy partitions, each of them having some specific properties. In the first case, the divergence measure attempts to quantify the degree of difference between two fuzzy subsets ? and ? by comparing the fuzziness of both ? and ? with the fuzziness of the intermediate fuzzy subset. In the second case, we use this divergence between subsets to measure the divergence between partitions.

How to cite

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Montes, Susana, and Gil, Pedro. "Some classes of divergence measures between fuzzy subsets and between fuzzy partitions.." Mathware and Soft Computing 5.2-3 (1998): 253-265. <http://eudml.org/doc/39149>.

@article{Montes1998,
abstract = {The aim of this paper is to present and study one important class of divergence measure between fuzzy subsets, and one important class of divergence measure between fuzzy partitions, each of them having some specific properties. In the first case, the divergence measure attempts to quantify the degree of difference between two fuzzy subsets ? and ? by comparing the fuzziness of both ? and ? with the fuzziness of the intermediate fuzzy subset. In the second case, we use this divergence between subsets to measure the divergence between partitions.},
author = {Montes, Susana, Gil, Pedro},
journal = {Mathware and Soft Computing},
keywords = {Conjuntos difusos; Divergencia; Partición; divergence measure; fuzziness measure; fuzzy partitions},
language = {eng},
number = {2-3},
pages = {253-265},
title = {Some classes of divergence measures between fuzzy subsets and between fuzzy partitions.},
url = {http://eudml.org/doc/39149},
volume = {5},
year = {1998},
}

TY - JOUR
AU - Montes, Susana
AU - Gil, Pedro
TI - Some classes of divergence measures between fuzzy subsets and between fuzzy partitions.
JO - Mathware and Soft Computing
PY - 1998
VL - 5
IS - 2-3
SP - 253
EP - 265
AB - The aim of this paper is to present and study one important class of divergence measure between fuzzy subsets, and one important class of divergence measure between fuzzy partitions, each of them having some specific properties. In the first case, the divergence measure attempts to quantify the degree of difference between two fuzzy subsets ? and ? by comparing the fuzziness of both ? and ? with the fuzziness of the intermediate fuzzy subset. In the second case, we use this divergence between subsets to measure the divergence between partitions.
LA - eng
KW - Conjuntos difusos; Divergencia; Partición; divergence measure; fuzziness measure; fuzzy partitions
UR - http://eudml.org/doc/39149
ER -

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