S -measures, T -measures and distinguished classes of fuzzy measures

Peter Struk; Andrea Stupňanová

Kybernetika (2006)

  • Volume: 42, Issue: 3, page 367-378
  • ISSN: 0023-5954

Abstract

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S -measures are special fuzzy measures decomposable with respect to some fixed t-conorm S . We investigate the relationship of S -measures with some distinguished properties of fuzzy measures, such as subadditivity, submodularity, belief, etc. We show, for example, that each S P -measure is a plausibility measure, and that each S -measure is submodular whenever S is 1-Lipschitz.

How to cite

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Struk, Peter, and Stupňanová, Andrea. "$S$-measures, $T$-measures and distinguished classes of fuzzy measures." Kybernetika 42.3 (2006): 367-378. <http://eudml.org/doc/33811>.

@article{Struk2006,
abstract = {$S$-measures are special fuzzy measures decomposable with respect to some fixed t-conorm $S$. We investigate the relationship of $S$-measures with some distinguished properties of fuzzy measures, such as subadditivity, submodularity, belief, etc. We show, for example, that each $S_P$-measure is a plausibility measure, and that each $S$-measure is submodular whenever $S$ is 1-Lipschitz.},
author = {Struk, Peter, Stupňanová, Andrea},
journal = {Kybernetika},
keywords = {fuzzy measure; t-norm; T-conorm; subadditivity; belief; fuzzy measure; -norm; -conorm; subadditivity; belief},
language = {eng},
number = {3},
pages = {367-378},
publisher = {Institute of Information Theory and Automation AS CR},
title = {$S$-measures, $T$-measures and distinguished classes of fuzzy measures},
url = {http://eudml.org/doc/33811},
volume = {42},
year = {2006},
}

TY - JOUR
AU - Struk, Peter
AU - Stupňanová, Andrea
TI - $S$-measures, $T$-measures and distinguished classes of fuzzy measures
JO - Kybernetika
PY - 2006
PB - Institute of Information Theory and Automation AS CR
VL - 42
IS - 3
SP - 367
EP - 378
AB - $S$-measures are special fuzzy measures decomposable with respect to some fixed t-conorm $S$. We investigate the relationship of $S$-measures with some distinguished properties of fuzzy measures, such as subadditivity, submodularity, belief, etc. We show, for example, that each $S_P$-measure is a plausibility measure, and that each $S$-measure is submodular whenever $S$ is 1-Lipschitz.
LA - eng
KW - fuzzy measure; t-norm; T-conorm; subadditivity; belief; fuzzy measure; -norm; -conorm; subadditivity; belief
UR - http://eudml.org/doc/33811
ER -

References

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