Multiplication, distributivity and fuzzy-integral. I

Wolfgang Sander; Jens Siedekum

Kybernetika (2005)

  • Volume: 41, Issue: 3, page [397]-422
  • ISSN: 0023-5954

Abstract

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The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.

How to cite

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Sander, Wolfgang, and Siedekum, Jens. "Multiplication, distributivity and fuzzy-integral. I." Kybernetika 41.3 (2005): [397]-422. <http://eudml.org/doc/33762>.

@article{Sander2005,
abstract = {The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.},
author = {Sander, Wolfgang, Siedekum, Jens},
journal = {Kybernetika},
keywords = {fuzzy measures; distributivity law; restricted domain; pseudo- addition; pseudo-multiplication; Choquet integral; Sugeno integral; fuzzy measure; distributivity law; pseudo-addition; pseudomultiplication; Choquet integral; Sugeno integral},
language = {eng},
number = {3},
pages = {[397]-422},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Multiplication, distributivity and fuzzy-integral. I},
url = {http://eudml.org/doc/33762},
volume = {41},
year = {2005},
}

TY - JOUR
AU - Sander, Wolfgang
AU - Siedekum, Jens
TI - Multiplication, distributivity and fuzzy-integral. I
JO - Kybernetika
PY - 2005
PB - Institute of Information Theory and Automation AS CR
VL - 41
IS - 3
SP - [397]
EP - 422
AB - The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.
LA - eng
KW - fuzzy measures; distributivity law; restricted domain; pseudo- addition; pseudo-multiplication; Choquet integral; Sugeno integral; fuzzy measure; distributivity law; pseudo-addition; pseudomultiplication; Choquet integral; Sugeno integral
UR - http://eudml.org/doc/33762
ER -

References

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