Specifying t-norms based on the value of T (1/2, 1/2).

Marcin Detyniecki; Ronald R. Yager; Bernadette Bouchon-Meunier

Mathware and Soft Computing (2000)

  • Volume: 7, Issue: 1, page 77-87
  • ISSN: 1134-5632

Abstract

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We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.

How to cite

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Detyniecki, Marcin, Yager, Ronald R., and Bouchon-Meunier, Bernadette. "Specifying t-norms based on the value of T (1/2, 1/2).." Mathware and Soft Computing 7.1 (2000): 77-87. <http://eudml.org/doc/39182>.

@article{Detyniecki2000,
abstract = {We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.},
author = {Detyniecki, Marcin, Yager, Ronald R., Bouchon-Meunier, Bernadette},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Operadores lógicos; Algebras de Boole; T-norma; t-norms; specification},
language = {eng},
number = {1},
pages = {77-87},
title = {Specifying t-norms based on the value of T (1/2, 1/2).},
url = {http://eudml.org/doc/39182},
volume = {7},
year = {2000},
}

TY - JOUR
AU - Detyniecki, Marcin
AU - Yager, Ronald R.
AU - Bouchon-Meunier, Bernadette
TI - Specifying t-norms based on the value of T (1/2, 1/2).
JO - Mathware and Soft Computing
PY - 2000
VL - 7
IS - 1
SP - 77
EP - 87
AB - We study here the behavior of the t-norms at the point (1/2, 1/2). We indicate why this point can be considered as significant in the specification of t-norms. Then, we suggest that the image of this point can be used to classify the t-norms. We consider some usual examples. We also study the case of parameterized t-norms. Finally using the results of this study, we propose a uniform method of computing the parameters. This method allows not only having the same parameter-scale for all the families, but also giving an intuitional sense to the parameters.
LA - eng
KW - Lógica difusa; Operadores lógicos; Algebras de Boole; T-norma; t-norms; specification
UR - http://eudml.org/doc/39182
ER -

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