# 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

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topDetyniecki, 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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