Communications of the
Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 2017; 32(2): 353-359

Online first article January 18, 2017      Printed April 30, 2017

https://doi.org/10.4134/CKMS.c160089

Copyright © The Korean Mathematical Society.

On a class of generalized triangular norms

Iqbal Jebril and Mustapha Ra\"{\i}ssouli

Taibah University, Science Faculty

Abstract

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Starting from a $t$-norm $T$, it is possible to construct a class of new $t$-norms, so-called $T$-generalized $t$-norm. The purpose of this paper is to describe some properties of this class of generalized $t$-norms. An algebraic structure as well as a binary relation among $t$-norms are also investigated. Some open problems are discussed as well.

Keywords: $t$-norm, generalized $t$-norm, power $t$-norm, group of $t$-norms, equivalence relation between $t$-norms

MSC numbers: 08A05

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