Results 131 to 140 of about 610 (179)

Reducing t-norms and augmenting t-conorms

International Journal of General Systems, 2002
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.
Detyniecki, Marcin, Yager, Ronald R., Bouchon-Meunier, Bernadette   +2 more
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Nestings of T–Conorms

2009
This paper deals with a new method to construct a new t---conorm from two previous ones, by what we call a nesting procedure. After some general considerations about this method, we study those t---conorms obtained by nesting appropriate t---conorms in the basic maximum, drastic and Lukasiewicz t---conorms.
Javier Martín, Gaspar Mayor, Jaume Monreal   +2 more
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On the distributivity of fuzzy implications over continuous Archimedean t-conorms and continuous t-conorms given as ordinal sums

Fuzzy Sets and Systems, 2012
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Aifang Xie, Huawen Liu, Fengxia Zhang, Cheng Li 0051   +3 more
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On Migrative t-Conorms and Uninorms

2012
In this paper the notions of α-migrative t-conorms over a fixed t-conorm S 0, and α-migrative uninorms over another fixed uninorm U 0 with the same neutral element are introduced. All continuous t-conorms that are α-migrative over the maximum, the probabilistic sum and the Łukasiewicz t-conorm are characterized. Uninorms belonging to one of the classes
Margarita Mas, Miquel Monserrat, Daniel Ruiz-Aguilera, Joan Torrens   +3 more
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EXTREMAL k-LIPSCHITZ t-CONORMS

International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006
Class of k-Lipschitz t-conorms is shown to have no strongest element for k > 1. Pointwise supremum of the class of k-Lipschitz t-conorms is introduced and the best approximation of this supremum by k-Lipschitz t-conorm is constructed.
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On the measure of a fuzzy set based on continuous t-conorms

Fuzzy Sets and Systems, 1997
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Carlo Bertoluzza, David Cariolaro
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A note on moderate growth of t-conorms

Fuzzy Sets and Systems, 2001
Given a t-conorm \(S\) on [0,1], \(S\) is said to exhibit moderate growth if for all \( a> b \) we have \[ S(v,a) - S(v,b) \geq S(u,a) - S(u,v), \tag{1} \] whenever \( u > v \). Using results of C. Kimberling, R. Moynihan and A. Sklar, the author explains the relation between moderate growth an copulas, i.e., \(S\) is continuous and satisfies (1) if ...
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The constructions of non-continuous additive generators of t-conorms based on discrete additive generators of discrete t-conorms

Fuzzy Sets and Systems, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The additive generators of t-norms and t-conorms on bounded lattices

Fuzzy Sets and Systems, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xiang-Rong Sun, Hua-Wen Liu
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Propositional Belief Merging with T-conorms

2017
We analyze in this paper the impact of introducing fuzzy T-conorm operators in the area of belief merging. There are mainly two subclasses of merging operators: the utilitarian and the egalitarian ones. We prove that a T-conorm merging operator can be included in the subtype of egalitarian operators.
Henrique Viana, João F. L. Alcântara
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