Domination in the families of Frank and Hamacher t-norms

Peter Sarkoci

Displaying similar documents to “Domination in the families of Frank and Hamacher t-norms”

Generated triangular norms

Erich Peter Klement, Radko Mesiar, Endre Pap (2000)

Kybernetika

Similarity:

An overview of generated triangular norms and their applications is presented. Several properties of generated $t$ -norms are investigated by means of the corresponding generators, including convergence properties. Some applications are given. An exhaustive list of relevant references is included.

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

Marcin Detyniecki, Ronald R. Yager, Bernadette Bouchon-Meunier (2000)

Mathware and Soft Computing

Similarity:

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...

QL-implications versus D-implications

Margarita Mas, Miquel Monserrat, Joan Torrens (2006)

Kybernetika

Similarity:

This paper deals with two kinds of fuzzy implications: QL and Dishkant implications. That is, those defined through the expressions $I (x, y) = S (N (x), T (x, y))$ and $I (x, y) = S (T (N (x), N (y)), y)$ respectively, where $T$ is a t-norm, $S$ is a t-conorm and $N$ is a strong negation. Special attention is due to the relation between both kinds of implications. In the continuous case, the study of these implications is focused in some of their properties (mainly the contrapositive symmetry and the exchange principle). Finally, the case of non continuous...

Discussion of the structure of uninorms

Paweł Drygaś (2005)

Kybernetika

Similarity:

The paper deals with binary operations in the unit interval. We investigate connections between families of triangular norms, triangular conorms, uninorms and some decreasing functions. It is well known, that every uninorm is build by using some triangular norm and some triangular conorm. If we assume, that uninorm fulfils additional assumptions, then this triangular norm and this triangular conorm have to be ordinal sums. The intervals in ordinal sum are depending on the set of values...

Sugeno's negations and T-norms.

Gaspar Mayor Forteza (1994)

Mathware and Soft Computing

Similarity:

A functional characterization of Sugeno's negations is presented and as a consequence, we study a family of non strict Archimedean t-norms whose (vertical-horizontal) sections are straight lines.

Transitive decomposition of fuzzy preference relations: the case of nilpotent minimum

Susana Díaz, Susana Montes, Bernard De Baets (2004)

Kybernetika

Similarity:

Transitivity is a fundamental notion in preference modelling. In this work we study this property in the framework of additive fuzzy preference structures. In particular, we depart from a large preference relation that is transitive w.r.t. the nilpotent minimum t-norm and decompose it into an indifference and strict preference relation by means of generators based on t-norms, i. e. using a Frank t-norm as indifference generator. We identify the strongest type of transitivity these indifference...