On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p

Andres D. Báez-Sánchez; Marko A. Rojas-Medar

doi:10.1007/978-3-540-85027-4_28

On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p

Andres D. Báez-Sánchez
, Marko A. Rojas-Medar

Universidade Estadual de Campinas
Universidad del Bío-Bío

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

3 Scopus citations

Abstract

In this paper we present some counterexamples to a result related to fuzzy Lipschitz sets and fuzzy sets convolution. Using the concept of fuzzy triangular set of rank p is presented an alternative proof of a interesting density result over fuzzy sets which was previosly proved by using the result belied.

Original language	English
Title of host publication	Soft Methods for Handling Variability and Imprecision
Editors	Didier Dubois, Henri Prade, Asuncion Lubiano, Maria Angeles Gil, Przemysaw Grzegorzewski, Olgierd Hryniewicz
Pages	226-231
Number of pages	6
DOIs	https://doi.org/10.1007/978-3-540-85027-4_28
State	Published - 2008
Externally published	Yes

Publication series

Name	Advances in Soft Computing
Volume	48
ISSN (Print)	1615-3871
ISSN (Electronic)	1860-0794

Keywords

Density
Fuzzy sets convolution
Hausdorff metric
Lipschitz fuzzy sets
Triangular fuzzy sets

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10.1007/978-3-540-85027-4_28

Cite this

Báez-Sánchez, A. D., & Rojas-Medar, M. A. (2008). On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p. In D. Dubois, H. Prade, A. Lubiano, M. A. Gil, P. Grzegorzewski, & O. Hryniewicz (Eds.), Soft Methods for Handling Variability and Imprecision (pp. 226-231). (Advances in Soft Computing; Vol. 48). https://doi.org/10.1007/978-3-540-85027-4_28

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abstract = "In this paper we present some counterexamples to a result related to fuzzy Lipschitz sets and fuzzy sets convolution. Using the concept of fuzzy triangular set of rank p is presented an alternative proof of a interesting density result over fuzzy sets which was previosly proved by using the result belied.",

keywords = "Density, Fuzzy sets convolution, Hausdorff metric, Lipschitz fuzzy sets, Triangular fuzzy sets",

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language = "English",

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editor = "Didier Dubois and Henri Prade and Asuncion Lubiano and Gil, \{Maria Angeles\} and Przemysaw Grzegorzewski and Olgierd Hryniewicz",

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On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p. / Báez-Sánchez, Andres D.; Rojas-Medar, Marko A.
Soft Methods for Handling Variability and Imprecision. ed. / Didier Dubois; Henri Prade; Asuncion Lubiano; Maria Angeles Gil; Przemysaw Grzegorzewski; Olgierd Hryniewicz. 2008. p. 226-231 (Advances in Soft Computing; Vol. 48).

Research output: Chapter in Book/Report/Conference proceeding › Chapter › peer-review

TY - CHAP

T1 - On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p

AU - Báez-Sánchez, Andres D.

AU - Rojas-Medar, Marko A.

PY - 2008

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N2 - In this paper we present some counterexamples to a result related to fuzzy Lipschitz sets and fuzzy sets convolution. Using the concept of fuzzy triangular set of rank p is presented an alternative proof of a interesting density result over fuzzy sets which was previosly proved by using the result belied.

AB - In this paper we present some counterexamples to a result related to fuzzy Lipschitz sets and fuzzy sets convolution. Using the concept of fuzzy triangular set of rank p is presented an alternative proof of a interesting density result over fuzzy sets which was previosly proved by using the result belied.

KW - Density

KW - Fuzzy sets convolution

KW - Hausdorff metric

KW - Lipschitz fuzzy sets

KW - Triangular fuzzy sets

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SN - 9783540850267

T3 - Advances in Soft Computing

SP - 226

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BT - Soft Methods for Handling Variability and Imprecision

A2 - Dubois, Didier

A2 - Prade, Henri

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A2 - Hryniewicz, Olgierd

ER -

On fuzzy sets convolution, fuzzy Lipschitz sets and triangular fuzzy sets of rank p

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