A generalization on the approximation of compact fuzzy sets

Y. Chalco-Cano; H. Román-Flores; A. Flores-Franulic

doi:10.1109/NAFIPS.2010.5548417

A generalization on the approximation of compact fuzzy sets

Y. Chalco-Cano
, H. Román-Flores
, A. Flores-Franulic

Department of Mathematics

Universidad de Tarapacá

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

Abstract

In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.

Original language	English
Title of host publication	2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010
DOIs	https://doi.org/10.1109/NAFIPS.2010.5548417
State	Published - 2010
Event	2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 - Toronto, ON, Canada Duration: 12 Jul 2010 → 14 Jul 2010

Publication series

Name	Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

Conference

Conference	2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010
Country/Territory	Canada
City	Toronto, ON
Period	12/07/10 → 14/07/10

Keywords

Convolution of fuzzy sets
Fuzzy intervals
Lipschitz fuzzy sets
Terms-Compact fuzzy sets

Access to Document

10.1109/NAFIPS.2010.5548417

Cite this

Chalco-Cano, Y., Román-Flores, H., & Flores-Franulic, A. (2010). A generalization on the approximation of compact fuzzy sets. In 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010 Article 5548417 (Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS). https://doi.org/10.1109/NAFIPS.2010.5548417

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title = "A generalization on the approximation of compact fuzzy sets",

abstract = "In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.",

keywords = "Convolution of fuzzy sets, Fuzzy intervals, Lipschitz fuzzy sets, Terms-Compact fuzzy sets",

author = "Y. Chalco-Cano and H. Rom{\'a}n-Flores and A. Flores-Franulic",

year = "2010",

doi = "10.1109/NAFIPS.2010.5548417",

language = "English",

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series = "Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS",

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note = "2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010 ; Conference date: 12-07-2010 Through 14-07-2010",

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Chalco-Cano, Y, Román-Flores, H & Flores-Franulic, A 2010, A generalization on the approximation of compact fuzzy sets. in 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010., 5548417, Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010, Toronto, ON, Canada, 12/07/10. https://doi.org/10.1109/NAFIPS.2010.5548417

A generalization on the approximation of compact fuzzy sets. / Chalco-Cano, Y.; Román-Flores, H.; Flores-Franulic, A.
2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010. 2010. 5548417 (Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS).

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

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AU - Román-Flores, H.

AU - Flores-Franulic, A.

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N2 - In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.

AB - In this paper we present an approximation for a compact fuzzy set by a sequence of Lipschitz fuzzy sets. For this, given a compact fuzzy set, we construct a sequence of Lipschitz fuzzy sets using the sup-min-convolution which converge in Dmetric to the compact fuzzy set original. The results obtained in this paper are a generalization of previous result obtained by the authors.

KW - Convolution of fuzzy sets

KW - Fuzzy intervals

KW - Lipschitz fuzzy sets

KW - Terms-Compact fuzzy sets

UR - https://www.scopus.com/pages/publications/77956604045

U2 - 10.1109/NAFIPS.2010.5548417

DO - 10.1109/NAFIPS.2010.5548417

M3 - Conference contribution

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SN - 9781424478576

T3 - Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS

BT - 2010 Annual Meeting of the North American Fuzzy Information Processing Society, NAFIPS'2010

T2 - 2010 Annual North American Fuzzy Information Processing Society Conference, NAFIPS'2010

Y2 - 12 July 2010 through 14 July 2010

ER -

A generalization on the approximation of compact fuzzy sets

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Publication series

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Keywords

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