H-continuity of fuzzy measures and set defuzzification

H. Román-Flores; Y. Chalco-Cano

doi:10.1016/j.fss.2005.06.008

H-continuity of fuzzy measures and set defuzzification

H. Román-Flores
, Y. Chalco-Cano

Department of Mathematics

Universidad de Tarapacá

Research output: Contribution to journal › Article › peer-review

48 Scopus citations

Abstract

The purpose of this work is to analyze the continuity of fuzzy measures with respect to the Hausdorff metric on K(Rn), the class of all nonempty compact subsets of Rn. As an application, we study the continuity of set defuzzification processes on Rn which are defined by Aumann integral methods.

Original language	English
Pages (from-to)	230-242
Number of pages	13
Journal	Fuzzy Sets and Systems
Volume	157
Issue number	2
DOIs	https://doi.org/10.1016/j.fss.2005.06.008
State	Published - 16 Jan 2006

Keywords

Defuzzification
Fuzzy measure
Fuzzy set
Hausdorff metric

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10.1016/j.fss.2005.06.008

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abstract = "The purpose of this work is to analyze the continuity of fuzzy measures with respect to the Hausdorff metric on K(Rn), the class of all nonempty compact subsets of Rn. As an application, we study the continuity of set defuzzification processes on Rn which are defined by Aumann integral methods.",

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AU - Chalco-Cano, Y.

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N2 - The purpose of this work is to analyze the continuity of fuzzy measures with respect to the Hausdorff metric on K(Rn), the class of all nonempty compact subsets of Rn. As an application, we study the continuity of set defuzzification processes on Rn which are defined by Aumann integral methods.

AB - The purpose of this work is to analyze the continuity of fuzzy measures with respect to the Hausdorff metric on K(Rn), the class of all nonempty compact subsets of Rn. As an application, we study the continuity of set defuzzification processes on Rn which are defined by Aumann integral methods.

KW - Defuzzification

KW - Fuzzy measure

KW - Fuzzy set

KW - Hausdorff metric

UR - https://www.scopus.com/pages/publications/27644552294

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DO - 10.1016/j.fss.2005.06.008

M3 - Article

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SP - 230

EP - 242

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 2

ER -

H-continuity of fuzzy measures and set defuzzification

Abstract

Keywords

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