A new type of approximation for fuzzy intervals

Y. Chalco-Cano; H. Román-Flores; Fernando Gomide

doi:10.1016/j.fss.2007.12.025

A new type of approximation for fuzzy intervals

Y. Chalco-Cano
, H. Román-Flores
, Fernando Gomide

Department of Mathematics

Universidad de Tarapacá
Universidade Estadual de Campinas

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

8 Scopus citations

Abstract

This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

Original language	English
Pages (from-to)	1376-1383
Number of pages	8
Journal	Fuzzy Sets and Systems
Volume	159
Issue number	11
DOIs	https://doi.org/10.1016/j.fss.2007.12.025
State	Published - 1 Jun 2008

Keywords

Approximation
Convolution of fuzzy sets
Differentiable fuzzy intervals
Fuzzy intervals

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10.1016/j.fss.2007.12.025

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title = "A new type of approximation for fuzzy intervals",

abstract = "This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.",

keywords = "Approximation, Convolution of fuzzy sets, Differentiable fuzzy intervals, Fuzzy intervals",

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

year = "2008",

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T1 - A new type of approximation for fuzzy intervals

AU - Chalco-Cano, Y.

AU - Román-Flores, H.

AU - Gomide, Fernando

PY - 2008/6/1

Y1 - 2008/6/1

N2 - This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

AB - This paper suggests a new method to approximate a fuzzy interval u by a sequence of differentiable fuzzy intervals. This new approximation method involves the construction of differentiable fuzzy intervals using the sup-min convolution of fuzzy sets. Numerical examples and an algorithm for computational implementation of the method proposed are also given.

KW - Approximation

KW - Convolution of fuzzy sets

KW - Differentiable fuzzy intervals

KW - Fuzzy intervals

UR - https://www.scopus.com/pages/publications/41549123278

U2 - 10.1016/j.fss.2007.12.025

DO - 10.1016/j.fss.2007.12.025

M3 - Article

AN - SCOPUS:41549123278

SN - 0165-0114

VL - 159

SP - 1376

EP - 1383

JO - Fuzzy Sets and Systems

JF - Fuzzy Sets and Systems

IS - 11

ER -

A new type of approximation for fuzzy intervals

Abstract

Keywords

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