A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems

Esmi, Estevao; Sussner, Peter; Dias Ignacio, Gustavo Barroso; de Barros, Laecio Carvalho

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

A parametrized sum of fuzzy numbers with applications to fuzzy initial value problems

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Author(s):	Esmi, Estevao ^[1] ; Sussner, Peter ^[1] ; Dias Ignacio, Gustavo Barroso ^[1] ; de Barros, Laecio Carvalho ^[1] Total Authors: 4
Affiliation:	^[1] Univ Estadual Campinas, Inst Math Stat & Sci Comp, Dept Appl Math, Campinas, SP - Brazil Total Affiliations: 1
Document type:	Journal article
Source:	FUZZY SETS AND SYSTEMS; v. 331, p. 85-104, JAN 15 2018.
Web of Science Citations:	5
Abstract
This paper presents a new parametrized family of joint possibility distributions that can be used to control the Pompeiu-Hausdorff norm of the sum resulting from the extension principle. We are able to generate sums with norms covering the entire interval ranging from the smallest possible value to the largest one. Finally, we apply our approach to numerical methods for solving first-order fuzzy initial value problems. (C) 2017 Elsevier B.V. All rights reserved. (AU)

FAPESP's process:	14/10067-8 - Theta - Fuzzy Associative Memory: Fundamentals, Extensions, and Applications
Grantee:	Estevão Esmi Laureano
Support Opportunities:	Scholarships in Brazil - Post-Doctoral

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