| Texto completo | |
| Autor(es): |
Esmi, Estevao
;
de Barros, Laecio Carvalho
;
Wasques, Vinicius Francisco
;
Kearfott, RB
;
Batyrshin, I
;
Reformat, M
;
Ceberio, M
;
Kreinovich, V
Número total de Autores: 8
|
| Tipo de documento: | Artigo Científico |
| Fonte: | FUZZY TECHNIQUES: THEORY AND APPLICATIONS; v. 1000, p. 12-pg., 2019-01-01. |
| Resumo | |
This paper investigates some fundamental questions involving additions of interactive fuzzy numbers. The notion of interactivity between two fuzzy numbers, say A and B, is described by a joint possibility distribution J. One can define a fuzzy number A+B-J (or A-B-J), called J-interactive sum (or difference) of A and B, in terms of the sup-J extension principle of the addition (or difference) operator of the real numbers. In this article we address the following three questions: (1) Given fuzzy numbers B and C, is there a fuzzy number X and a joint possibility distribution J of X and B such that X + B-J = C? (2) Given fuzzy numbers A, B, and C, is there a joint possibility distribution J of A and B such that A+B-J = C? (3) Given a joint possibility distribution J of fuzzy numbers A and B, is there a joint possibility distribution N of (A + B-J) and B such that (A + B-J) - B-N = A? It is worth noting that these questions are trivially answered in the case where the fuzzy numbers A, B and C are real numbers, since the fuzzy arithmetic + J and - N are extension of the classical arithmetic for real numbers. (AU) | |
| Processo FAPESP: | 16/26040-7 - Cálculo diferencial e integral baseado aritmética de números fuzzy interativos |
| Beneficiário: | Estevão Esmi Laureano |
| Modalidade de apoio: | Auxílio à Pesquisa - Regular |