TITLE:
Fuzzy Henstock-Kurzweil Triple Integral on a Type 1 Quasi-Fuzzy Parallelepipedal Domain
AUTHORS:
Kumwimba Seya Didier, Kasongo Ntambwe Dany, Panga Lutanda Grégoire, Mayuke Katshongo Jean Paul, Lunda Ngoy Jean Pierre
KEYWORDS:
Fuzzy-Valued Function, Hausdorff Distance, Quasi-Fuzzy Parallelipiped, Henstock Integral
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.12 No.3,
March
29,
2024
ABSTRACT: In this article, we propose by using the Hausdorff distance Simpson’s rule for the triple integral of a fuzzy-valued function and the error bound of this method, one of the variables of which is fuzzy. In addition, thin δ-fine partitions are introduced. The integration domain is a quasi-fuzzy parallelipiped. A numerical example is presented in order to show the application and the significance of the method.