Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces

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Küçük Resim

Tarih

2022

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

SPRINGER HEIDELBERG

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Özet

In this paper, considering fuzzy measure theory and matrix-valued fuzzy norm spaces, we study a differential system of non-autonomous cellular neural networks with mixed delays (NA-CNN-MD). Our main goal is to investigate the existence of a unique solution for the presented system of NA-CNN-MD in the matrix-valued fuzzy spaces and using the fuzzy measure. After investigating the existence of a unique solution of NA-CNNs-MD which are rho-pseudo almost periodically, we prove the Mittag-Leffler stability and Mittag-Leffler attractiveness for rho-pseudo almost periodic functions. Finally, two examples are given to illustrate the theoretical results.

Açıklama

Anahtar Kelimeler

Cellular Neural Networks, Fuzzy Measure, Sugeno Fuzzy İntegral, Rho-Pseudo Almost Periodic Function, Mittag-Leffler Stability, Mixed Delays, MVFN-Spaces

Kaynak

COMPUTATIONAL & APPLIED MATHEMATICS

WoS Q Değeri

Q1

Scopus Q Değeri

Q2

Cilt

41

Sayı

8

Künye

Eidinejad, Z., Saadati, R., & Allahviranloo, T. (2022). Attractiveness of pseudo almost periodic solutions for delayed cellular neural networks in the context of fuzzy measure theory in matrix-valued fuzzy spaces. Computational and Applied Mathematics, 41(8), 1-34.