Stability of fuzzy dynamical systems based on quasi-level-wise system

Article type: Research Article

Authors: Khatua, Debnarayan^{a; b} | Maity, Kalipada^{c; *}

Affiliations: [a] Department of Basic Science and Humanities, Global Institute of Science Technology, Haldia, West Bengal, India | [b] Department of Mathematics, National Institute of Technology, Durgapur, West Bengal, India | [c] Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Bhupatinagar, West Bengal, India

Correspondence: [*] Corresponding author. Kalipada Maity, Department of Mathematics, Mugberia Gangadhar Mahavidyalaya, Bhupatinagar, Purba Medinipur-721 425, West Bengal, India. E-mail: kalipada_maity@yahoo.co.in.

Abstract: In this article, we have proposed a new approach on the stability of a fuzzy dynamical system (FDS). Initially, we tried interval mathematics on FDS to check the stability. But when the interval mathematics fails, we have applied the quasi-level-wise system using the operators “e” and “g” and it appears that, this is the best technique to convert the unstable FDS to stable systems. Finally, the said technique is applied on different kinds of FDS and respective numerical results are presented in tabular and graphical form.

Keywords: Fuzzy dynamical system, stability, quasi-level-wise system, autonomous/non-autonomous system

DOI: 10.3233/JIFS-17165

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 6, pp. 3515-3528, 2017