Convergence algorithms of fuzzy tensors

Article type: Research Article

Authors: Chen, Ling^{a; b; *} | Lu, Linzhang^{a; c}

Affiliations: [a] School of Mathematical Sciences, Guizhou Normal University, Guiyang, Guizhou, P.R. China | [b] School of Science, Shandong jianzhu University, Jinan, Shandong, P.R. China | [c] School of Mathematical Sciences, Xiamen University, Xiamen, Fujian, P.R. China

Correspondence: [*] Corresponding author. Ling Chen. E-mail: [email protected].

Abstract: In this paper, we study the convergence of fuzzy tensors. The notions of directed paths and fuzzy directed path systems are introduced. Their convergent theorems are proposed by using cut matrices principles. Also, two algorithms for identifying the convergence of fuzzy tensors are presented. Finally, numerical examples are proposed to show the feasibility of the presented methods.

Keywords: Fuzzy tensor, directed path, fuzzy directed path system

DOI: 10.3233/JIFS-161052

Journal: Journal of Intelligent & Fuzzy Systems, vol. 34, no. 3, pp. 1769-1775, 2018