Computation of all generalized inverses of an intuitionistic fuzzy matrix¹

Article type: Research Article

Authors: Li, Qing^{a; b; *} | Wang, Fanggui^a

Affiliations: [a] College of Mathematics and Software Science, Sichuan Normal University, Chengdu, P. R. China | [b] College of Mathematics, Chongqing Normal University, Chongqing, P. R. China

Correspondence: [*] Corresponding author. Qing Li, Tel.: +86 13541216572; Fax: +86 23 65362798; E-mail: [email protected].

Note: [1] This work is supported by NNSF of China No. [11171240]

Abstract: The generalized inverse is an important result in matrix theory. In this paper, a necessary and sufficient condition for the regularity of a given intuitionistic fuzzy matrix is provided. For regular intuitionistic fuzzy matrices, how to solve the problem of finding all generalized inverses is discussed.

Keywords: Generalized inverse, matrix, regular intuitionistic fuzzy matrix, intuitionistic fuzzy set, MR(2000) Subject Classification: 15A09

DOI: 10.3233/IFS-151800

Journal: Journal of Intelligent & Fuzzy Systems, vol. 30, no. 2, pp. 783-789, 2016