@article{02839d789ca0491e8a9938fc478c2d3a,
title = "Stability confidence for fuzzy matrices",
abstract = "The robust stability of interval matrices has been studied widely. In this paper, we extend the study of interval matrices to fuzzy matrices. The methods of stability analysis for an interval matrix is applied to determine the degree of stability confidence for the corresponding fuzzy matrix. Based on the work of Nguyen and Kreinovich (1994), we state two algorithms to determine the degree of stability confidence for fuzzy matrices. The degree presents the measure of the stability possibility or the stability confidence for the fuzzy matrix.",
keywords = "Fuzzy sets, Interval matrix, Stability",
author = "Wang, {Wen June} and Yan, {Shao Feng}",
note = "Funding Information: Stability analysis for both continuous-time and discrete-time interval systems has been investigated extensively. Most of the existing results are only sufficient conditions \[5, 10\] for the stability of interval matrices. Some results concern the necessary and sufficient stability conditions for the system. The necessary and sufficient conditions given by \[12\] are for the stability of one specific class of interval matrices. Furthermore, if general interval matrices are restricted to be symmetric interval matrices, \[4, 7, 8\] have presented the necessary and sufficient conditions for their stability. The problem of examining the stability of a given discrete time-variant interval system was also addressed in \[1, 3\]. In \[9, 11\], the estimation * Corresponding author. Fax: 886-3-4255830; e-mail: wjwang@ mbox.ee.ncu.edu.tw. 1 This work was supported by the National Science Council of Taiwan, R.O.C. under the Grant NSC 85-2213-E008-019.",
year = "1999",
month = may,
day = "1",
doi = "10.1016/S0165-0114(97)00163-2",
language = "???core.languages.en_GB???",
volume = "103",
pages = "507--511",
journal = "Fuzzy Sets and Systems",
issn = "0165-0114",
number = "3",
}