Steady states of max-Lukasiewicz fuzzy systems

被引：4

作者：

Gavalec, Martin ^{[1
]}

Nemcova, Zuzana ^{[1
]}

机构：

[1] Univ Hradec Kralove, Fac Informat & Management, Rokitanskeho 62, Hradec Kralove 50003 3, Czech Republic

来源：

FUZZY SETS AND SYSTEMS | 2017年 / 325卷

关键词：

Fuzzy algebra; t-Norms; Max-Lukasiewicz algebra; Steady states; EIGENSPACE STRUCTURE; MATRIX;

D O I：

10.1016/j.fss.2017.02.005

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The paper gives a systematic characterization of the eigenspaces in a max-t algebra, where t is the Lukasiewicz t-norm. A max-Lukasiewicz fuzzy algebra can be used for the description of the states of discrete-event systems. The states can represent a balance between the resources expended during the run of a system (for example fuel or money). The classification of max-Lukasiewicz eigenspaces is described and illustrated by two- and three-dimensional examples: in this case it is possible to accompany the example with graphs. However, the description of the eigenspaces for higher dimensions is also outlined. (C) 2017 Elsevier B.V. All rights reserved.

引用

页码：58 / 68

页数：11

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