Summary
International Symposium on Nonlinear Theory and its Applications
2010
Session Number:B1L-C
Session:
Number:B1L-C1
A Basic Fuzzy-Estimation Theory for Available Operation of Complicated Large-Scale Network Systems
Kazuo Horiuchi,
pp.225-228
Publication Date:2010/9/5
Online ISSN:2188-5079
Summary:
In this paper, we shall describe about a basic fuzzy-estimation theory based on the concept of set-valued operators, suitable for available operation of complicated large-scale network systems. Fundamental conditions for availability of system behaviors of such network systems are clarified in a form of β-level fixed point theorem for system of fuzzy-set-valued operators. Here, the proof of this theorem is accomplished by the concept of Hausdorff’s ball measure of non-compactness introduced into the Ba- nach space.