Summary
2007 International Symposium on Nonlinear Theory and its Applications
2007
Session Number:18AM1-A
Session:
Number:18AM1-A-1
A Fuzzy Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
Kazuo HORIUCHI,
pp.108-111
Publication Date:2007/9/16
Online ISSN:2188-5079
DOI:10.34385/proc.41.18AM1-A-1
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Summary:
In this paper, we shall describe about a fuzzy estimation theory based on the concept of set-valued operators, suitable for available operation of extremely 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 in a weak topology introduced into the Banach space.