A Basic Fuzzy-Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems

Kazuo HORIUCHI

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E95-A    No.1    pp.338-345
Publication Date: 2012/01/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E95.A.338
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Circuit Theory
Keyword: 
extremely complicated large-scale network system,  available operation,  fixed point theorem,  system of fuzzy-set-valued operator equations,  ball measure of non-compactness,  

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Summary: 
In this paper, we shall describe a basic 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 by the concept of Hausdorff's ball measure of non-compactness introduced into the Banach space.

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