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

Kazuo HORIUCHI

doi:10.1587/transfun.E95.A.338

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

Kazuo HORIUCHI

Full Text Views

0

Share
Cite this

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.

Publication: IEICE TRANSACTIONS on Fundamentals Vol.E95-A No.1 pp.338-345

Publication Date: 2012/01/01

Publicized

Online ISSN: 1745-1337

DOI: 10.1587/transfun.E95.A.338

Type of Manuscript: PAPER

Category: Circuit Theory

Cite this

Copy

Kazuo HORIUCHI, "A Basic Fuzzy-Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems" in IEICE TRANSACTIONS on Fundamentals, vol. E95-A, no. 1, pp. 338-345, January 2012, doi: 10.1587/transfun.E95.A.338.
Abstract: 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.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.338/_p

Copy

@ARTICLE{e95-a_1_338,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Basic Fuzzy-Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems},
year={2012},
volume={E95-A},
number={1},
pages={338-345},
abstract={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.},
keywords={},
doi={10.1587/transfun.E95.A.338},
ISSN={1745-1337},
month={January},}

Copy

TY - JOUR
TI - A Basic Fuzzy-Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 338
EP - 345
AU - Kazuo HORIUCHI
PY - 2012
DO - 10.1587/transfun.E95.A.338
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E95-A
IS - 1
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - January 2012
AB - 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.
ER -