IEICE TRANSACTIONS on Fundamentals
A Basic Fuzzy-Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
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
Authors
Keyword
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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://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E95.A.338/_p
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@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 -
English
