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.
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Kazuo HORIUCHI, "A Fuzzy Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems" in IEICE TRANSACTIONS on Fundamentals,
vol. E91-A, no. 9, pp. 2396-2402, September 2008, doi: 10.1093/ietfec/e91-a.9.2396.
Abstract: 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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1093/ietfec/e91-a.9.2396/_p
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@ARTICLE{e91-a_9_2396,
author={Kazuo HORIUCHI, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={A Fuzzy Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems},
year={2008},
volume={E91-A},
number={9},
pages={2396-2402},
abstract={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.},
keywords={},
doi={10.1093/ietfec/e91-a.9.2396},
ISSN={1745-1337},
month={September},}
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TY - JOUR
TI - A Fuzzy Estimation Theory for Available Operation of Extremely Complicated Large-Scale Network Systems
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2396
EP - 2402
AU - Kazuo HORIUCHI
PY - 2008
DO - 10.1093/ietfec/e91-a.9.2396
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E91-A
IS - 9
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - September 2008
AB - 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.
ER -