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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.

- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E91-A No.9 pp.2396-2402

- Publication Date
- 2008/09/01

- Publicized

- Online ISSN
- 1745-1337

- DOI
- 10.1093/ietfec/e91-a.9.2396

- Type of Manuscript
- Special Section PAPER (Special Section on Nonlinear Theory and its Applications)

- Category
- Nonlinear System Theory

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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 -