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Converting a Multi-state System into a Family of Binary State Systems

Volume 11, Number 4, July 2015 - Paper 3 - pp. 329-338

FUMIO OHI

Omohi College, Nagoya Institute of Technology, Gokiso-cho, Showa-ku, Nagoya, 466-8555, JAPAN

(Received on August 31, 2014, revised on December 16, 2014)

Abstract:

In this paper we show mutual relationships between a multi-state system and a family of binary state systems and show some relationships among minimal state vectors of the systems, which give us how to construct the structure function of the multi-state system by using the structure functions of the binary state systems. But the state spaces of multi-state systems are assumed to be totally ordered set, because of simplicity for our first examination about the transformation.

 

References: 28

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