On the Axiomatic Theory of Multistate Coherent Structures.
PITTSBURGH UNIV PA INST FOR STATISTICS AND APPLICATIONS
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Mathematical models for multistate reliability systems of multistate components have been proposed by Barlow and Wu 1978, El Neweihi et al 1978 and Griffiths 1981. Unlike the approach used by Barlow and Wu, the other authors preferred to establish their classes of models through sets of axioms, all extending the early binary notions and all containing as special cases the class of models suggested by Barlow and Wu. Since the Barlow and Wu approach is essentially set theoretic, and since in the other two approaches these models were not characterized among the larger classes, one question that arises is whether these models can be characterized by a set of axioms in the same way as their counterparts. In this paper we do just that and obtain a better understanding of Barlow and Wu models. Author
- Theoretical Mathematics
- Manufacturing and Industrial Engineering and Control of Production Systems