Montero de Juan, Francisco Javier and Tejada Cazorla, Juan Antonio and Yáñez Gestoso, Francisco Javier
(1994)
*General Structure Functions.*
Kybernetes, 23
(3).
pp. 10-19.
ISSN 0368-492X

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Official URL: http://www.emeraldinsight.com/journals.htm?articleid=875592&show=abstract

## Abstract

A general concept of a structure function is proposed by considering a general order topology, where possible degrees of performance for the system and its components are going to be represented. Finite multistate structure functions and continuum structures can therefore be viewed as particular cases. Gives general definitions of minimal path and minimal cut, allowing general reliability bounds based on them. These are applied to some multivalued structures.

Item Type: | Article |
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Uncontrolled Keywords: | Continuum structures |

Subjects: | Sciences > Mathematics > Operations research |

ID Code: | 15961 |

References: | Barlow, R.E. and Proschan, B., Statistical Theory of Reliability and Life Testing, To Begin With, Silver Spring, MD, 1975. Baxter, L.A., “Continuum Structures”, International Journal of Applied Probability, Vol. 21 No. 4, 1984, pp. 802-15. Baxter, L.A., Continuum Structures II, Mathematical Proceedings of the Cambridge Philosophical Society, Vol. 99 No. 2, 1986, pp. 331-8. Block, H.W. and Savits, T.W., “Continuous Multistate Structure Functions”, Operations Research, Vol. 32, 1984, pp. 703-14. Montero, J., “Coherent Fuzzy Systems”, Kybernetes, Vol. 17 No. 4, 1988, pp. 28-33. Montero, J. and Tejada, J., “Some Results on Fuzzy Systems”, in Rose, J. (Ed.), Cybernetics and Systems: The Way Ahead, Thales, Lytham St Annes, 1987, pp. 591-4. Goguen, L., “L-fuzzy Sets”, Journal of Mathematical Analysis and Applications, Vol. 18 No. 1, 1967, pp. 145-74. French, S., Decision Theory, Ellis Horwood, Chichester, 1986. Vansnick, J.C., “Intensity of Preferences”, in Sawaragi, Y., Inoue, K. and Nakayama, H. (Eds), Toward Interactive and Intelligent Decision Support Systems II, Springer-Verlag, Berlin, 1987, pp. 220-9. Willard, S., General Topology, Addison-Wesley, Reading, MA, 1970. Montero, J., “Observable Structure Functions”, Kybernetes, Vol. 22 No. 2, 1993, pp. 31-9. Montero, J., Tejada, J. and Yañez, J., ”Structural Properties of Continuum Systems”, European Journal of Operational Research, Vol. 45 Nos 2-3, 1990, pp. 231-40. |

Deposited On: | 16 Jul 2012 11:05 |

Last Modified: | 06 Feb 2014 10:35 |

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