RT Book, Section T1 The Usefulness of Complete Lattices in Reliability Theory A1 Montero De Juan, Francisco Javier A1 Cappelle, Bart A1 Kerre, Etienne E. A2 Onisawa, Takehisa A2 Kacprzyk, Janusz AB The main aim of this paper is to show how lattice theory in the very next future will be a useful tool in analysing complex real reliability problems, not properly modelled within classical reliability theory. The introduction of a complete lattice as a state space appears not only of theoretical importance that allows to understand several phenomena with respect to reliability theory better, but as a need claimed from practical engineering. Two important topics are discussed in this general framework: incomparability of component and system states and the duality principle. The strong relationship between the ideas of fuzzy set theory and the ideas that led to the introduction of the theory of multistate structure functions will become clear. PB Physica-Verlag HD SN 978-3-662-12913-5 YR 1995 FD 1995 LK https://hdl.handle.net/20.500.14352/60893 UL https://hdl.handle.net/20.500.14352/60893 LA eng NO Onisawa, T., Kacprzyk, J. eds: Reliability and Safety Analyses under Fuzziness. Physica-Verlag HD, Heidelberg (1995) DS Docta Complutense RD 17 abr 2025