Cutello, VincenzoMontero De Juan, Francisco JavierYáñez Gestoso, Francisco Javier2023-06-202023-06-201996Cutello, V., Montero, J., Yáñez, J.: Structure functions with fuzzy states. Fuzzy Sets and Systems. 83, 189-202 (1996). https://doi.org/10.1016/0165-0114(95)00390-80165-011410.1016/0165-0114(95)00390-8https://hdl.handle.net/20.500.14352/57634Systems are modeled in Reliability Theory by means of Structure Functions, which show how the system state of performance depends on the state of all its components. In this paper we consider that the space of states allowed for both the system and its components is an appropriate family of fuzzy numbers. Basic concepts in classical crisp binary and multistate models in Reliability Theory are in this way generalized. Some particular consequences relative to component importance are also analyzed.engjournal articlehttps//doi.org/10.1016/0165-0114(95)00390-8http://www.sciencedirect.com/science/article/pii/0165011495003908restricted access519.8510.64Reliability theoryStructure functionsFuzzy numbersInvestigación operativa (Matemáticas)Lógica simbólica y matemática (Matemáticas)1207 Investigación Operativa1102.14 Lógica Simbólica