2023/07/24 by Branislav Boričić, Boričić, Branislav, Mirjana Ilić +3
Computer Science · Engineering · #03B52 03G05 90B25 62N05 60K10 #FOS: Computer and information sciences #FOS: Mathematics #Logic (math.LO) #Logic in Computer Science (cs.LO) #Probability (math.PR) #Reliability and Maintenance Optimization #Software Reliability and Analysis Research
paper · pdf · doi:10.48550/arxiv.2307.14357
openalex publication_date 2023/07/24 · openalex created_date 2023/07/29 · openalex updated_date 2026/07/28
In this paper we consider systems which consist of binary components with known reliabilities. We discuss their algebraic properties and define the corresponding algebraic structure, which we call the reliability algebra. We prove that the reliability algebra is a Boolean algebra. The reliability algebra seems an appropriate context for defining fuzziness measure i.e. membership function with reliability values.