2022/07/15 by Kleber Soares Camara, Camara, Kleber Soares
Computer Science · Decision Sciences · Mathematics · #FOS: Mathematics #Fuzzy Systems and Optimization #Multi-Criteria Decision Making #Probability (math.PR) #Rough Sets and Fuzzy Logic
paper · pdf · doi:10.48550/arxiv.2207.07655
openalex publication_date 2022/07/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, which was inspired by the article [2] by M. V. Velasco and A. R. Villena, we obtain a characterization for probably continuous operators and show that the probability of a linear random operator being continuous coincides with the probability of having a closed graph. Furthermore, we laid the foundations to start a new branch of mathematics, namely, Random Analysis.