o:35834 On the estimation of fuzzy stress–strength reliability parameter en a b s t r a c t In this paper, we introduce a novel, more interpretative, membership function that can be used for the definition of fuzzy stress–strength reliability parameter R of a twocomponent system. We find the MLEs and UMVUEs point estimators of R, as well as the asymptotic and bootstrap interval estimators. In the wide empirical study for the case when both components are exponentially distributed, we examine the properties of introduced estimators. We also explore the impact of the membership function on the quality of estimators. The work of B. Milošević and J. Stanojević is supported by the Ministry of Science, Technological Development and Innovations of the Republic of Serbia (the contracts 451-03-47/2023-01/200104 and 174020 respectively). The work of B. Milošević is also supported by the COST action CA21163 - Text, functional and other high-dimensional data in econometrics: New models, methods, applications (HiTEc). Keywords: Imprecise data, Stress–strength probability, UMVUE 1552101 0377-0427 1552099 10.1016/j.cam.2023.115536 2025-02-05T14:21:09.354Z 44 no 46 Bojana Milošević Jelena Stanojević Univerzitet u Beogradu Ekonomski fakultet person 0000-0001-5668-5297 application/pdf 373619 https://phaidrabg.bg.ac.rs/o:35834 no yes 1 70 1552253 11A03 Journal of Computational and Applied Mathematics 438 115536 2024