eng Keywords: Imprecise data, Stress–strength probability, UMVUE All rights reserved https://phaidrabg.bg.ac.rs/o:35834 doi:10.1016/j.cam.2023.115536 ISSN: 0377-0427 info:eu-repo/semantics/article application/pdf 373619 bytes 2024 , Bojana Milošević Stanojević, Jelena Journal of Computational and Applied Mathematics volume: 438 startpage: 115536 On the estimation of fuzzy stress–strength reliability parameter 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).