ABSTRACT This paper proposes a weighted intuitionistic fuzzy Weibull (WIFW) approach for reliability assessment of non‐series‐parallel systems under uncertainty. The method integrates path tracing with the (α,β)‐cut technique in an intuitionistic fuzzy environment. Unlike conventional fuzzy models that use only membership values, the proposed framework incorporates both membership and non‐membership information of component failures through intuitionistic fuzzy Weibull hazard rates. The scale and shape parameters are considered as triangular intuitionistic fuzzy numbers (TIFNs) to capture uncertainty in failure behavior. A key contribution is the weighted unified hazard function, where weights are derived from the spread of fuzzy parameters, giving higher influence to hazard rates with greater precision. Using this formulation, interval‐based measures of system reliability and Mean Time to System Failure (MTSF) are obtained. The approach is demonstrated on a Resistor–Inductor–Capacitor (RLC) system, with numerical and graphical results validating its applicability to systems with identical and non‐identical components.
Malik et al. (Sun,) studied this question.