Neutrosophic reliability analysis of high-pass filter-based NSP  systems with dynamic failure rates

Supriya; Ankita; Deepak Kumar

Authors

Supriya Department of Mathematics ; D.S.B. Campus, Kumaun University, Nainital–263002, India;
Ankita Department of Mathematics; D.S.B. Campus, Kumaun University, Nainital–263002, India;
Deepak Kumar Dr. Deepak Kumar, Department of Mathematics ; D.S.B. Campus, Kumaun University Nainital–263002, India ;

Keywords:

Non-series-parallel (NSP) system; high-pass filter reliability; triangular neutrosophic fuzzy num bers; rayleigh failure distribution; mean time to system failure (MTSF)

Abstract

This paper presents a reliability evaluation framework for non-series-parallel (NSP) systems based
on high-pass filter configurations, utilizing triangular single-valued neutrosophic fuzzy numbers (TrSV NNs)
and dynamic rayleigh failure distributions. The system is modeled with resistors, capacitors, and operational
amplifiers in an interdependent NSP structure. To manage uncertainty, failure rates are expressed through
TrSVNNs and analyzed using the (α,β,γ)-cut technique. The mean time to system failure (MTSF) is evalu
ated for both identical and non-identical components. In the non-identical case, the fuzzy MTSF ranges from
[18.98, 38.73] with a representative value of 28.85, while in the identical case, it spans [62.93,102.67] with a
representative value of 82.80. These results show a significant improvement in reliability modeling over tradi
tional fuzzy and intuitionistic models, which lack explicit handling of indeterminacy and conflicting data. By
incorporating all three dimensions of uncertainty truth, indeterminacy, and falsity the proposed neutrosophic
approach better captures system ambiguity and time-varying degradation, thus providing a more robust relia
bility assessment for complex systems

DOI: 10.5281/zenodo.16934471