Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation.

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Bibliographic Details
Title:	Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation.
Authors:	Odat, Naser¹ nodat@jadara.edu.jo
Source:	IAENG International Journal of Applied Mathematics. Jun2026, Vol. 56 Issue 6, p2044-2052. 9p.
Subjects:	Fuzzy logic, Reliability in engineering, Distribution (Probability theory), Confidence intervals, Interval analysis, Engineering reliability theory, Mean square algorithms, Parameter estimation
Abstract:	A new approach for the estimation of stressstrength reliability using the fuzzy-neutrosophic approach is proposed in this paper. The proposed approach is based on two main innovations: the use of a smooth fuzzy membership function for the estimation of the degree of excess of strength over stress, which results in a graded estimator Rf; and the use of neutrosophic intervals for the estimation of the parameter uncertainties, which results in the interval estimator RN [RL,RU]. The proposed approach has been validated using intensive simulations, and the results have shown that the proposed approach has the ability to reduce the mean squared error by as much as 56% when compared with the classical maximum likelihood estimation approach. Furthermore, the neutrosophic intervals are 25-60% narrower than conventional confidence intervals while maintaining valid coverage probabilities. The proposed approach has the ability to provide more realistic, conservative, and transparent results when compared with the classical approach. The practical applicability of the proposed approach has been demonstrated using two real-world case studies: jute fiber breaking strength data and insulating fluid failure time data. In both cases, the fuzzy-neutrosophic framework yields reliability assessments that are more informative for engineering decision-making under uncertainty. [ABSTRACT FROM AUTHOR]
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Database:	Engineering Source

Description
Abstract:	A new approach for the estimation of stressstrength reliability using the fuzzy-neutrosophic approach is proposed in this paper. The proposed approach is based on two main innovations: the use of a smooth fuzzy membership function for the estimation of the degree of excess of strength over stress, which results in a graded estimator Rf; and the use of neutrosophic intervals for the estimation of the parameter uncertainties, which results in the interval estimator RN [RL,RU]. The proposed approach has been validated using intensive simulations, and the results have shown that the proposed approach has the ability to reduce the mean squared error by as much as 56% when compared with the classical maximum likelihood estimation approach. Furthermore, the neutrosophic intervals are 25-60% narrower than conventional confidence intervals while maintaining valid coverage probabilities. The proposed approach has the ability to provide more realistic, conservative, and transparent results when compared with the classical approach. The practical applicability of the proposed approach has been demonstrated using two real-world case studies: jute fiber breaking strength data and insulating fluid failure time data. In both cases, the fuzzy-neutrosophic framework yields reliability assessments that are more informative for engineering decision-making under uncertainty. [ABSTRACT FROM AUTHOR]
ISSN:	19929978