Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation.
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| Title: | Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation. |
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| 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] |
| Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Links: – Type: pdflink Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 194195894 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Odat%2C+Naser%22">Odat, Naser</searchLink><relatesTo>1</relatesTo><i> nodat@jadara.edu.jo</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22IAENG+International+Journal+of+Applied+Mathematics%22">IAENG International Journal of Applied Mathematics</searchLink>. Jun2026, Vol. 56 Issue 6, p2044-2052. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Fuzzy+logic%22">Fuzzy logic</searchLink><br /><searchLink fieldCode="DE" term="%22Reliability+in+engineering%22">Reliability in engineering</searchLink><br /><searchLink fieldCode="DE" term="%22Distribution+%28Probability+theory%29%22">Distribution (Probability theory)</searchLink><br /><searchLink fieldCode="DE" term="%22Confidence+intervals%22">Confidence intervals</searchLink><br /><searchLink fieldCode="DE" term="%22Interval+analysis%22">Interval analysis</searchLink><br /><searchLink fieldCode="DE" term="%22Engineering+reliability+theory%22">Engineering reliability theory</searchLink><br /><searchLink fieldCode="DE" term="%22Mean+square+algorithms%22">Mean square algorithms</searchLink><br /><searchLink fieldCode="DE" term="%22Parameter+estimation%22">Parameter estimation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of IAENG International Journal of Applied Mathematics is the property of International Association of Engineers (IAENG) and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 2044 Subjects: – SubjectFull: Fuzzy logic Type: general – SubjectFull: Reliability in engineering Type: general – SubjectFull: Distribution (Probability theory) Type: general – SubjectFull: Confidence intervals Type: general – SubjectFull: Interval analysis Type: general – SubjectFull: Engineering reliability theory Type: general – SubjectFull: Mean square algorithms Type: general – SubjectFull: Parameter estimation Type: general Titles: – TitleFull: Modeling Exponential Stress-Strength Reliability: A Novel Fuzzy Approach with Neutrosophic Interval Estimation. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Odat, Naser IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 06 Text: Jun2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 19929978 Numbering: – Type: volume Value: 56 – Type: issue Value: 6 Titles: – TitleFull: IAENG International Journal of Applied Mathematics Type: main |
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