Volume 15 , Issue 1 , PP: 52-61, 2021 | Cite this article as | XML | PDF | Full Length Article
Kawther F. Alhasan 1 * , A.A. Salama 2 , Florentin Smarandache 3
Doi: https://doi.org/10.54216/IJNS.150105
Reliability is one of the most important indicators of the quality of any system or product, ranging from the simplest machines as a product in any factory to the most complex system, such as phone or aircraft or missile engines, etc. The accuracy of these products indicates their high reliability, and therefore the customer or business owner will have confidence in products and will request more quantity. To reach the highest level of accuracy for the reliability of any system, the corresponding data must be very accurate. For this purpose, we proposed to add accuracy to reliability by adding data that contains more pieces of information about a specific product or problem. We introduced a new logic (Neutrosophic logic) of data instead of classical logic which gives us more accuracy of data that contain indeterminacy such as extremist, vague, and unclear data. We defined the neutrosophic reliability according to the modern neutrosophic logic by constructing a neutrosophic reliability function. We have used the type of series as an application of neutrosophic reliability and introduced some examples. Neutrosophic reliability theory can be applied in computer science and decision support systems.
Neutrosophic probability, Neutrosophic Set, Neutrosophic reliability, Neutrosophic random variable, classical reliability, neutrosophic series reliability.
[1] Smarandache F., “Neutrosophical statistics”. Sitech & Education publishing, 2014.
[2] Smarndache.F., Neutropsychic Personality, Pons asbl, Belgium, first edition 118 pages, 2018; second enlarged edition, 131 p., 2018; third updated edition, 131 p., 2018.
[3] Hanafy I. M., Salama A.A., Mahfouz K. M.,” Correlation Coefficients of Neutrosophic Sets by Centroid Method”, International Journal of Probability and Statistics, 2(1), 9-12, 2013.
[4] Hanafy I. M., Salama A.A., Mahfouz K. M., “Correlation of Neutrosophic Data”, International Refereed Journal of Engineering and Science, 1(2), pp.39-43, 2012.
[5] Hanafy I. M., Salama A.A., Mahfouz K. M., “Correlation of Neutrosophic sets in probability spaces”, Journal of applied mathematics, statistics and information. 10(1), pp.45-52, 2014.
[6] Fathi Shimaa, ElGhawalby Hewayda, Salama A.A., “A neutrosophic Graph Similarity Measures”, New Trends in Neutrosophic Theory and Applications, 2016.
[7] Alhasan Kawther F, Smarandache Florentin, “Neutrosophic Weibull distribution and Neutrosophic Family Weibull Distribution” Neutrosophic Sets and Systems 28, 2019.
[8] Patro S. K., Smarandache F.,” The Neutrosophic Statistics Distribution, More Problems, More Solutions”, Neutrosophic Sets and Systems, Vol. 12, 2016.
[9] Salama A.A., Smarandache F,” Neutrosophic Crisp Set Theory”, Education Publishing, Columbus, 2015.
[10] Smarandache F., “Neutrosophy and Neutrosophic Logic, First International Conference on Neutrosophy, Neutrosophic Logic, Set, Probability, and Statistics” University of New Mexico, Gallup, USA, 2002.
[11] Smarandache F., “A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability”, American Research Press, Rehoboth, NM, 1999.
[12] Smarandache F., “Introduction to Neutrosophic Measure, Integral, Probability”, Sitech Education Publisher, 2015.
[13] Alhabib, Rafif; Moustafa Mzher Ranna; Haitham Farah, Salama A. A.., "Some Neutrosophic Probability Distributions. Neutrosophic Sets and Systems vol 22, pp. 30-38. 2018.
[14] Alhabib, Rafif, Salama A. A., "The Neutrosophic Time Series-Study Its Models Linear-Logarithmic) and test the Coefficients Significance of Its linear model" Neutrosophic Sets and Systems, Vol. 33.pp105-115. 2020.
[15] Kailash C. Kapur and Michael Pecht, reliability engineering, New Jersey, Canada, 2014.
[16] Smarandache F, W. B. Vasantha Kandasamy, Neutrosophic graphs: A new dimension to graph theory, EuropaNova, 2015.
[17] Belal Amin, A. A. Salama, I. M. El-Henawy, Khaled Mahfouz, Mona G. Gafar, "Intelligent Neutrosophic Diagnostic System for Cardiotocography Data", Computational Intelligence and Neuroscience, vol. 2021, Article ID 6656770, 12 pages, 2021.
[18] Ibrahim Yasser, Abeer Twakol, A. A. Abd El-Khalek, Ahmed Samrah and A. A. Salama, COVID-X: Novel Health-Fog Framework Based on Neutrosophic Classifier for Confrontation Covid-19, Neutrosophic Sets and Systems, vol. 35, pp. 1-21, 2020.
[19] Salama A. A., Sharaf Al-Din Ahmed, Issam Abu Al-Qasim, Alhabib Rafif, Badran Magdy, “Introduction to Decision Making for Neutrosophic Environment “Study on the Suez Canal Port, Egypt”, Neutrosophic Sets and Systems, vol. 35, pp.22-44, 2020.
[20] El Wahsh, H., Gamal, M., Salama, A., & El-Henawy, I., “Intrusion detection system and neutrosophic theory for MANETs: A comparative study”, Neutrosophic Sets and Systems, 23, pp16-22, 2018.
[21] Salama A. A., Smarandache Florentin, ElGhawalby Hewayda, ”Neutrosophic Approach to Grayscale Images Domain”, Neutrosophic Sets and Systems, vol. 21, pp. 13-19, 2018.
[22] ELwahsha Haitham, Gamala Mona, Salama A. A., El-Henawy I.M.,” Modeling Neutrosophic Data by Self-Organizing Feature Map: MANETs Data Case Study”, Procida Computer, Vol.121, pp152-157, 2017.
[23] Salama A. A., El-Ghareeb Haitham A., Ayman M. Manie, Smarandache Florentin, “Introduction to Develop Some Software Programs for Dealing with Neutrosophic Sets”, Neutrosophic Sets and Systems, vol. 3, pp. 51-52, 2014.
[24] Ahmed B. AL-Nafee, Florentin Smarandache, A. A. Salama,” New Types of Neutrosophic Crisp Closed Sets”, Neutrosophic Sets and Systems, vol. 36, pp. 175-183, 2020.
[25] Salama A.A., Eisa M., ElGhawalby H., Fawzy A.E.,” A New Approach in Content-Based Image Retrieval Neutrosophic Domain” In Kahraman C., Otay İ. (eds) Fuzzy Multi-criteria Decision-Making Using Neutrosophic Sets. Studies in Fuzziness and Soft Computing, vol 369, pp.361-369, 2019.
[26] El Wahsh, H., Gamal, M., Salama, A., El-Henawy, I.,” A novel approach for classifying MANETs attacks with authors declare no conflict of interest.”
[27] S.Broumi, M. Talea. A. Bakkali and F.Samarandache, Single Valued Neutrosophic Graph, Journal of New theory, N 10, 86-101, 2016.
[28] S.Broumi, Mohamed T, Assis B, and Florentin, Single valued neutrosophic graphs, journal of new theory.No 10.P: 86-101,2016.
[29] S.Broumi, Mohamed T, Assis B, and Florentin, On bipolar single-valued neutrosophic graphs, journal of new theory.No 11.P: 86-101,2016.
[30] Hoang Pham, Handbook of Reliability Engineering, Rutgers University Piscataway New Jersey, USA,2003.
[31] S.Broumi, M. Talea. A. Bakkali and F.Samarandache, Single Valued Neutrosophic Graph, IEEE international conference on fuzzy systems, 2016.
[32] Florentin S, Dragisa S and Darjan K, An Approach for Assessing the Reliability of Data Contained in a Single Valued Neutrosophic Number. 4th International scientific conference Innovation as an initiator of the development – MEFkon 2019.
[33] Florentin S, Dragisa S, Darjan K, and Gabrijela P. A novel approach for assessing the reliability of data contained in a single-valued neutrosophic number and its application in multiple criteria decision making, international journal of neutrosophic science, Vol. 11, No.1, pp 22-92, 2020.
[34] S.Broumi, F.Samarandache,M. Talea. A. Bakkali and, Single Valued Neutrosophic Graph, Applied Mechanics and Materials,2016.
[35] Kuo, W, and Zuo, M, Optimal reliability modeling: principle and application, John Wiley and Sonc, Inc., New Jersey, 2003.
