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Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval

by Gaurav Kumar, Rakesh Kumar Bajaj
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International Journal of Applied Information Systems
Foundation of Computer Science (FCS), NY, USA
Volume 7 - Number 7
Year of Publication: 2014
Authors: Gaurav Kumar, Rakesh Kumar Bajaj
10.5120/ijais14-451212

Gaurav Kumar, Rakesh Kumar Bajaj . Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval. International Journal of Applied Information Systems. 7, 7 ( August 2014), 1-7. DOI=10.5120/ijais14-451212

@article{ 10.5120/ijais14-451212,
author = { Gaurav Kumar, Rakesh Kumar Bajaj },
title = { Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval },
journal = { International Journal of Applied Information Systems },
issue_date = { August 2014 },
volume = { 7 },
number = { 7 },
month = { August },
year = { 2014 },
issn = { 2249-0868 },
pages = { 1-7 },
numpages = {9},
url = { https://www.ijais.org/archives/volume7/number7/665-1212/ },
doi = { 10.5120/ijais14-451212 },
publisher = {Foundation of Computer Science (FCS), NY, USA},
address = {New York, USA}
}
%0 Journal Article
%1 2023-07-05T18:55:15.111096+05:30
%A Gaurav Kumar
%A Rakesh Kumar Bajaj
%T Intuitionistic Fuzzy Reliability of k-out-of-n System using Statistical Confidence Interval
%J International Journal of Applied Information Systems
%@ 2249-0868
%V 7
%N 7
%P 1-7
%D 2014
%I Foundation of Computer Science (FCS), NY, USA
Abstract

In the present communication, some new arithmetic operations on intuitionistic fuzzy numbers using the -cut method are introduced. A new methodology based on intuitionistic fuzzy confidence interval has been provided for analyzing the intuitionistic fuzzy system reliability of k-out-of-n system (particularly, series and parallel system), where the reliability of each component of each system is unknown. The reliability of each component of the system using the intuitionistic fuzzy statistical sample data using the -cuts of (1 . . )100% approach is estimated to compute the system reliability. Further, based on the estimated reliability of the components obtained, the intuitionistic fuzzy reliability of the system has been finally calculated using the minimal path sets approach.

References
  1. T. Onisawa and J. Kacprzyk, "Reliability and Safety Analyses Under Fuzziness," Physica-Verlag (Springer), vol. 4, Heidelberg, 1995.
  2. Cai K. Y. , Wen C. Y. , and Zhang M. L. , "Fuzzy variables as a Basis for a Theory of Fuzzy Reliability in the Possibility Context," Fuzzy Sets and Systems, vol. 42, pp. 145–172, 1991.
  3. K. Y. Cai, C. Y. Wen and M. L. Zhang, "Coherent Systems in Profust Reliability Theory," in: Reliability and Safety Analyzes Under Fuzziness, Heidelberg: Physica-Verlag, pp. 81- 94, 1995.
  4. D. Singer, "A Fuzzy Set Approach to Fault Tree and Reliability Analysis," Fuzzy Sets and Systems, vol. 34, 145–155, 1990.
  5. C. H. Cheng and D. L. Mon, "Fuzzy System Reliability Analysis by Interval of Confidence," Fuzzy Sets and Systems, vol. 56, pp. 29–35, 1993.
  6. S. M. Chen, "Fuzzy System Reliability Analysis using Fuzzy Number Arithmetic Operations," Fuzzy Sets and Systems, vol. 64, pp. 31–38, 1994.
  7. Atanassov K. T. , "Intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 20(1), pp. 87-96, 1986.
  8. Atanassov K. T. and Gargov G. , "Interval-valued intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 31(3), 343-349, 1989.
  9. W. L. Gau and D. J. Buehrer , "Vague sets," IEEE Transactions on systems, Man and Cybernetics, vol. 23(2), 610-614, 1993.
  10. Y. J. Yang and C. Hinde , "A new extension of fuzzy sets using rough sets: R-fuzzy sets," Information Sciences vol. 180, 354-365, 2010.
  11. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-I," Information Sciences, vol. 8, 199-249, 1975.
  12. C. Cornelis, K. Atanassov and E. E. Kerre, "Intuitionistic fuzzy sets and interval-valued fuzzy sets: a critical comparison," in: Proceedings of Third European Conference on Fuzzy Logic and Technology (EUSFLAT03), Zittau, Germany, pp. 159-163, 2003.
  13. G. Deschrijver and E. E. Kerre, "On the relationship between some extensions of fuzzy set theory," Fuzzy Sets and Systems, vol. 133, 227-235, 2003.
  14. H. Bustince and P. Burillo, "Vague sets are intuitionistic fuzzy sets," Fuzzy Sets and Systems, vol. 79, 403-405, 1996.
  15. P. Burillo, H. Bustince, and V. Mohedano, "Some Definition of Intuitionistic Fuzzy Number First Properties," Proc. of the First Workshop on Fuzzy based expert systems, pp. 53–55, Sofia, Bulgaria, September 1994.
  16. G. S. Mahapatra and T. K. Roy, "Reliability Evaluation Using Triangular Intuitionistic. Fuzzy Numbers Arithmetic Operations," International Journal of Computational and Mathematical Sciences, vol. 3:5, pp. 225–232, 2009.
  17. Yao J. S. , J. S. Su and T. S. Shing, "Fuzzy System Reliability Analysis Using Triangular Fuzzy Numbers Based on Statistical Data," Journal of Information Science and Engineering, vol. 24, pp. 1521–1535, 2008.
  18. RE Barlow and KD. Heidtmann, "Computing k-out-of-n system reliability," IEEE Trans. on Reliability, vol. R-33, pp. 322-323, 1984.
  19. A. M. Rushdi, "Utilization of symmetric switching functions in the computation of k-out-of-n system reliability," Microelectronics and Reliability, vol. 26, pp. 973-987, 1986.
  20. A. M. Rushdi, "Reliability of k-out-of-n systems," In: Misra KB, editor. New trends in system reliability evaluation, vol. 16, pp. 185-227, 1993.
  21. Dutuit Y. and Rauzy A. , "New insights in the assessment of k-out-of-n and related systems," Reliability Engineering and System Safety, vol. 72, pp. 303-314, 2001.
  22. Zadeh, L. A. , Fuzzy sets, Information and Control, 8, 338– 356, (1965).
  23. Atanassov K. T. , "lntuitionistic fuzzy sets," VII ITKR's Session, Deposed in Central Sci. - Techn. Library of Bulg. Acd. of Sci. Sofia, pp. 1677–84, 1983.
  24. P. Grzegorzewski, "Distances and Orderings in a Family of Intuitionistic Fuzzy Numbers," in Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT '03), pp. 223–227, Zittau, Germany, September 2003.
Index Terms

Computer Science
Information Sciences

Keywords

Reliability Engineering; Fuzzy Reliability; Trapezoidal Intuitionistic Fuzzy Number; k-out-of-n System; Series and Parallel Systems.

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