Published November 4, 2017 | Version v1

A FUZZY RELIABILITY MODEL FOR THE EFFECT OF CORTICOSTERONE BASED ON TWO PARAMETER DISTRIBUTION

  • 1. Assistant Professor of Mathematics, Dhanalakshmi Srinivasan College of Engineering, Perambalur, Tamilnadu
  • 2. Assistant Professor of Mathematics, A.V.V.M Sri Pushpam College, Poondi, Thanjavur, Tamilnadu

Description

The theoretical study for the effect of Corticosterone release scores over a 24-hours light/dark period was determined. Formulae of fuzzy two parameter Weibull distribution, Log-Logistic and Exponential distribution, fuzzy reliability function and its α-cut sets are presented. Using fuzzy reliability model based on two parameter Weibull distribution, Log-Logistic distribution and Exponential distributions, we showed that the α-cut for the fuzzy reliability for the effect of release of Corticosterone by using Weibull distribution and Exponential distribution is comparatively better than other pair.

Files

80.pdf

Files (782.4 kB)

Name Size Download all
md5:d739181d96bf137f4d5c98990fb5ce6c
782.4 kB Preview Download

Additional details

References

  • 1. Chen, C.H., Mon, L., "Fuzzy System reliability analysis by interval of confidence", fuzzy sets and systems, Vol. 56, pp. 29-36, 1993. 2. Chen. S. M., "New method for fuzzy system reliability analysis", Cybernetics and systems, Vol. 27, pp. 385-401, 1996. 3. Dunn. J. L., Scheving and P.Millet, "Circadian variations in stress-evoked increase in plasma corticosterone", Am J Physiol Vol. 223, pp. 402-406, 1972. 4. K.Y.Cai, C. Y. Wen and M.L. Zhang, "Fuzzy reliability modeling of gracefully degradable computing systems", Reliability Engineering and systems safety, Vol. 33, pp.141-157, 1991. 5. K.Y.Cai, Wen and M.L. Zhang., "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. 6. Seggie, J.B. E., Shaw, I.Uhler and G.M. Brown, "Baseline 24-hour plasma corticosterone rhythm in Normal", Sham operated and septally lesioned rats, Neuroendocrinology, Vol. 15, pp.51-61, 1974. 7. S.F., De Boer and J. Van Der Gugten, "Daily Variations in Plasma Noradrenaline, Adrenaline and Corticosterone Concentrations in Rats", Physiology Behavior, Vol. 40, pp 323-328, 1987. 8. Singer, D., "A fuzzy set approach to fault tree and reliability analysis", Fuzzy sets and system, Vol. 34(2), pp.145-155, 1990. 9. Utkin. L. V and Gurov. S.V, "A general formal approach for the fuzzy reliability analysis in the possibility context", Fuzzy sets and systems, Vol. 83, pp.203-213, 1996. 10. Zadeh, L.A., "Fuzzy sets", Information and control, Vol. 8, pp.338-352, 1965. 11. Zdenek Karpisek, Pert Stepanek, PetrJunrak, "Weibull fuzzy probability distribution for the reliability of concrete structures", Engineering Mechanics, Vol.17, pp.363-372, 2010.