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Availability Analysis of the Butter Oil Processing Plant Using Intuitionistic Fuzzy Differential Equations

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Book cover Proceedings of Sixth International Conference on Soft Computing for Problem Solving

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 546))

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Abstract

The main objective of this manuscript is to discuss the availability analysis of the industrial plant. Conventionally availability studies assume that probability in Markov models are accurate. However in reality, data is either insufficient or contain uncertainty which violates this assumption. Keeping this in view the availability of Butter oil processing plant is evaluated after developing the intuitionistic fuzzy differential equations for the system by using its Markov model. \((\alpha , \beta )\)-Cut method has been used to evaluate intuitionistic fuzzy availability of the system.

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References

  1. Dhillon, B.S., Singh, C.: Engineering Reliability: New Techniques and Applications. Wiley, New York (1981)

    MATH  Google Scholar 

  2. Knezevic, J., Odoom, E.R.: Reliability modeling of repairable systems using petri nets and fuzzy Lambda-Tau methodology. Reliab. Eng. Syst. Saf. 73(1), 1–17 (2001)

    Article  Google Scholar 

  3. Sharma, S.P., Garg, H.: Behavioral analysis of a urea decomposition system in a fertilizer plant. Int. J. Ind. Syst. Eng. 8(3), 271–297 (2011)

    Google Scholar 

  4. Zadeh, L.A.: Fuzzy sets. Inf. Control 8, 338–353 (1965)

    Article  MATH  Google Scholar 

  5. Atanassov, K.T.: Intuitionistic fuzzy sets. In: VII ITKR Session, Sofia, 20–23 June 1983

    Google Scholar 

  6. Atanassov, K.T.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20(1), 87–96 (1986)

    Article  MathSciNet  MATH  Google Scholar 

  7. Atanasov, K.T.: Intuitionistic Fuzzy Sets: Theory and Applications. Springer Physica-Verlag, Heidelberg (1999)

    Book  Google Scholar 

  8. De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117(2), 209–213 (2001)

    Article  MATH  Google Scholar 

  9. Komal, C.D., Lee, S.: Fuzzy reliability analysis of dual-fuel steam turbine propulsion system in LNG carries considering data uncertainty. J. Nat. Sci. Eng. 23, 148–164 (2015)

    Article  Google Scholar 

  10. Garg, H.: An approach for analyzing the reliability of industrial system using fuzzy Kolmogorovs differential equations. Arab. J. Sci. Eng. 40(3), 975–987 (2015)

    Article  Google Scholar 

  11. Kaleva, O.: Fuzzy differential equations. Fuzzy Sets Syst. 24(3), 301–317 (1987)

    Article  MathSciNet  MATH  Google Scholar 

  12. Buckley, J.J., Feuring, T.: Fuzzy initial problem for Nth-order linear differential equations. Fuzzy Sets Syst. 121, 247–255 (2001)

    Article  MATH  Google Scholar 

  13. Buckley, J.J., Feuring, T., Hayashi, Y.: Linear systems of first order differential equations: fuzzy differential equations. Soft Comput. 6, 415–421 (2002)

    Article  MATH  Google Scholar 

  14. Garg, H.: A novel approach for solving fuzzy differential equations using Runge-Kutta and Biogeography-based optimization. J. Intell. Fuzzy Syst. 30, 2417–2429 (2016)

    Article  Google Scholar 

  15. Ettoussi, R., Melliani, S., Elomari, M., Chadli, L.S.: Solution of intuitionistic fuzzy differential equations by successive approximations method. Not. Intuitionistic Fuzzy Sets 21(2), 51–62 (2015)

    Google Scholar 

  16. Singhal, N., Sharma, S.P.: Solution of system of first order linear differential equations in intuitionistic fuzzy environment. Not. Intuitionistic Fuzzy Sets 22(3), 70–79 (2016)

    Google Scholar 

  17. Gupta, P., Lal, A.K., Sharma, R.K., Singh, J.: Numerical analysis of reliability and availability of the serial processes in butter-oil processing plant. Int. J. Qual. Reliab. Manag. 22(3), 303–316 (2005)

    Article  Google Scholar 

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Acknowledgement

The authors are grateful to the reviewers for their valuable comments and suggestions. The first author (Neha Singhal) acknowledges the University Grants Commission (UGC), New Delhi India, for financial support to carry out this work.

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Correspondence to Neha Singhal .

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Singhal, N., Sharma, S.P. (2017). Availability Analysis of the Butter Oil Processing Plant Using Intuitionistic Fuzzy Differential Equations. In: Deep, K., et al. Proceedings of Sixth International Conference on Soft Computing for Problem Solving. Advances in Intelligent Systems and Computing, vol 546. Springer, Singapore. https://doi.org/10.1007/978-981-10-3322-3_32

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  • DOI: https://doi.org/10.1007/978-981-10-3322-3_32

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  • Publisher Name: Springer, Singapore

  • Print ISBN: 978-981-10-3321-6

  • Online ISBN: 978-981-10-3322-3

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