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A General Defuzzification Method for Fuzzy Total Cost in an Inventory Without Backorder Case

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Fuzzy Logic and Applications (WILF 2003)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 2955))

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Abstract

We hereby consider the total cost in an inventory without backorder model, where the cost of storing and the total demand over the planning time period are triangular fuzzy numbers: therefore the total cost is a triangular fuzzy number too. In order to obtain a crisp optimal solution, we use a defuzzification method called Weighted Average Value (WAV), which is more general than others presented by several authors. Such a solution coincides with the usual one, if coefficients collapse to real numbers.

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References

  1. Adamo, J.M.: Fuzzy decision trees. Fuzzy Sets and Systems 4, 207–219 (1980)

    Article  MathSciNet  MATH  Google Scholar 

  2. Bortolan, G., Degani, R.: A review of some methods for ranking fuzzy numbers. Fuzzy Set and Systems 15, 1–19 (1985)

    Article  MATH  Google Scholar 

  3. Campos, L.M., Gonzalez, A.: A subjective approach for ranking fuzzy numbers. Fuzzy Set and Systems 29, 145–153 (1989)

    Article  MathSciNet  MATH  Google Scholar 

  4. Campos, L.M., Gonzalez, A.: Further contributions to the study of the Average Value for ranking Fuzzy Numbers. Int. Journal of Approximate reasoning 10, 135–153 (1994)

    Article  MathSciNet  MATH  Google Scholar 

  5. Chang, S.C., Yao, J.S.: Economic reorder point for fuzzy backorder quantity. European Journal of Operational Research 109, 183–202 (1998)

    Article  MATH  Google Scholar 

  6. Facchinetti, G., Ghiselli Ricci, R., Muzzioli, S.: Note on ranking fuzzy triangular numbers. International Journal of Intelligent Systems 13, 613–622 (1998)

    Article  Google Scholar 

  7. Facchinetti, G.: ’Ranking functions induced by weighted average of fuzzy numbers. In: Fuzzy Optimisation and Decision Making, vol. 1(3), pp. 313–327. Kluwer Accademic Publishers, Dordrecht (2002)

    Google Scholar 

  8. Facchinetti, G., Giove, S., Pacchiarotti, N. : Optimisation of a non linear fuzzy function. Soft Computing. 6(6), 476-480 (2001); (2002)

    Google Scholar 

  9. Facchinetti, G., Ghiselli Ricci, R.: A characterization of a general class of ranking functions on triangular fuzzy numbers. Fuzzy Set and Systems (2003) (to appear)

    Google Scholar 

  10. Fortemps, P., Roubens, M.: Ranking and defuzzification methods based on area compensation. Fuzzy sets and Systems 82, 319–330 (1996)

    Article  MathSciNet  MATH  Google Scholar 

  11. Gonzalez, A.: A study of the ranking function approach through mean values. Fuzzy Set and Systems 35, 29–41 (1990)

    Article  MathSciNet  MATH  Google Scholar 

  12. Kaufmann, A., Gupta, M.M.: Introduction to fuzzy arithmetic. Van Nostrand Reinhold Company (1985)

    Google Scholar 

  13. Lee, H.M., Yao, J.S.: Economic order quantity in fuzzy sense for inventory without backorder model. Fuzzy sets and Systems 111, 465–495 (1998)

    Google Scholar 

  14. Tsumura, Y., Terano, T., Sugeno, M.: ”Fuzzy fault tree analysis, Summary of papers on general fuzzy problems”. Report n7, 21–25 (1981)

    Google Scholar 

  15. Yager, R.R.: A procedure for Ordering Fuzzy Subsets over the unit interval. Information Sciences 24, 143–161 (1981)

    Article  MathSciNet  MATH  Google Scholar 

  16. Yao, J.S., Chang, S.C.: Economic principle on profit in the fuzzy sense. Fuzzy Set and Systems 117, 113–127 (2001)

    Article  MATH  Google Scholar 

  17. Yao, J.S., Lee, H.M.: Fuzzy inventory with or without backorder quantity with trapezoidal fuzzy number. Fuzzy Set and Systems 105, 311–337 (2000)

    Article  MATH  Google Scholar 

  18. Yao, J.S., Chiang, J.: Inventory without backorder with fuzzy total cost and fuzzy storing defuzzified by centroid and signed distance. European Journal of Operational Research 148, 401–409 (2003)

    Article  MATH  Google Scholar 

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© 2006 Springer-Verlag Berlin Heidelberg

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Facchinetti, G., Pacchiarotti, N. (2006). A General Defuzzification Method for Fuzzy Total Cost in an Inventory Without Backorder Case. In: Di Gesú, V., Masulli, F., Petrosino, A. (eds) Fuzzy Logic and Applications. WILF 2003. Lecture Notes in Computer Science(), vol 2955. Springer, Berlin, Heidelberg. https://doi.org/10.1007/10983652_19

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  • DOI: https://doi.org/10.1007/10983652_19

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-31019-8

  • Online ISBN: 978-3-540-32683-0

  • eBook Packages: Computer ScienceComputer Science (R0)

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