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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adamo, J.M.: Fuzzy decision trees. Fuzzy Sets and Systems 4, 207–219 (1980)
Bortolan, G., Degani, R.: A review of some methods for ranking fuzzy numbers. Fuzzy Set and Systems 15, 1–19 (1985)
Campos, L.M., Gonzalez, A.: A subjective approach for ranking fuzzy numbers. Fuzzy Set and Systems 29, 145–153 (1989)
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)
Chang, S.C., Yao, J.S.: Economic reorder point for fuzzy backorder quantity. European Journal of Operational Research 109, 183–202 (1998)
Facchinetti, G., Ghiselli Ricci, R., Muzzioli, S.: Note on ranking fuzzy triangular numbers. International Journal of Intelligent Systems 13, 613–622 (1998)
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)
Facchinetti, G., Giove, S., Pacchiarotti, N. : Optimisation of a non linear fuzzy function. Soft Computing. 6(6), 476-480 (2001); (2002)
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)
Fortemps, P., Roubens, M.: Ranking and defuzzification methods based on area compensation. Fuzzy sets and Systems 82, 319–330 (1996)
Gonzalez, A.: A study of the ranking function approach through mean values. Fuzzy Set and Systems 35, 29–41 (1990)
Kaufmann, A., Gupta, M.M.: Introduction to fuzzy arithmetic. Van Nostrand Reinhold Company (1985)
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)
Tsumura, Y., Terano, T., Sugeno, M.: ”Fuzzy fault tree analysis, Summary of papers on general fuzzy problems”. Report n7, 21–25 (1981)
Yager, R.R.: A procedure for Ordering Fuzzy Subsets over the unit interval. Information Sciences 24, 143–161 (1981)
Yao, J.S., Chang, S.C.: Economic principle on profit in the fuzzy sense. Fuzzy Set and Systems 117, 113–127 (2001)
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)
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)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2006 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
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
Download citation
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)