A general defuzzification method for fuzzy total cost in an inventory without backorder case

Authors:
Gisella Facchinetti;Nicoletta Pacchiarotti
Affiliations:
Department of Economics, University of Modena and Reggio Emilia, Italy;Department of Pure and Applied Mathematics, University of Modena and Reggio Emilia, Italy
Venue:
WILF'03 Proceedings of the 5th international conference on Fuzzy Logic and Applications
Year:
2003

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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.