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**Fuzzy inventory model for deteriorating items with permissible delay in payment.**
*(English)*
Zbl 1120.90301

Summary: We extend the model of A. M. M. Jamal, B. R. Sarker and S. Wang [J. Oper. Res. Soc. 48, No. 8, 826–833 (1997; Zbl 0890.90049)] by fuzzifying the carrying cost rate, interest paid rate and interest earned rate simultaneously, based on the interval-valued fuzzy numbers and triangular fuzzy number to fit the real world. We then prove that the estimate of total variable cost per unit time in the fuzzy sense is a strictly pseudo-convex function. As a result, there exists a unique optimal solution to our proposed model. Moreover, we apply the Jamal et al. example to show the results and to compare with the Jamal et al. model.

### Keywords:

fuzzy inventory; interval-valued fuzzy number; permissible delay in payment; signed distance; triangular fuzzy number### Citations:

Zbl 0890.90049
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\textit{L.-H. Chen} and \textit{L.-Y. Ouyang}, Appl. Math. Comput. 182, No. 1, 711--726 (2006; Zbl 1120.90301)

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### References:

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