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Journal of Information Science and Engineering, Vol. 23 No. 6, pp. 1939-1953 (November 2007)

Fuzzy Production Inventory Based on Signed Distance*

Huey-Ming Lee+ and Jershan Chiang
+Department of Information Management
Department of Applied Mathematics
Chinese Culture University
Taipei, 111 Taiwan
+E-mail: hmlee@faculty.pccu.edu.tw

In crisp production inventory problem, let q, a, b, d, R and r be the quantity produced per cycle, the holding cost, production cost, production quantity per day, the total demand quantity and the demand quantity per day, respectively. We consider three fuzzification methods. Firstly, we fuzzify q, a, b, d, R and r to triangular fuzzy numbers. Secondly, we fuzzify d and r to triangular fuzzy number with q, a, b and R staying in crisp case. Thirdly, we fuzzify q to triangular fuzzy number with a, b, d, R and r staying in crisp case. In three cases, we find the total costs in the fuzzy sense by signed distance and get the optimal solutions.

Keywords: fuzzy sets, fuzzy production inventory, fuzzy total cost, triangular fuzzy number, signed distance

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Received November 3, 2005; revised February 8 & April 27, 2006; accepted June 15, 2006.
Communicated by Jenq-Neng Hwang.
*This work was supported in part by the National Science Council of Taiwan, R.O.C., under grant No. NSC 93-2416-H-034-003.