In terms of flexibility and product variety in lot-sizing systems of crisp cases, the
average demand of per unit of time (mj), the relative duration of setup (qj), and the unit
cost of production (cj) are considered. Instead of using the usual method that the mj, qj,
and cj in the total cost function are respectively fuzzified by the triangular fuzzy numbers
to derive fuzzy total cost, in this paper, we construct three different intervals to include
mj, qj, and cj, respectively, and then consider the fuzzification of the system from these
three different intervals directly. And finally the fuzzy total cost is obtained. By applying
respectively the signed distance and centroid method for defuzzification, two different
total cost functions are obtained, and thus the respective optimal solutions are computed.
Relation:
Journal of Information Science and Engineering 23(1), pp.49-79