Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number

In this paper we consider the fundamental production inventory problem such that the product quantity is a triangular fuzzy number (Q) over tilde = (q(1), q(0), q(2)), where q(1) = q0 - Delta(1), q(2) = q(0) + Delta(2). Suppose q* denotes the crisp economic product quantity in the classical production inventory model and we assume 0 < q(1) < q* < q(0) < q(2) or 0 < q(1) < q(0) < q* < q(2). According to two relations of q* and q(1), q(0), q(2) (q(1) < q(0) < q(2)) we find the membership function mu(F((Q) over tilde))(gamma) of the fuzzy cost function F((Q) over tilde) and their centroid, then obtain the economic product quantity q** in the fuzzy sense. (C) 1999 Elsevier Science B.V. All rights reserved.