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Fuzzy production inventory for fuzzy product quantity with triangular fuzzy number

Authors
Journal
Fuzzy Sets and Systems
0165-0114
Publisher
Elsevier
Publication Date
Volume
107
Issue
1
Identifiers
DOI: 10.1016/s0165-0114(97)00350-3
Keywords
  • Economics Production
  • Membership Functions
  • Extension Principle
  • Fuzzy Production Inventory
  • Fuzzy Production Quantity
Disciplines
  • Economics

Abstract

Abstract In this paper we consider the fundamental production inventory problem such that the product quantity is a triangular fuzzy number Q ̃ = (q 1,q 0, g 2) , where q 1 = q 0 − Δ 1, q 2 = q 0 + Δ 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 μF( Q ̃ )(y) of the fuzzy cost function F( Q ̃ ) and their centroid, then obtain the economic product quantity q ∗∗ in the fuzzy sense.

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