An Approach to Solve Multi-objective Linear Production Planning Games with Fuzzy Parameters

  • Hamid Bigdeli Institute for the Study of War, Army Command and Staff University, Tehran, I.R. Iran
  • Hassan Hassanpour

Abstract

In this research, the n-person cooperative games arising from multi-objective linear production planning problem with fuzzy parameters are considered. It is assumed that the fuzzy parameters are fuzzy numbers. The fuzzy multi-objective game problem is transformed into a single-objective game problem by group AHP method. The obtained problem is converted to a problem with interval parameters by considering the near-
est interval approximation of the fuzzy numbers. Then, optimistic and pessimistic core concepts are introduced. The payoff vectors of the players are obtained by the duality theorem of linear programming. Finally, validity and applicability of the method are illustrated by a practical example.

Published
Jun 5, 2018
How to Cite
BIGDELI, Hamid; HASSANPOUR, Hassan. An Approach to Solve Multi-objective Linear Production Planning Games with Fuzzy Parameters. Yugoslav Journal of Operations Research, [S.l.], v. 28, n. 2, p. 237-248, june 2018. ISSN 2334-6043. Available at: <http://www.yujor.fon.bg.ac.rs/index.php/yujor/article/view/126>. Date accessed: 29 mar. 2024.
Section
Articles