An application of fuzzy goal programming to a multiobjective project network problem


Arikan F. , Gungor Z.

FUZZY SETS AND SYSTEMS, vol.119, no.1, pp.49-58, 2001 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 119 Issue: 1
  • Publication Date: 2001
  • Doi Number: 10.1016/s0165-0114(99)00119-0
  • Title of Journal : FUZZY SETS AND SYSTEMS
  • Page Numbers: pp.49-58
  • Keywords: fuzzy sets, decision making, multicriteria analysis, fuzzy goal programming, fuzzy linear programming, project network, OPTIMIZATION

Abstract

This paper presents a practical application of fuzzy goal programming (FGP) in a real-life project network problem with two objectives as minimum completion time and crashing costs wanted to be optimized simultaneously. Fuzziness in the problem stems from the imprecise aspiration levels attained by the decision maker (DM) to both objectives. These imprecise aspiration levels are quantified through the use of piecewise linear and continuous membership functions. The objective function of the FGP is to maximize the membership value of both objectives' intersection which form the fuzzy decision. The problem is solved by using LINDO computer package and the best compromised solution is found. Comparisons between solutions of FGP, fuzzy linear programming (FLP), lexicographic maximization method (LMM) and linear programming (LP) are also presented. (C) 2001 Elsevier Science B.V. All rights reserved.