Document Type : Research Articles

Authors

• Elham Hosseinzadeh ¹
• Sakineh Beigi ²
• Javad Tayyebi ³

¹ Department of Mathematics, Kosar University of Bojnord, Bojnord, Iran

² Department of Industrial Engineering, Kosar University of Bojnord, Bojnord, Iran

³ Department of Industrial Engineering, Birjand University of Technology, Birjand, Iran

Abstract

In this article, we construct a new computational algorithm for solving multiobjective linear programming problem in intuitionistic fuzzy environment. The resources and technological
coefficients are taken to be intuitionistic fuzzy numbers. Here, the intuitionistic fuzzy multi-objective linear programming problem is transformed into an equivalent crisp multi-objective linear programming problem. By using fuzzy mathematical programming approach, the transformed multiobjective linear programming problem is reduced into a single objective nonlinear and non-convex programming problem. Stepwise algorithm is given for solving an intuitionistic fuzzy multiobjective linear programming problem and it is checked with a numerical example using intuitionistic fuzzy decisive set method.

Keywords

• Intuitionistic fuzzy set, Multi-objective linear programming problem
• Membership and non-membership functions
• Intuitionistic index
• fuzzy decisive set method