Some new solution concepts to a general fuzzy multiobjective nonlinear programming problem are introduced in this research, and four scalarization techniques are proposed to obtain them. Then, the relation between the set of defined optimal solutions and the set of optimal solutions of the scalarized problems are studied. Moreover, a general scalarized problem is given and shown that these four techniques can be drawn from this problem. Adequate number of numerical examples have been solved to illustrate the techniques.
Abo-Sinna MA, Abo-Elnaga YY, Mousa AA (2014) An interactive dynamic approach based on hybrid swarm optimization for solving multiobjective programming problem with fuzzy parameters. Appl Math Model 38:2000–2014MathSciNetCrossRefGoogle Scholar
Charnes A, Cooper WW (1961) Management models and industrial applications of linear programming. Wiley, New YorkMATHGoogle Scholar
Cheng H, Huanga W, Zhoub Q, Caic J (2013) Solving fuzzy multi-objective linear programming problems using deviation degree measures and weighted max–min method. Appl Math Model 37:6855–6869MathSciNetCrossRefGoogle Scholar