Interactive Fuzzy Goal Programming Based on Taylor Series to Solve Multiobjective Nonlinear Programming Problems with Interval Type 2 Fuzzy Numbers

摘要

This paper presents an interactive fuzzy goal programming (FGP) approach forsolving multiobjective nonlinear programming problems (MONLPP) with intervaltype 2 fuzzy numbers (IT2 FNs). The cost and time of the objective functions,the resources, and the requirements of each kind of resources are taken to betrapezoidal IT2 FNs. Here, the considered problem is first transformed into anequivalent crisp MONLPP, and then the transformed MONLPP is converted into anequivalent Multiobjective Linear Programming Problem (MOLPP). By using aprocedure based on Taylor series, this problem is reduced into a singleobjective linear programming problem (LPP) which can be easily solved by Maple18.02 optimization toolbox. Finally, the proposed solution procedure isillustrated by two numerical examples.