Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2017
  • Volume: 36e
  • Issue: 2

Solution of fuzzy multi objective non-linear programming problem (fmonlpp) using fuzzy programming techniques based on exponential membership functions

1Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India. E-mail: priyadarsinirath0@gmail.com

2Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India. E-mail: rajani_bdash@rediffmail.com

*Corresponding Author: Priyadarsini Rath, Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India, E-mail: priyadarsinirath0@gmail.com

Online published on 16 January, 2018.

Abstract

In this paper a Fuzzy Multi Objective Non Linear Programming Problem (FMONLPP) is first reduced to crisp MONLPP using ranking function. The crisp MONLPP is then solved by Zimmerman Technique using Exponential membership functions. The comparison of the results obtained using this method with those using trapezoidal membership function method is presented.

Keywords

Multi Objective Non Linear Programming Problem, Fuzzy Multi-objective Non Linear Programming Problem, Exponential Membership Function, Ranking function, Fuzzy Multi objective linear programming problem