Bulletin of Pure & Applied Sciences- Mathematics and Statistics
  • Year: 2021
  • Volume: 40e
  • Issue: 1

Solution of some multi-objective nonlinear programming problems*

  • Author:
  • Jyotirmaya Brahma1, Dwiti Krushna Behera1, Priyadarsini Rath1
  • Total Page Count: 5
  • Published Online: Jul 21, 2021
  • Page Number: 70 to 74

1Department of Mathematics, Ravenshaw University, Cuttack, Odisha, India

†Corresponding author Jyotirmaya Brahma, E-mail: brahmajyotirmaya00@gmail.com

** E-mail: dwiti78@gmail.com

*** E-mail: priyadarsinirath0@gmail.com

Abstract

In this paper a method for solving bi-objective nonlinear programming problem is derived. Here, the bi-objective nonlinear programming problem is converted into a crisp problem using Zimmermann’s fuzzy programming technique with linear membership function and after that the crisp problem is solved by separable programming technique to find the optimal compromise solution. A numerical example is given for the sake of illustration.

Keywords

Nonlinear Programming Problem, Separable Programming, Linear Membership Function, Fuzzy Programming Technique, Multi-objective Nonlinear Programming Problem