Bulletin of Pure and Applied Sciences Section.
  • Year: 2019
  • Volume: 38E
  • Issue: 1

Optimality Conditions for Fuzzy Non-Linear Unconstrained Minimization Problems

1Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu620020, India

2Department of Mathematics, Government Arts College, Karur, Tamil Nadu639007, India

*A. Nagoorgani, Department of Mathematics, Jamal Mohamed College (Autonomous), Tiruchirappalli, Tamil Nadu 620020, India. E-mail: ganijmc@yahoo.co.in

Abstract

In this paper, optimality conditions for fuzzy non-linear unconstrained minimization problems are discussed. Here the cost coefficients are represented by triangular fuzzy numbers. Finally, these conditions are verified by some numerical examples.

Keywords

Fuzzy non-linear unconstrained minimization problem, triangular fuzzy number, triangular fuzzy matrix, 03E72, 90C30, 90C70