International Journal of Bioinformatics and Biological Science
  • Year: 2018
  • Volume: 6
  • Issue: 2

Some Arithmetic Operations on Trapezoidal Fuzzy Numbers and its Application in Solving Linear Programming Problem by Simplex Algorithm

1Department of Mathematics, Springdale High School, Kalyani, India

2Department of Mathematics, Regent Education and Research Foundation, Kolkata, India

*Corresponding author: rkar997@gmail.com

Online published on 24 October, 2019.

Abstract

The fuzzy logic and fuzzy numbers have been applied in many fields such as operation research, differential equations, fuzzy system reliability, control theory and management sciences etc. The fuzzy logic and fuzzy numbers are widely used in engineering applications also. In this paper we first describe Trapezoidal Fuzzy Number (TrFN) with arithmetic operations and solve a linear programming problem by Trapezoidal Fuzzy Number (TrFN) using simplex algorithm.

Keywords

Fuzzy set, Generalized Trapezoidal Fuzzy Number (GTrFN), Trapezoidal Fuzzy Number (TrFN), Simplex algorithm