A Multi Objective Epq Model with Uniform Demand and Productıon Rate Along Wıth Shortages Under Intuitioistic Fuzzy Programmıng Approach

Kausik Das^*, Sahidul Islam

Department of mathematics, University of Kalyani, Kalyani, Nadia, Pin-714235, West Bengal, India.

Email: kausikd69@gmail.com; sahidul.math@gmail.com

*Correspondence: kausikd69@gmail.com

Abstract

In this paper we have described a multi-objective economic production quantity (EPQ) model with uniform demand rate as well as shortages. In this model we have considered the production rate as finite. Due to uncertainty in the various cost parameters, most of the costs parameters are taken as pentagonal fuzzy number. The model has been solved by Fuzzy Non-Linear Programming Problem (FNLP), Fuzzy Additive Goal Programming Problem (FAGP) and Intuitionistic fuzzy programming approach (IFP).To demonstrate the validity of this model some numerical examples have been given lastly. The sensitivity analysis for some cost parameters has also been given.

Keywords: Deterministic EPQ model; Uniform demand; Finite production rate; Shortages; Pentagonal fuzzy number; Intuitionistic fuzzy programming approach (IFP).