A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment

¹ Department of Mathematics, Midnapore College (Autonomous), 721101 Midnapore, West Bengal, India
² Department of Basic Science, Narula Institute of Technology, Agarpara, 700109 Kolkata, West Bengal, India
³ Department of Mathematics, Indian Institute of Engineering Science and Technology, 711103 Kolkata, West Bengal, India

^* Corresponding author: skdemamo2008.com@gmail.com

Received: 8 July 2018
Accepted: 25 November 2018

Abstract

This paper deals with an adaptation of an application of nonlinear heptagonal dense fuzzy number. The concept of linear and as well as non-linear for both symmetric and asymmetric heptagonal dense fuzzy number is introduced here. We develop a new ranking method for non-linear heptagonal dense fuzzy number also. Considering a backorder inventory model with non-linear heptagonal dense fuzzy demand rate we have utilized a modified centroid method for defuzzification. For decision maker’s aspects, numerical examples, comparative study with other dense fuzzy numbers and a sensitivity analysis show the superiority of the nonlinear heptagonal dense fuzzy number. Finally, graphical illustrations are made to justify the model followed by a conclusion.