Volume 54, Number 1, January-February 2020
|Page(s)||267 - 286|
|Published online||11 February 2020|
A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment
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: firstname.lastname@example.org
Accepted: 25 November 2018
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.
Mathematics Subject Classification: 03E72 / 90B50
Key words: Heptagonal dense fuzzy number / centroid method / inventory problem / optimization
© EDP Sciences, ROADEF, SMAI 2020
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