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.
Mots-clés : Heptagonal dense fuzzy number, centroid method, inventory problem, optimization
@article{RO_2020__54_1_267_0,
author = {Maity, Suman and Chakraborty, Avishek and De, Sujit Kumar and Mondal, Sankar Prasad and Alam, Shariful},
title = {A comprehensive study of a backlogging {EOQ} model with nonlinear heptagonal dense fuzzy environment},
journal = {RAIRO - Operations Research - Recherche Op\'erationnelle},
pages = {267--286},
publisher = {EDP-Sciences},
volume = {54},
number = {1},
year = {2020},
doi = {10.1051/ro/2018114},
mrnumber = {4062456},
zbl = {1444.03155},
language = {en},
url = {http://www.numdam.org/articles/10.1051/ro/2018114/}
}
TY - JOUR AU - Maity, Suman AU - Chakraborty, Avishek AU - De, Sujit Kumar AU - Mondal, Sankar Prasad AU - Alam, Shariful TI - A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment JO - RAIRO - Operations Research - Recherche Opérationnelle PY - 2020 SP - 267 EP - 286 VL - 54 IS - 1 PB - EDP-Sciences UR - http://www.numdam.org/articles/10.1051/ro/2018114/ DO - 10.1051/ro/2018114 LA - en ID - RO_2020__54_1_267_0 ER -
%0 Journal Article %A Maity, Suman %A Chakraborty, Avishek %A De, Sujit Kumar %A Mondal, Sankar Prasad %A Alam, Shariful %T A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment %J RAIRO - Operations Research - Recherche Opérationnelle %D 2020 %P 267-286 %V 54 %N 1 %I EDP-Sciences %U http://www.numdam.org/articles/10.1051/ro/2018114/ %R 10.1051/ro/2018114 %G en %F RO_2020__54_1_267_0
Maity, Suman; Chakraborty, Avishek; De, Sujit Kumar; Mondal, Sankar Prasad; Alam, Shariful. A comprehensive study of a backlogging EOQ model with nonlinear heptagonal dense fuzzy environment. RAIRO - Operations Research - Recherche Opérationnelle, Tome 54 (2020) no. 1, pp. 267-286. doi : 10.1051/ro/2018114. http://www.numdam.org/articles/10.1051/ro/2018114/
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