FUZZY INVENTORY MODEL WITH TIME DEPENDENT DEMAND RATE AND WITHOUT SHORTAGES USING PENTAGONAL FUZZY NUMBER
A. K. SAHOO
Research Scholar, Department of Mathematics, Berhampur University, India.
P. N. SAMANTA
Department of Mathematics, Berhampur University, India.
S. K. INDRAJITSINGHA *
DST Inspire Fellow, Department of Mathematics, Berhampur University, India.
U. K. MISRA
Department of Mathematics, NIST, Golanthara, Berhampur, Odisha, India.
*Author to whom correspondence should be addressed.
Abstract
In this paper, an economic production quantity model without shortages is considered under fuzzy environment. Both the demand cost and holding cost are considered by pentagonal fuzzy numbers (PFN). Graded Mean Representation Method is used to defuzzify the total cost function. The result obtained by this methods are compared with the help of a numerical example. Sensitivity analysis is also carried out to explore the effect of changes in the values of some of the system parameters.
Keywords: Inventory model, pentagonal fuzzy number (PFN), graded mean representation (GMIR) method, defuzzification