Title: Inventory policies under fuzzy and cloud fuzzy environment

Authors: Nita H. Shah; Milan B. Patel; Pratik H. Shah

Addresses: Department of Mathematics, Gujarat University, Ahmedabad, Gujarat 380009, India ' Department of Mathematics, Gujarat University, Ahmedabad, Gujarat 380009, India ' Department of Mathematics, C.U. Shah Government Polytechnic, Surendranagar, Gujarat 360001, India

Abstract: This article is an attempt to extend the classical economic order quantity (EOQ) model for deteriorating items under fuzzy and cloud fuzzy environment. Inventory parameters such as holding cost, purchase cost, ordering cost, demand rate and deterioration rate are considered as triangular fuzzy numbers as well as cloud triangular fuzzy numbers to develop fuzzy and cloud fuzzy models respectively. Yager's ranking method and De and Beg's ranking methods are used for defuzzification. A comparative study reveals the superiority of cloud fuzzy model over crisp and fuzzy model. Further, numerical example, graphical illustrations and sensitivity analysis are carried out for better understanding of the application of cloud fuzzy approach to inventory optimisation problem.

Keywords: inventory; economic order quantity; EOQ; deterioration; cloud fuzzy number.

DOI: 10.1504/IJIDS.2022.127459

International Journal of Information and Decision Sciences, 2022 Vol.14 No.4, pp.356 - 370

Received: 06 Nov 2020
Accepted: 13 Dec 2020
Published online: 06 Dec 2022 *

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