Title: EOQ model in uncertain environment by using generalised intuitionistic fuzzy Laplace transformation

Authors: Bijoy Krishna Debnath; Pinki Majumder; Uttam Kumar Bera

Addresses: Department of Applied Sciences, Tezpur University, Tezpur – 784028, Assam, India ' Department of Mathematics, National Institution of Technology, Agartala, Tripura (West), India ' Department of Mathematics, National Institution of Technology, Agartala, Tripura (West), India

Abstract: This paper investigates an intuitionistic fuzzy economic order quantity (EOQ) inventory model under trade credit policy where initial order quantity is considered as triangular intuitionistic fuzzy number (TrIFN) and generalised fuzzy Laplace transform method is applied to solve intuitionistic fuzzy differential equation. The rate of demand varies with the selling price and inflation over time. Furthermore, the generalised Hukuhara derivative approach to convert the fuzzy differential equation into crisp differential equation is employed. The purpose of this paper is to determine the time that maximises the retailer's total profit per unit. Since, initial order quantity is assumed to be TrIFN and by using of (α, β)-cut of intuitionistic fuzzy number, then four objective profit functions are derived. Therefore, multi-objective genetic algorithm is used to obtain the solutions. Finally, a numerical example is considered for different cases in order to illustrate the theoretical results and a sensitivity analysis of parameters on the solutions is conducted.

Keywords: intuitionistic fuzzy number; multi-objective genetic algorithm; MOGA; intuitionistic fuzzy differential equation; gH derivative.

DOI: 10.1504/IJLSM.2024.142619

International Journal of Logistics Systems and Management, 2024 Vol.49 No.3, pp.412 - 437

Received: 11 Nov 2021
Accepted: 18 Apr 2022
Published online: 12 Nov 2024 *

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