An Application of Possibilistic Moments of Nonlinear Type of Fuzzy Numbers in Supply Chain Management

Srimantoorao S Appadoo,Amit Kumar,Yuvraj Gajpal,Ali Ahmadian

doi:10.1155/2021/5538185

Abstract

The supply chain (SC) network is prone to disturbance due to various uncertainties associated with their subsystems. The COVID-19 outbreak has exposed the global vulnerability of the supply chain network. The current pandemic has severely affected almost every SC network because its members are situated at the international level. One of the reasons for SC network failure is the deterministic assumptions of different parameters. A realistic SC network model requires the use of the uncertain value of the parameters, which can be further captured by fuzzy numbers. This paper discusses the possibilistic moment of several nonlinear types of fuzzy numbers that are important for SC network modeling. We give closed-form possibilistic moments’ expression for various types of fuzzy numbers that are very similar to the moment’s properties in probability theory and stochastic process. We then illustrate the application of proposed fuzzy numbers by solving an inventory model. This paper also provides results related to the EPQ inventory model in a fuzzy possibilistic setup.

Highlights

Introduction e COVID-19 pandemic has exposed the vulnerability of many organizations, especially the supply chain network that is heavily dependent on China. e improper management of the supplier chain network has left many companies without an adequate supply of raw materials or with unsold finished products
The paper provides the possibilistic moment of different fuzzy numbers and illustrates the application of proposed fuzzy numbers through the economic production quantity (EPQ) inventory model
Findings and Practical and Managerial Implications e fuzzy possibilistic inventory model derived in this paper can be considered as a more generalized version of the classical economic inventory model

Summary

Introduction

Introduction e COVID19 pandemic has exposed the vulnerability of many organizations, especially the supply chain network that is heavily dependent on China. e improper management of the supplier chain network has left many companies without an adequate supply of raw materials or with unsold finished products. The paper provides the possibilistic moment of different fuzzy numbers and illustrates the application of proposed fuzzy numbers through the economic production quantity (EPQ) inventory model. Fuller and Majlender [12] provided the concept of crisp weighted possibilistic moments of fuzzy numbers. Avaneswaran et al [13] and avaneswaran et al [11] extended those concepts and provided expressions for crisp possibilistic rth moments of fuzzy numbers.

Results

Conclusion