A Reconsideration of the Mathematical Frameworks for Fuzzy and

Neutrosophic Supply Chain Management (FSCM and NSCM)

Takaaki Fujita 1,∗

1Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan

Email: takaaki.fujita060@gmail.com

Abstract

Numerous frameworks have been developed to address uncertainty in various domains. Among the most

prominent are Fuzzy Sets,26 Rough Sets,15 Intuitionistic Fuzzy Sets,4 Hesitant Fuzzy Sets,23 Neutrosophic

Sets,3 as well as other emerging theories that continue to be actively explored. Supply Chain Management

(SCM) involves planning, coordinating, and optimizing the flow of goods, information, and finances across

the entire supply network.9, 16 In this paper, we introduce rigorous Mathematical Frameworks for Fuzzy Sup-

ply Chain Management (FSCM) and Neutrosophic Supply Chain Management (NSCM). We hope that these

formulations will foster further advances in both supply chain optimization and the development of Fuzzy Set

and Neutrosophic Set-based models.

Keywords: Fuzzy set; Neutrosophic Set; Supply Chain Management (SCM); Fuzzy Supply Chain Manage-

ment (FSCM); Neutrosophic Supply Chain Management (NSCM)