Journal of Neutrosophic and Fuzzy Systems

Journal DOI

https://doi.org/10.54216/JNFS

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2771-6449ISSN (Online) 2771-6430ISSN (Print)

HyperFuzzy Graph and Hyperfuzzy HyperGraph

Takaaki Fujita , Prem Kumar Singh

Fuzzy sets, intuitionistic fuzzy sets, neutrosophic sets, plithogenic sets, and other uncertainty handling frameworks are the subject of intensive daily research. Analogous investigations have been pursued in the contexts of graphs, hypergraphs, and superhypergraphs. In this paper, we introduce new definitions of the hyperfuzzy hypergraph and superhyperfuzzy hypergraph, which extend the notion of the fuzzy hypergraph. We also revisit and refine the concepts of the hyperfuzzy graph and the superhyperfuzzy graph.

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Doi: https://doi.org/10.54216/JNFS.100101

Vol. 10 Issue. 1 PP. 01-13, (2025)

A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM)

Takaaki Fujita

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 Supply 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.

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Doi: https://doi.org/10.54216/JNFS.100102

Vol. 10 Issue. 1 PP. 14-24, (2025)