Journal of Neutrosophic and Fuzzy Systems

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https://doi.org/10.54216/JNFS

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Volume 10 , Issue 1 , PP: 14-24, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

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

Takaaki Fujita 1 *

  • 1 Independent Researcher, Shinjuku, Shinjuku-ku, Tokyo, Japan - (takaaki.fujita060@gmail.com)
  • Doi: https://doi.org/10.54216/JNFS.100102

    Received November 01, 2024, Revised December 10, 2024 Accepted January 01,2025
    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 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.

    Keywords :

    Fuzzy set , Neutrosophic Set , Supply Chain Management (SCM) , Fuzzy Supply Chain Management (FSCM) , Neutrosophic Supply Chain Management (NSCM)

    References

    [1] I Toyin Adebayo. Supply chain management (scm) practices in nigeria today: impact on scm performance. European Journal of Business and Social Sciences, 1(6):107–115, 2012.

    [2] Firoz Ahmad. Interactive neutrosophic optimization technique for multiobjective programming problems: an application to phar- maceutical supply chain management. Annals of Operations Research, 311(2):551–585, 2022.

    [3] Mohammed Alshikho, Maissam Jdid, and Said Broumi. Artificial intelligence and neutrosophic machine learning in the diagnosis and detection of covid 19. Journal Prospects for Applied Mathematics and Data Analysis, 1(2), 2023.

    [4] Krassimir Atanassov and George Gargov. Elements of intuitionistic fuzzy logic. part i. Fuzzy sets and systems, 95(1):39–52, 1998.

    [5] Ahmet Aytekin, Basil Oluoch Okoth, Selc¸uk Korucuk, C¸ a˘glar Karamas¸a, and Erfan Babaee Tirkolaee. A neutrosophic approach to evaluate the factors affecting performance and theory of sustainable supply chain management: application to textile industry. Management Decision, 61(2):506–529, 2023.

    [6] Jørgen Bang-Jensen and Gregory Z Gutin. Digraphs: theory, algorithms and applications. Springer Science & Business Media, 2008.

    [7] Craig R Carter and P Liane Easton. Sustainable supply chain management: evolution and future directions. International journal of physical distribution & logistics management, 41(1):46–62, 2011.

    [8] Takaaki Fujita. Advancing Uncertain Combinatorics through Graphization, Hyperization, and Uncertainization: Fuzzy, Neutro- sophic, Soft, Rough, and Beyond. Biblio Publishing, 2025.

    [9] Mamun Habib. Supply chain management (scm): theory and evolution. Supply chain management-applications and simulations, 10:24573, 2011.

    [10] Aref A Hervani, Marilyn M Helms, and Joseph Sarkis. Performance measurement for green supply chain management. Benchmarking: An international journal, 12(4):330–353, 2005.

    [11] Mona Jaberidoost, Shekoufeh Nikfar, Akbar Abdollahiasl, and Rassoul Dinarvand. Pharmaceutical supply chain risks: a systematic review. DARU Journal of Pharmaceutical Sciences, 21:1–7, 2013.

    [12] Young Bae Jun, Kul Hur, and Kyoung Ja Lee. Hyperfuzzy subalgebras of bck/bci-algebras. Annals of Fuzzy Mathematics and Informatics, 2017.

    [13] Yongquan Lan, Yanzhi Li, and Felix Papier. Competition and coordination in a three-tier supply chain with differentiated channels. European Journal of Operational Research, 269(3):870–882, 2018.

    [14] Keyu Lu, Huchang Liao, and Edmundas Kazimieras Zavadskas. An overview of fuzzy techniques in supply chain management: Bib- liometrics, methodologies, applications and future directions. Technological and Economic Development of Economy, 27(2):402 458, 2021.

    [15] Zdzisław Pawlak. Rough sets. International journal of computer & information sciences, 11:341–356, 1982. [16] Mohammed Saad, Martyn Jones, and Peter James. A review of the progress towards the adoption of supply chain management (scm) relationships in construction. European Journal of Purchasing & Supply Management, 8(3):173–183, 2002.

    [17] Stefan Seuring and Martin M¨uller. From a literature review to a conceptual framework for sustainable supply chain management. Journal of cleaner production, 16(15):1699–1710, 2008.

    [18] Prem Kumar Singh et al. Dark data analysis using intuitionistic plithogenic graphs. International Journal of Neutrosophic Sciences, 16(2):80-100, 2021.

     [19] Rajesh Kr Singh, Ravinder Kumar, and Pravin Kumar. Strategic issues in pharmaceutical supply chains: a review. International Journal of Pharmaceutical and Healthcare Marketing, 10(3):234–257, 2016.

    [20] Florentin Smarandache. A unifying field in logics: Neutrosophic logic. In Philosophy, pages 1–141. American Research Press, 1999.

    [21] So Young Sohn and In Su Choi. Fuzzy qfd for supply chain management with reliability consideration. Reliability Engineering & System Safety, 72(3):327–334, 2001.

    [22] Samir K Srivastava. Green supply-chain management: a state-of-the-art literature review. International journal of management reviews, 9(1):53–80, 2007.

    [23] Vicenc¸ Torra and Yasuo Narukawa. On hesitant fuzzy sets and decision. In 2009 IEEE international conference on fuzzy systems, pages 1378–1382. IEEE, 2009.

    [24] Haydar Yalcin, Wanying Shi, and Zafrin Rahman. A review and scientometric analysis of supply chain management (scm). Opera- tions and Supply Chain Management: An International Journal, 13(2):123–133, 2020.

    [25] Seung Ho Yoo, Thomas Y Choi, and DaeSoo Kim. Multitier incentive strategies for quality improvement: Case of three-tier supply chain. Decision Sciences, 52(5):1137–1168, 2021.

     

    [26] Lotfi A Zadeh. Fuzzy sets. Information and control, 8(3):338–353, 1965.

    Cite This Article As :
    Fujita, Takaaki. A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM). Journal of Neutrosophic and Fuzzy Systems, vol. , no. , 2025, pp. 14-24. DOI: https://doi.org/10.54216/JNFS.100102
    Fujita, T. (2025). A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM). Journal of Neutrosophic and Fuzzy Systems, (), 14-24. DOI: https://doi.org/10.54216/JNFS.100102
    Fujita, Takaaki. A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM). Journal of Neutrosophic and Fuzzy Systems , no. (2025): 14-24. DOI: https://doi.org/10.54216/JNFS.100102
    Fujita, T. (2025) . A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM). Journal of Neutrosophic and Fuzzy Systems , () , 14-24 . DOI: https://doi.org/10.54216/JNFS.100102
    Fujita T. [2025]. A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM). Journal of Neutrosophic and Fuzzy Systems. (): 14-24. DOI: https://doi.org/10.54216/JNFS.100102
    Fujita, T. "A Reconsideration of the Mathematical Frameworks for Fuzzy and Neutrosophic Supply Chain Management (FSCM and NSCM)," Journal of Neutrosophic and Fuzzy Systems, vol. , no. , pp. 14-24, 2025. DOI: https://doi.org/10.54216/JNFS.100102