AL – STRUCTURE ON LEAST EIGEN FUZZY SYSTEMS

  • Unique Paper ID: 185737
  • PageNo: 3035-3038
  • Abstract:
  • In 1965, L.A.Zadeh introduced the notion of fuzzy sets, to evaluate the modern concept of uncertainty in real physical world. In 2010, Tamilarasi and Manimegalai introduced a new class of algebras called TM-algebras. An eigen fuzzy set of a fuzzy relation is often invariant under different computational aspects. The present research introduces a novel concept of eigen spherical fuzzy set of spherical fuzzy relations along with various composition operators for the first time. This study proposed two algorithms to determine the greatest eigen spherical fuzzy sets and least eigen spherical fuzzy sets using the max-min and min-max composition operators, respectively. AMS Classification: 08A72, 03E72

Copyright & License

Copyright © 2026 Authors retain the copyright of this article. This article is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

BibTeX

@article{185737,
        author = {M.Annalakshmi},
        title = {AL – STRUCTURE ON LEAST EIGEN FUZZY SYSTEMS},
        journal = {International Journal of Innovative Research in Technology},
        year = {2025},
        volume = {12},
        number = {5},
        pages = {3035-3038},
        issn = {2349-6002},
        url = {https://ijirt.org/article?manuscript=185737},
        abstract = {In 1965, L.A.Zadeh introduced the notion of fuzzy sets, to evaluate the modern concept of uncertainty in real physical world. In 2010, Tamilarasi and Manimegalai introduced a new class of algebras called TM-algebras. An eigen fuzzy set of a fuzzy relation is often invariant under different computational aspects. The present research introduces a novel concept of eigen spherical fuzzy set of spherical fuzzy relations along with various composition operators for the first time. This study proposed two algorithms to determine the greatest eigen spherical fuzzy sets and least eigen spherical fuzzy sets using the max-min and min-max composition operators, respectively. 
AMS Classification: 08A72, 03E72},
        keywords = {BCK/BCI Algebra, TM-Algebra, Fuzzy Matrix},
        month = {October},
        }

Cite This Article

M.Annalakshmi, (2025). AL – STRUCTURE ON LEAST EIGEN FUZZY SYSTEMS. International Journal of Innovative Research in Technology (IJIRT), 12(5), 3035–3038.

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