Volume 25 • Issue 2 • PP: 254-262 • 2025
A note on Category of SuperHyper BCI-Algebra
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© 2025 The Author(s). Published by ASPG. This article is licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
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In this paper, we have put forward the SH-homo and 0−preserving SH-homo to compare two SH groupoids along with few examples. Some properties of SH-homo and 0−preserving SH-homo are explored. Also, we proved the SH-homo between two SuperHyper BCI-Algebra is 0−preserving SH-homo. Finally, the category of SuperHyper Groupoid, SuperHyper BCI-Algebra and Neutrosophic SuperHyper BCI-Algebra were investigated.
Keywords
References
[1] Jiˇr´ı Ad´amek, Horst Herrlich, and George Strecker. Abstract and concrete categories. Wiley- Interscience, 1990.
[2] Krassimir T. Atanassov. Intuitionistic fuzzy sets. Fuzzy Sets and Systems, 20(1):87–96, 1986.
[3] Samuel Eilenberg and Saunders MacLane. General theory of natural equivalences. Transactions of the American Mathematical Society, 58(2):231–294, 1945.
[4] Patrik Eklund, M Angeles Galan, Robert Helgesson, and Jari Kortelainen. Fuzzy terms. Fuzzy Sets and Systems, 256:211–235, 2014.
[5] Jaime G´omez-Ram´ırez. A new foundation for representation in cognitive and brain science. Netherland. Netherlands: Springer, pages 141–60, 2014.
[6] John Harding, Carol Walker, and Elbert Walker. Categories with fuzzy sets and relations. Fuzzy sets and Systems, 256:149–165, 2014.
[7] H Herrlich and GE Strecker. Category theory, allyn bacon, 1979.
[8] Seok Jong Lee and Eun Pyo Lee. The category of intuitionistic fuzzy topological spaces. Bulletin- Korean Mathematical Society, 37(1):63–76, 2000.
[9] Jir´ı Mockor. Fuzzy sets in categories of sets with similarity relations. In Computational Intelligence, Theory and Applications: International Conference 9th Fuzzy Days in Dortmund, Germany, Sept. 18– 20, 2006 Proceedings, pages 677–682. Springer, 2006.
[10] Hossein Rashmanlou, Sovan Samanta, Madhumangal Pal, and Rajab Ali Borzooei. Intuitionistic fuzzy graphs with categorical properties. Fuzzy information and Engineering, 7(3):317–334, 2015.
[11] S Santhakumar, IR Sumathi, and J Mahalakshmi. A novel approach to the algebraic structure of neutrosophic superhyper algebra. Neutrosophic Sets and Systems, 60(1):39, 2023.
[12] Poonam Kumar Sharma, Chandni, and Nitin Bhardwaj. Category of intuitionistic fuzzy modules. Mathematics, 10(3):399, 2022.
[13] Florentin Smarandache. A unifying field in logics: Neutrosophic logic. In Philosophy, pages 1–141. American Research Press, 1999.
[14] Florentin Smarandache. Introduction to superhyperalgebra and neutrosophic superhyperalgebra. Journal of Algebraic Hyperstructures and Logical Algebras, 3, 03 2022.
[15] Lawrence Neff Stout. Topoi and categories of fuzzy sets. Fuzzy Sets and Systems, 12(2):169–184, 1984.
[16] Michio Sugeno and Moritoshi Sasaki. L-fuzzy category. Fuzzy Sets and Systems, 11(1-3):43–64, 1983.
[17] Carol L Walker. Categories of fuzzy sets. Soft Computing, 8:299–304, 2004.
[18] CK Wong. Categories of fuzzy sets and fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 53(3):704–714, 1976.
[19] Lotfi Asker Zadeh. Fuzzy sets. Information and control, 8(3):338–353, 1965.
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