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On fuzzy dot hyper K-ideal of a hyper K-algebra

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In this paper, the methods introduced in fuzzy dot d- subalgebras and fuzzy dot BF-subalgebras are applied on fuzzy hyper K-ideals of a hyper K-algebra. The concepts of a fuzzy dot hyper K- subalgebra, a fuzzy dot hyper K-ideal, a fuzzy dot weak hyper K-ideal and the Cartesian product in a fuzzy dot hyper K-algebra are discussed. Furthermore, homomorphism in fuzzy dot hyper K-algebras is investigated.

Abstract

In this paper, the methods introduced in fuzzy dot d- subalgebras and fuzzy dot BF-subalgebras are applied on fuzzy hyper K-ideals of a hyper K-algebra. The concepts of a fuzzy dot hyper K- subalgebra, a fuzzy dot hyper K-ideal, a fuzzy dot weak hyper K-ideal and the Cartesian product in a fuzzy dot hyper K-algebra are discussed. Furthermore, homomorphism in fuzzy dot hyper K-algebras is investigated.

참고문헌 (13)

  1. M. Aslam Malik, "Fuzzy hyper P-ideals of hyper BCK-algebras, Faculty of Sciences and Mathematics", University of Nis, Serbia, 29(8), pp.1769~1780 (2015)
  2. Tefera Gerima, "Characterization of homomorphism on implication algebras", J. Appl. Math. snd Informatics, 40(1-2), pp.317~325 (2022)[DOI]
  3. Dejen Tefera Gerima, "Hilbert Implication Algebra and Some Properties", Journal of Applied Mathematics, 2021, pp.1~5 (2021)
  4. Zadeh, L. A., "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)
  5. Assaye Berhanu, "P0-almost distributive fuzzy lattice", Journal of Pure and applied Mathematics : Advances and Applications, 25(1), pp.1~21 (2022)
  6. Rajab Ali Borzooei, "On hyper K-algebras", Math. Japonica, 52(1), pp.113~121 (2000)
  7. Pengfei He, "Fuzzy hyper lattices", Computers and Mathematics with appli-cations, 62, pp.4682~4690 (2011)
  8. Farhat Nisar, "Fuzzy ideals in hyper BCI-algebras", World Applied Sciences Journal, 16(12), pp.1771~1777 (2012)
  9. Akefe Radfar, "Hyper BE-algebras", Novi sad J. Math, 44(2), pp.137~147 (2014)
  10. Rajab Ali Borzooei, "Fuzzy structure of hyper K-algebras", In-ternational Journal of Uncertainity, Fuzziness and Knowledge Based systems, 10(1), pp.77~93 (2002)
  11. Rohaima M. Amairanto, "Fuzzy sets in Hyper UP-algebras", European Journal of pure and applied Mathematics, 14(4), pp.1388~1401 (2021)
  12. Dejen Tefera Gerima, "Structure of fuzzy dot d-subalgebras", Journal of Applied Mathematic-sand computation, 4(4), pp.130~136 (2020)
  13. Tefera Gerima, "Structure of fuzzy dot BF-subalgebras", International Journal of Mathematics and Computer insimulation, 14, pp.68~72 (2020)

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