Korean Journal of Mathematics

  • 제28권3호
  • /
  • Pages.509-524
  • /
  • 2020
  • /
  • 1976-8605(pISSN)
  • /
  • 2288-1433(eISSN)
강원경기수학회 (The Kangwon-Kyungki Mathematical Society)
권호 표지
DOI QR코드

DOI QR Code

CLOSURE FILTERS AND PRIME FUZZY CLOSURE FILTERS OF MS-ALGEBRAS

  • 투고 : 2020.08.10
  • 심사 : 2020.08.24
  • 발행 : 2020.09.30
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The notion of fuzzy closure filters is introduced and discussed in an MS-algebra. In particular, we characterize the prime fuzzy closure filters in terms of boosters. Some relationship between the lattice of fuzzy closure filters and the fuzzy ideal lattice of boosters are explored and investigated.

키워드

참고문헌

  1. Abd El-Mohsen Badawy and R. El-Fawal, Closure Filters of Decomposable MS-Algebras, Southeast Asian Bulletin of Mathematics 44 (2020), 177-194.
  2. N. Ajmal, Fuzzy lattice, Inform. Sci. 79(1994), 271-291. https://doi.org/10.1016/0020-0255(94)90124-4
  3. M. Attallah, Completely fuzzy prime ideals of distributive lattices, The Journal of Fuzzy Mathematics 08 (1) (2000), 151-156.
  4. B. A. Alaba and T. G. Alemayehu, Clousure fuzzy ideals of MS-algebras, Ann. Fuzzy Math. Inform. 16 (2) (2018), 247-260. https://doi.org/10.30948/afmi.2018.16.2.247
  5. T. S. Blyth and J. C. Varlet, On a common abstraction of de Morgan and Stone algebras, Proc.Roy.Soc.Edinburgh Sect. A 94 (3-4)(1983), 301-308. https://doi.org/10.1017/S0308210500015663
  6. T. S. Blyth and J. C. Varlet, Subvarieties of the class of MS-algebras, Proc.Roy. Soc. Edinburgh Sect.A, 95 (1-2)(1983), 157-169. https://doi.org/10.1017/S0308210500015869
  7. U. M. Swamy and D. V. Raju, Fuzzy ideals and congruences of lattices, Fuzzy sets and systems, 95 (1998), 249-253. https://doi.org/10.1016/S0165-0114(96)00310-7
  8. U. M. Swamy and D. V. Raju, Irreducibility in algebraic fuzzy systems, Fuzzy Sets and Systems, 41 (1991), 233-241. https://doi.org/10.1016/0165-0114(91)90227-H
  9. Bo. Yuan and W. Wu, Fuzzy ideals on a distributive lattice, Fuzzy Sets and Systems, 35 (1990), 231-240. https://doi.org/10.1016/0165-0114(90)90196-D
  10. L. A. Zadeh, Fuzzy sets, Information and Control, 08 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  11. M. Attallah, Completely fuzzy prime ideals of distributive lattices, The Journal of Fuzzy Mathematics, 08(1) (2000), 151-156.
  12. B. A. Davey and H. A. Priestley, Introduction to Lattices and order, Second edition Cambrige (2002).
  13. B. B. N. Koguep , C. Nkuimi and C. Lele, On Fuzzy prime ideals of lattice, SJPAM 03 (2008), 1-11.