DOI QR코드

DOI QR Code

ORDERED FUZZY FILTERS OF HEYTING ALMOST DISTRIBUTIVE LATTICES

  • 투고 : 2020.10.08
  • 심사 : 2021.08.04
  • 발행 : 2021.09.30

초록

In this paper the concept of ordered fuzzy filters is introduced in Heyting almost distributive lattices and the properties of these ordered fuzzy filters are studied. We characterized and proved a set of theorems of ordered fuzzy filters. Some topological properties of prime ordered fuzzy filters are also studied.

키워드

참고문헌

  1. B.A. Alaba and T.G. Alemayehu, e-Fuzzy filters of MS-algebras, Korean J. Math. 27 (2019), 1159-1180. https://doi.org/10.11568/kjm.2019.27.4.1159
  2. G.M. Addis Fuzzy prime spectrum of C-algebras , Korean J. Math. 28 (2020), 49-64. https://doi.org/10.11568/kjm.2020.28.1.49
  3. C.K. Wong, Fuzzy point and local properties of fuzzy topology, J. Math. Anal. Appl. 46 (l974), 316-328. https://doi.org/10.1016/0022-247X(74)90242-X
  4. G.C. Rao, B. Assaye and M.V.R. Mani, Heyting almost distributive lattices, Inter. J. Computational Cognition 8 (2010), 85-89.
  5. A. Rosenfeld, Fuzzy groups, J. Math. Anal. Appl. 35 (1971), 512-517. https://doi.org/10.1016/0022-247X(71)90199-5
  6. M. Sambasiva Rao and G.C. Rao, Some topological properties of the prime spectrum of heyting almost distributive lattices, South Asian Bulletin of Mathematics 42 (2018), 267-278.
  7. M. Sambasiva Rao and G.C. Rao, The space of prime order filters of heyting almost distributive lattices, South Asian Bulletin of Mathematics 39 (2015), 865-875.
  8. M. Sambasiva Rao and G.C. Rao, Order filters of heyting almost distributive lattices, European Journal of Mathematical Sciences 2 (2013), 140-151.
  9. U.M. Swamy and G.C. Rao, Almost distributive lattices, J. Aust. Math. Soc.(Series A) 31 (1981), 77-91. https://doi.org/10.1017/S1446788700018498
  10. U.M. Swamy, C. Santhi Sundar Raj and N. Teshale, Fuzzy ideals of almost distributive lattices, Ann. Fuzzy Math. Inform. 14 (2017), 371-379. https://doi.org/10.30948/AFMI.2017.14.4.371
  11. U.M. Swamy, C. Santhi Sundar Raj and A. Natnael Teshale, L-fuzzy filters of almost distributive lattices, I.J.M.S.C. 8 (2018), 35-43.
  12. B. 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
  13. L.A. Zadeh, Fuzzy sets, Inform. and Control 8 (1965), 338-353. https://doi.org/10.1016/S0019-9958(65)90241-X
  14. L.A. Zadeh, Similarity relations and fuzzy orderings, Information Science 3 (1971), 177-200. https://doi.org/10.1016/S0020-0255(71)80005-1