PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
Tytuł artykułu

Anti Fuzzy filters of pseudo-BL-algebras

Identyfikatory
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Characterizations of anti fuzzy filters in a pseudo-BL-algebra are established. Conditions for a fuzzy set to be an anti fuzzy filter are given. Finally, a study anti of fuzzy prime filters and characterizations of linearly ordered pseudo-BL-algebras via anti fuzzy filters are given.
Słowa kluczowe
Rocznik
Strony
155--165
Opis fizyczny
Bibliogr. 18 poz.
Twórcy
  • Institute op Mathematics and Physics, University of Natural Sciences and Humanities Maja 54, 08-110 Siedlce, Poland, magdawojciechowska6@wp.pl
Bibliografia
  • [1] C. C. Chang, Algebraic analysis of many valued logic, Trans. Amer, Math. Soc. 88 (1958), 447-490.
  • [2] A. Di Nola, G. Georgescu, A. Iorgulescu, Pseudo-BL algebras I, Multiple-Valued Logic 8 (2002), 673-714.
  • [3] A. Di Nola, G. Georgescu, A. Iorgulescu, Pseudo-BL algebras II, Multiple-Valued Logic 8 (2002), 715-750.
  • [4] G. Dymek, Fuzzy prime ideals of pseudo-MV algebras, Soft Comput. 12 (2008) 365-372.
  • [5] A. Dvurecenskij, S. Pulmannova, New trends in quantum structures, Kluwer Acad. Publ.,Dordrecht, Ister Science, Bratislava, 2000.
  • [6] G.Georgescu, A. Iorgulescu, Pseudo MV-algebras: a noncommutative extention of MV-algebms, The Proceeding of the Fourth International Symposium on Economic Informatics, Bucharest, Romania. May 1999, 961-968.
  • [7] G.Georgescu, A. Iorgulescu, Pseudo BL-algebras: a noncommutative extention of BL-algebras, Abstracts of the Fifth International Conference FSTA 2000, Slovakia 2000, 90-92.
  • [8] G. Georgescu, L. L. Leustean, Some classes of pseudo-BL algebras, J. Austral. Math. Soc. 73 (2002), 127-153.
  • [9] P. Hajek, Mathematics of fuzzy logic, Inst. of Comp. Science, Academy of Science of Czech Rep. Technical report 682 (1996).
  • [10] P. Hajek, Mathematics of fuzzy logic, Kluwer Acad. Publ., Dordrecht, 1998.
  • [11] C. S. Hoo, Fuzzy ideals of BCI and MV-algebras, Fuzzy Sets Syst. 62 (1994) 111-114.
  • [12] C. S. Hoo, Fuzzy implicative and Boolean ideals of MV-algebras, Fuzzy Sets Syst. 66 (1994) 315-327.
  • [13] S. M. Hong, Y. B. Jun, Anti fuzzy ideals in BCK-algebras, KYUNGPOOK Math. J. 38 (1998), 145-150.
  • [14] W. K. Jeong, On anti fuzzy prime ideals in BCK-algebras, Journal of the Chungcheong Math. Society, v. 12 (1999), 15-21.
  • [15] Y. B. Jun, A. Walendziak, Fuzzy ideals of pseudo-MV algebras, Int. Rev. Fuzzy Math. 1 (2006), 21-31.
  • [16] J. Rachunek, A non-commutative generalization of MV algebras, Czechoslovak Math. J. 52- (2002), 255-273.
  • [17] J. Rachunek, D. Salounova, Fuzzy filters and fuzzy prime filters of bounded Rt-monoids and pseudo BL-algebras, Information Sciences 178 (2008), 3474-3481.
  • [18] L. A. Zadeh, Fuzzy sets, Inform. Control 8 (1965), 338-353.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUS8-0023-0053
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.