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Some decompositions of filters in residuated lattices Cover

References

  1. [1] R. Balbes, P. Dwinger, Distributive lattices, University of Missouri Press, Colombia, 1974.
  2. [2] K. Blount, C. Tsinakis, The structure of residuated lattices, Internat. J. Algebra Comput. 13(4) (2003) 437-461.10.1142/S0218196703001511
  3. [3] D. Buşneag, D. Piciu, Some types of filters in residuated lattices, Soft Computing 18(5) (2014) 825-837.10.1007/s00500-013-1184-6
  4. [4] D. Buşneag, D. Piciu, A new approach for classification of filters in residuated lattices, Fuzzy Sets and Systems 260 (2015)121-130.10.1016/j.fss.2014.07.022
  5. [5] D. Buşneag, D. Piciu, Semi-G- filters, Stonean filters, MTL-filters, divisible filters, BL-filters and regular filters in residuated lattices, Iranian Journal of Fuzzy Systems 13(1) (2016) 145-160.
  6. [6] L. Ciungu, Non-commutative Multiple - Valued Logic Algebras, Springer, 2013.10.1007/978-3-319-01589-7
  7. [7] R. Dilworth, Non-commutative residuated lattices, Trans. Amer. Math. Soc. 46 (1939) 426-444.10.1090/S0002-9947-1939-0000230-5
  8. [8] N. Galatos, P. Jipsen, T. Kowalski, H. Ono, Residuated lattices: an algebraic glimpse at structural logic, Studies in logic and the foundation of math., Vol. 151, Elsevier Science, 2007.
  9. [9] P. Hájek, Metamathematics of Fuzzy Logic, Trends in Logic-Studia Logica Library 4, Dordrecht: Kluwer Academic Publishers, 1998.10.1007/978-94-011-5300-3
  10. [10] A. Iorgulescu, Algebras of logic as BCK algebras, Academy of Economic Studies Bucharest, Romania, 2008.
  11. [11] W. Krull, Axiomatische Begründung der allgemeinen Ideal theorie, Sitzungsberichte der physikalisch medizinischen Societäd der Erlangen 56 (1924) 47-63.
  12. [12] D. Piciu, Algebras of fuzzy logic, Ed. Universitaria, Craiova, 2007.
  13. [13] E. Turunen, Mathematics Behind Fuzzy Logic, Physica-Verlag, 1999.
  14. [14] M. Ward, R. Dilworth, Residuated lattices, Trans. Am. Math. Soc. 45 (1939) 335-354.10.1090/S0002-9947-1939-1501995-3
  15. [15] M. Zhen Ming, MTL-filters and their characterizations in residuated lattices, Computer Engineering and Applications 48(20) (2012) 64-66.
DOI: https://doi.org/10.2478/auom-2019-0011 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 211 - 231
Submitted on: Jan 30, 2018
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Published on: Mar 2, 2019
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2019 Dana Piciu, Christina Theresia Dan, Florentina Chirteş, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.