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Relations between Regular Uni-soft Filters and Uni-soft $MV$-filters in Residuated Lattices

전영배|박철환|Ghulam Muhiuddin
경북대학교 자연과학대학 수학과|2017.03|Kyungpook Mathematical Journal|제57권 제1호|pp. 85-97

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참고문헌

키워드

Residuated lattice(Booleanregular) uni-soft filterUni-soft $G$-filterUni-soft $MV$-filter
주제분류수학

초록

The notions of regular uni-soft filters, uni-soft $MV$-filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft $MV$-filters and Boolean uni-soft filters are discussed.Relations between regular uni-soft filters and uni-soft $MV$-filters are considered. It is shown that the notion of a uni-soft $MV$-filter coincides with the notion of a regular uni-soft filter in $BL$-algebras.

Abstract

The notions of regular uni-soft filters, uni-soft $MV$-filters and Boolean uni-soft filters are introduced, and related properties are investigated. Characterizations of regular uni-soft filters, uni-soft $MV$-filters and Boolean uni-soft filters are discussed.Relations between regular uni-soft filters and uni-soft $MV$-filters are considered. It is shown that the notion of a uni-soft $MV$-filter coincides with the notion of a regular uni-soft filter in $BL$-algebras.

참고문헌 (26)

  1. U. Acar, "Soft sets and soft rings", Comput. Math. Appl, 59, pp.3458~3463 (2010)
  2. S. S. Ahn, "Int-soft filters of BE-algebras", Discrete Dyn. Nat. Soc., pp.8~ (2013)
  3. H. Aktas, "Soft sets and soft groups", Inform. Sci., 177, pp.2726~2735 (2007)
  4. A. O. Atagun, "Soft substructures of rings, fields and modules", Comput. Math. Appl., 61, pp.592~601 (2011)
  5. R. Belohlavek, "Some properties of residuated lattices", Czechoslovak Math. J., 53(123), pp.161~171 (2003)
  6. N. Cagman, "Soft set theory and uni-int decision making", Eur. J. Oper. Res, 207, pp.848~855 (2010)
  7. F. Esteva, "Monoidal t-norm based logic: towards a logic for leftcontinuous t-norms", Fuzzy Sets and Systems, 124, pp.271~288 (2001)
  8. F. Feng, "Soft semirings", Comput. Math. Appl., 56, pp.2621~2628 (2008)
  9. P. Hajek, "Metamathematics of Fuzzy Logic" (1998), Kluwer Academic Press
  10. Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.56, 1408~1413
  11. 전영배, "Union-soft sets with applications in BCK", BCI-algebras, 2013, pp.50(6), 1937~1956[DOI]
  12. Y. B. Jun, "Intersection-soft filters in R0-algebras", Discrete Dyn. Nat. Soc., pp.7~ (2013)
  13. Y. B. Jun, "Soft set theory applied to ideals in d-algebras", Comput. Math. Appl., 57, pp.367~378 (2009)
  14. Y. B. Jun, "Soft p-ideals of soft BCI-algebras", Comput. Math. Appl., 58, pp.2060~2068 (2009)
  15. Y. B. Jun, "Applications of soft sets in ideal theory of BCK", BCIalgebras, 2008, pp.178, 2466~2475
  16. Y. B. Jun, "Uni-soft filters and uni-soft G-filters in residuated lattices", J. Comput. Anal Appl., 20(2), pp.319~334 (2016)
  17. Y. B. Jun, "Union soft sets applied to commutative BCIalgerbas", J. Comput. Anal Appl., 16(3), pp.468~477 (2014)
  18. P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl., 44, pp.1077~1083 (2002)
  19. D. Molodtsov, "Soft set theory - First results", Comput. Math. Appl., 37, pp.19~31 (1999)
  20. 박철환, "Soft WS-algebras", 대한수학회논문집, 23(3), pp.313~324 (2008), 대한수학회
  21. J. G. Shen, "Filters of residuated lattices", Chin. Quart. J. Math, 21, pp.443~447 (2006)
  22. E. Turunen, "BL-algebras of basic fuzzy logic", Mathware & Soft Computing, 6, pp.49~61 (1999)
  23. E. Turunen, "Boolean deductive systems of BL-algebras", Arch. Math. Logic, 40, pp.467~473 (2001)
  24. J. Zhan, "Soft BL-algebras based on fuzzy sets", Comput. Math. Appl., 59, pp.2037~2046 (2010)
  25. X. H. Zhang, "On fuzzy logic algebraic system MTL", Adv. Syst. Sci. Appl., 5, pp.475~483 (2005)
  26. Y. Q. Zhu, "On filter theory of residuated lattices", Inform. Sci., 180, pp.3614~3632 (2010)

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