본문 바로가기
KERD
논문KCI 등재

Soft Hemirings Related to Fuzzy Set Theory

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, we investigate soft hemirings by fuzzy theory. Some characterizations of hemirings are introduced by means of soft sets. In particular, the h-hemiregular hemirings and h-intra-hemiregular hemirings are also characterized.

Abstract

In this paper, we investigate soft hemirings by fuzzy theory. Some characterizations of hemirings are introduced by means of soft sets. In particular, the h-hemiregular hemirings and h-intra-hemiregular hemirings are also characterized.

참고문헌 (34)

  1. H. Aktas, "Soft sets and soft groups", Inform. Sci., 177, pp.2726~2735 (2007)
  2. M.I. Ali, "On soft ideals over semigroups", Southeast Asian Bull. Math., 34, pp.595~611 (2010)
  3. A.O. Atagun, "Soft substructures of rings, fields and modules", Comput. Math. Appl., 61(3), pp.592~601 (2011)
  4. S.K. Bhakat, "(2; 2 _q)-fuzzy subgroups", Fuzzy Sets Syst., 80, pp.359~368 (1996)
  5. D. Chen, "The parametrization reduction of soft sets and its applications", Comput. Math. Appl., 49, pp.757~763 (2005)
  6. F. Feng, "Soft sets combined with fuzzy sets and rough sets: a tentative approach", Soft Comput., 14, pp.899~911 (2010)
  7. 전영배, "Soft sets and soft rough sets", INFORMATION SCIENCES, 181(6), pp.1125~1137, ELSEVIER SCIENCE INC
  8. 전영배, "Soft semirings", COMPUTERS MATHEMATICS WITH APPLICATIONS, 56(10), pp.2621~2628, PERGAMON-ELSEVIER SCIENCE LTD
  9. K. Gong, "The bijective soft set with its operations", Comput. Math. Appl., 60, pp.2270~2278 (2010)
  10. M. Henriksen, "Ideals in semirings with commutative addtion", Amer. Math. Soc. No- tices, 6, pp.321~ (1958)
  11. K. Iizuka, "On the Jacobson radial of a semiring", Tohoku Math. J., 11, pp.409~421 (1959)
  12. 전영배, "Soft BCK", BCI-algebras, 200809, pp.56(0), 1408~1413[DOI]
  13. Y.B. Jun, "On fuzzy h-ideals in hemirings", Inform. Sci., 162, pp.211~226 (2004)
  14. 전영배, "Applications of soft sets in ideal theory of BCK", BCI-algebras, 2008, pp.178(0), 2466~2475[DOI]
  15. X. Liu, "Normal soft groups", Journal of Hubei University for Nationalities(Natural Science Edition), 27(2), pp.168~170 (2009)
  16. X. Liu, "Soft rings related to fuzzy set theory", ~
  17. X. Ma, "Generalized fuzzy h-bi-ideals and fuzzy h-quasi-ideals of hemirings", Inform. Sci., 179, pp.1249~1268 (2009)
  18. X. Ma, "On fuzzy h-ideals of hemirings", J. Syst. Sci. Complexity, 20, pp.470~478 (2007)
  19. P.K. Maji, "Soft set theory", Comput. Math. Appl., 45, pp.555~562 (2003)
  20. P.K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl., 44, pp.1077~1083 (2002)
  21. P. Majumdar, "On soft mappings", Comput. Math. Appl., 60(9), pp.2666~2672 (2010)
  22. D. Molodtsov, "Soft set theory-first results", Comput. Math. Appl., 37, pp.19~31 (1999)
  23. A. Sezgin, "On operations of soft sets", Comput. Math. Appl., 61(5), pp.1457~1467 (2011)
  24. M. Shabir, "On soft topological spaces", Comput. Math. Appl., 61, pp.1786~1799 (2011)
  25. D. Xiang, "Summary report of soft set theory", Journal of Hubei University for Nationalities (Natural Science Edition), 27(4), pp.361~365 (2009)
  26. Y. Yin, "The characterizations of h-semisimple hemirings", Int. J. Fuzzy Syst., 11, pp.116~122 (2009)
  27. Y. Yin, "The characterizations of h-hemiregular hemirings and h-intra- hemiregular hemirings", Inform. Sci., 178, pp.3451~3464 (2008)
  28. L.A. Zadeh, "Fuzzy sets", Inform. Control, 8, pp.338~353 (1965)
  29. L.A. Zadeh, "Toward a generalized theory of uncertainty (GTU)-an outline", Inform. Sci., 172, pp.1~40 (2005)
  30. J. Zhan, "L-fuzzy h-ideals with operators in hemirings", Northeast. Math. J., 23, pp.1~14 (2007)
  31. J. Zhan, "On properties of fuzzy left h-ideals in hemirings", Int. J. Math. Math. Sci., 19, pp.3127~3144 (2005)
  32. J. Zhan, "Fuzzy h-ideals of hemirings", Inform. Sci., 177, pp.876~886 (2007)
  33. J. Zhan, "Intuitionistic M-fuzzy h-ideals in M-hemirings", J. Fuzzy Math., 14, pp.929~945 (2006)
  34. J. Zhan, "T-fuzzy k-ideals of semirings", Sci. Math. Japon., 58, pp.597~601 (2003)

관련 논문AI추천

이 간행물의 다른 논문 (9건)