본문 바로가기
KERD
논문KCI 등재

On interval valued ( alpha ,beta )-fuzzy ideals of hemirings

2

조회

0

다운로드

0

인용

0

참고문헌

주제분류수학

초록

In this paper we de ne interval valued (∈,∈ Vq)-fuzzy hquasi-ideals, interval valued (∈,∈ Vq)-fuzzy h-bi-ideals, interval valued [수식]-fuzzy h-ideals, interval valued [수식]-fuzzy h-quasi-ideals,interval valued [수식]-fuzzy h-bi-ideals and characterize di erent classes of hemirings by the properties of these ideals.

Abstract

In this paper we de ne interval valued (∈,∈ Vq)-fuzzy hquasi-ideals, interval valued (∈,∈ Vq)-fuzzy h-bi-ideals, interval valued [수식]-fuzzy h-ideals, interval valued [수식]-fuzzy h-quasi-ideals,interval valued [수식]-fuzzy h-bi-ideals and characterize di erent classes of hemirings by the properties of these ideals.

참고문헌 (15)

  1. J. Ahsan, "Semirings characterized by their fuzzy ideals", J. Fuzzy Math, 6, pp.181~192 (1998)
  2. W. A. Dudek, "(α; β)-Fuzzy ideals of Hemirings", Comput. Math. Appl, 58, pp.310~321 (2009)
  3. S. Ghosh, "Fuzzy k-ideals of semirings", Fuzzy Sets Syst, 95, pp.103~108 (1998)
  4. J. S. Golan, "Semirings and their applications" (1999), Kluwer Acad. Publ
  5. M. Henriksen, "Ideals in semirings with commutative addition", Amer. Math. Soc. Notices, 6, pp.321~ (1958)
  6. K. Iizuka, "On Jacobson radical of a semiring", Tohoku Math. J, 11, pp.409~421 (1959)
  7. Y. B. Jun, "On fuzzy h-ideals in hemirings", Inform. Sci, 162, pp.211~226 (2004)
  8. X. Ma, "On fuzzy h-ideals of hemirings", J. Syst. Sci. Complexity, 20, pp.470~478 (2007)
  9. X. Ma, "Generalized fuzzy h-bi-ideals and h-quasi-ideals of hemirings", Inform. Sci, 179, pp.1249~1268 (2009)
  10. M. Shabir, "Characterizations of Hemirings by Interval Valued Fuzzy Ideals", Quasigroups and Related Systems, 19, pp.101~113 (2011)
  11. G. Sun, "Interval valued fuzzy h-ideals of Hemirings", Int. Math. Forum, 통권 : 5, pp.545~556 (2010)
  12. H. S. Vandiver, "Note on a simple type of algebra in which cancellation law of addition does not hold", Bull. Amer. Math. Soc, 40, pp.914~920 (1934)
  13. Y. Q. Yin, "The charatecrizations of h-hemiregular hemirings and h-intra-hemiregular hemirings", Inform. Sci, 178, pp.3451~3464 (2008)
  14. L. A. Zadeh, "Fuzzy Sets", Information and Control, 8, pp.338~353 (1965)
  15. J. Zhan, "Fuzzy h-ideals of hemirings", Inform. Sci, 177, pp.876~886 (2007)

관련 논문AI추천

이 간행물의 다른 논문 (8건)