본문 바로가기
KERD
논문KCI 등재

Applications of interval \textit{t}-norm fuzzy ideals of hemirings with interval valued characteristic function

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

초록

This communication reports the notions of interval t-norm fuzzy subhemirings, interval t-norm fuzzy ideals, quasi ideals, bi ideals, interior ideals and generalized bi ideals of hemirings with interval valued characteristic function. Some examples of such ideals are also discussed.

Abstract

This communication reports the notions of interval t-norm fuzzy subhemirings, interval t-norm fuzzy ideals, quasi ideals, bi ideals, interior ideals and generalized bi ideals of hemirings with interval valued characteristic function. Some examples of such ideals are also discussed.

참고문헌 (19)

  1. J. Ahsan, "Semirings charaterized by their fuzzy ideals", J. Fuzzy Math, 6(1), pp.181~192 (1998)
  2. J. Ahsan, "Fuzzy quasi-ideals in semigroups", J. Fuzzy Math, 9(2), pp.259~270 (2001)
  3. L. B. Beasley, "Operators that preserves semiring matrix functions", Linear Algebra Appl, 99, pp.199~216 (1988)
  4. L. B. Beasley, "Linear operators strongly preserving idempotent matrices over semirings", Linear Algebra Appl, 160, pp.217~229 (1992)
  5. B. C. Bedregal, "The best interval representation of t-norms and automor-phisms", Fuzzy Sets and Systems, 157, pp.3220~3230 (2006)
  6. 전인흥, "On fuzzy bi-ideals in semigroups", 한국수학논문집, 19(3), pp.321~330 (2011), 강원경기수학회
  7. K. Glazek, "A guide to litrature on semirings and their applications in mathematics and infor-mation sciences: with complete bibliography" (2002), Kluwer Acad. Publ
  8. S. Ghosh, "Matrices over semirings", Inform. Sci, 90, pp.221~230 (1996)
  9. U. Hebisch, "Semirings: Algebraic Theory and Applications in the Computer Science" (1998), World Scientific
  10. Z. Jian-ming, "On Fuzzy Interior Ideals in Semigroups", Journal of Mathematical Research & Exposition, 28, pp.103~110 (2008)
  11. J. N. Mordeson, "Fuzzy Automata and Languages, Theory and Applications", pp.2002, Chapman and Hall
  12. M. M. K. Rao, "A study of a generalization of bi ideal, quasi ideal and interior ideal of semigroup", MATH. MORAV, 22, pp.103~115 (2018)
  13. M. Shabir, "On interval valued fuzzy ideals in hemirings", Ann. Fuzzy Math. Inform, 4(1), pp.49~62 (2012)
  14. B. Schweizer, "Statistical mertic spaces", Pacific J. Math, 10, pp.313~334 (1960)
  15. 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)
  16. L. A. Zadeh, "Fuzzy sets", Inf. Control, 8, pp.338~353 (1965)
  17. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning, Part 1", Inform. Sci, 8, pp.199~249 (1975)
  18. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning, Part 2", Inform. Sci, 8, pp.301~357 (1975)
  19. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning, Part 3", Inform. Sci, 9, pp.43~80 (1976)

관련 논문AI추천

이 간행물의 다른 논문 (6건)