본문 바로가기
KERD
논문KCI 등재

On fuzzy bi-ideals in semigroups

전인흥
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2011.09|한국수학논문집 (Korean Journal of Mathematics)|제19권 제3호|pp. 321-330

1

조회

0

다운로드

3

인용

0

참고문헌

키워드

t-normregular semigroupfuzzy bi-ideal
주제분류수학

초록

We characterize the fuzzy bi-ideal generated by a fuzzy subset in a semigroup and the fuzzy bi-ideal generated by a fuzzy subset $A$ such that $A \subseteq A^2$ in a semigroup with an identity element. Our work generalizes the characterization of fuzzy bi-ideals by Mo and Wang ([8]).

Abstract

We characterize the fuzzy bi-ideal generated by a fuzzy subset in a semigroup and the fuzzy bi-ideal generated by a fuzzy subset $A$ such that $A \subseteq A^2$ in a semigroup with an identity element. Our work generalizes the characterization of fuzzy bi-ideals by Mo and Wang ([8]).

참고문헌 (13)

  1. J.M. Anthony, "Fuzzy groups redened", J. Math. Anal. Appl, 69, pp.124~130 (1979)
  2. N. Kuroki, "Fuzzy bi-ideals in semigroups", Comment. Math. Univ. St. Pauli, 28, pp.17~21 (1979)
  3. N. Kuroki, "On fuzzy ideals and bi-ideals in semigroups", Fuzzy Sets and Systems, 5, pp.203~215 (1981)
  4. N. Kuroki, "Fuzzy semiprime ideals in semigroups", Fuzzy Sets and Systems, 8, pp.71~79 (1982)
  5. N. Kuroki, "On fuzzy semigroups", Inform. Sci, 53, pp.203~236 (1991)
  6. N. Kuroki, "Fuzzy semiprime quasi-ideals in semigroups", Inform. Sci, 75, pp.201~211 (1993)
  7. W.J. Liu, "Fuzzy invariant subgroups and fuzzy ideals", Fuzzy Sets and Systems, 8, pp.133~139 (1982)
  8. Z. W. Mo, "Fuzzy ideals generated by fuzzy sets in semigroups", Inform. Sci, 86, pp.203~210 (1995)
  9. A. Rosenfeld, "Fuzzy Groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
  10. S. Sessa, "On fuzzy subgroups and fuzzy ideals under triangular norms", Fuzzy Sets and Systems, 13, pp.95~100 (1984)
  11. X. P.Wang, "Fuzzy regular subsemigroups in semigroups", Inform. Sci, 68, pp.225~231 (1993)
  12. X. Y. Xie, "Fuzzy ideals in semigroups", J. Fuzzy Math, 7, pp.357~365 (1999)
  13. L.A. Zadeh, "Fuzzy sets", Inform. and Control, 8, pp.338~353 (1965)

관련 논문AI추천

FUZZY IDEALS GENERATED BY FUZZY SUBSETS IN SEMIGROUPS전인흥대한수학회 · 대한수학회논문집2012 · 제27권 제3호Hesitant fuzzy bi-ideals in semigroups송석준, 이경자, 전영배대한수학회 · 대한수학회논문집2015 · 제30권 제3호Fuzzy subsemigroups and fuzzy ideals with operators in semigroupsHee Sik Kim, Kul Hur, Young Bae Jun기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2011 · 제1권 제1호A novel generalization of fuzzy subsemigroups전영배, G. Muhiuddin, Mehmet Ali Ozturk기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제14권 제4호A characterization of semigroups through their fuzzy generalized $m$-bi-idealsAsghar Ali, Mohammad Munir, Nasreen Kausar, Rashida Hussain, Rukhshanda Anjum강원경기수학회 · 한국수학논문집2020 · 제28권 제3호A GENERALIZATION OF FUZZY SUBSEMIGROUPS IN SEMIGROUPS강미광, 반희영, 윤상욱한국수학교육학회 · 이론수학과 교직수학2013 · 제20권 제2호

이 간행물의 다른 논문 (9건)

A Cooley-Tukey modified algorithm in fast Fourier transform김화준, Somchai Lekcharoenpp. 243-253Semigroup rings as H-domains장규환pp. 255-261Generating certain quintic irreducible polynomials over finite fields김기태, 안영우pp. 263-272A homomorphism of pointed minimal sets and Ellis groups송형수pp. 273-278Strong convergence of paths for nonexpansive semigroups in Banach spaces강신민, 조선영, 권영철pp. 279-289
원문 보기