본문 바로가기
KERD
논문KCI 등재

On interval valued fuzzy quasi-ideals of semigroups

N. Thillaigovindan|V. Chinnadurai
영남수학회 (Youngnam Mathematical Society)|2009.12|East Asian Mathematical Journal|제25권 제4호|pp. 449-467

2

조회

0

다운로드

1

인용

0

참고문헌

키워드

regulari-v fuzzy subsemigroupi-v fuzzy ideali-v fuzzy interior ideali-v fuzzy fuzzy quasi-ideali-v fuzzy bi-ideal
주제분류수학

초록

In this paper we shall introduce the notion of an i-v fuzzy interior ideal, an i-v fuzzy quasi-ideal and an i-v fuzzy bi-ideal in a semigroup. We study some properties of i-v fuzzy subsets and using their properties we characterize regular semigroups.

Abstract

In this paper we shall introduce the notion of an i-v fuzzy interior ideal, an i-v fuzzy quasi-ideal and an i-v fuzzy bi-ideal in a semigroup. We study some properties of i-v fuzzy subsets and using their properties we characterize regular semigroups.

참고문헌 (11)

  1. J. Ahsan, "Semigroups characterized by their fuzzy bi-ideals", The Journal of Fuzzy Mathematics, 10(2), pp.441~449 (2002)
  2. J. Ahsan, "Fuzzy quasi-ideals in semigroups", The Journal of Fuzzy Mathematics, 9(2), pp.259~270 (2001)
  3. R. Biswas, "Rosenfeld's fuzzy subgroups with interval valued membership functions", Fuzzy Sets and Systems, 63(1), pp.87~90 (1994)
  4. B. Davvaz, "Fuzzy ideals of near-rings with interval valued membership functions", Journal of Sciences, Islamic Republic of Iran, 12(2), pp.171~175 (2001)
  5. P. Dheena, "Characterization of regular Γ-semigroups through fuzzy Ideals", Iranian Journal of Fuzzy Systems, 4(2), pp.57~68 (2007)
  6. K. Iseki, "A characterization of regular semgroups", Proceedings of the Japan Academy ser. A, 32(9), pp.676~677 (1956)
  7. Y. B. Jun, "Interval valued fuzzy R-subgroups of Near-rings", Indian Journal of Pure and Applied Mathematics, 33(1), pp.71~80 (2002)
  8. N. Kuroki, "On fuzzy ideals and fuzzy bi-ideals in semigroups", Fuzzy Sets and Systems, 5(2), pp.203~215 (1981)
  9. N. Kuroki, "On fuzzy semigroups", Information Sciences, 53(3), pp.203~236 (1991)
  10. O. Steinfeld, "Quasi-ideals in rings and semigroups" (1978), Akad. Kiado
  11. L. A. Zadeh, "The concept of a linguistic variable and its application to approximate reasoning-I", Information Sciences, 8(3), pp.199~249 (1975)

관련 논문AI추천

Quasi-interior ideals and fuzzy quasi-interior ideals of semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2020 · 제19권 제2호Characterization of regular semigroup by (∈, ∈∨(k*, q_k))-fuzzy idealsKhaista Rahman, Muhammad Sajjad Ali Khan, Saleem Abdullah, Syed Zaheer Abbas기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제3호Bi-interior ideals and Fuzzy bi-interior ideals of Γ-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2022 · 제24권 제1호Quasi-interior ideals and fuzzy quasi-interior ideals of $\Gamma$-semigroupsMarapureddy Murali Krishna Rao기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2024 · 제28권 제2호Intra-regular and weakly regular ordered ternary semigroupsShahida Bashir, Xiankun Du기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2017 · 제13권 제4호On interval valued intuitionistic fuzzy hyperideals of ordered semihypergroupsNareupanat Lekkoksung, Somsak Lekkoksung강원경기수학회 · 한국수학논문집2020 · 제28권 제4호

이 간행물의 다른 논문 (12건)

Hybrid monotone projection algorithms for asymptotically quasi-pseudocontractive mappings조선영, Changqun Wupp. 415-423Local convergence of Newton-like methods for generalized equationsIoannis K. Argyrospp. 425-431Group actions in a unit-regular ring with commuting idempotents한준철pp. 433-440On regular near-rings with (m,n)-potent conditions조용욱pp. 441-447Combinatorial webs of quantum Lie superalgebra sl(1|1)김동석pp. 469-479
원문 보기