본문 바로가기
KERD
논문KCI 등재

Tripolar fuzzy interior ideals and tripolar fuzzy soft interior ideals over semigroups

0

조회

0

다운로드

1

인용

0

참고문헌

키워드

초록

M.Murali Krishna Rao [14] introduced the notion of tripolar fuzzy set as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set.The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevent elements and contrary elements. In this paper,we introduce the notion of tripolar fuzzy interior ideal,tripolar fuzzy soft ideal, tripolar fuzzy soft interior ideal over semigroup and study some of their algebraic properties.

Abstract

M.Murali Krishna Rao [14] introduced the notion of tripolar fuzzy set as a generalization of fuzzy set, bipolar fuzzy set and intuitionistic fuzzy set.The tripolar fuzzy set representation is very useful in discriminating relevant elements, irrelevent elements and contrary elements. In this paper,we introduce the notion of tripolar fuzzy interior ideal,tripolar fuzzy soft ideal, tripolar fuzzy soft interior ideal over semigroup and study some of their algebraic properties.

참고문헌 (19)

  1. U. Acar, "Soft sets and Soft rings", Comput. Math. Appli, 59, pp.3458~3463 (2010)
  2. H. Aktas, "Soft sets and soft groups", Inform. Sci, 177, pp.2726~2735 (2007)
  3. K. T. Atanassov, "Intuitionistic fuzzy sets", Fuzzy sets and systems, 20, pp.87~96 (1986)
  4. A. Aygunoglu, "Introduction to fuzzy soft group", Comput. Math. Appli, 58, pp.1279~1286 (2009)
  5. J. Ghosh, "Fuzzy soft rings and Fuzzy soft ideals", Int. J. P. App. Sc. Tech, 2(2), pp.66~74 (2011)
  6. 전영배, "BIPOLAR FUZZY TRANSLATIONS IN BCK", BCI-ALGEBRAS, 2009, pp.22(3), 399~408[DOI]
  7. K. H. Kim, "Intuitionistic fuzzy interior ideals of semigroups", Int. J. of Math. and Math. Sci, 27(5), pp.261~267 (2001)
  8. K. J. Lee, "Bipolar fuzzy subalgebras and bipolar fuzzy ideals of BCK", BCI algebras, 2009, pp.(32), 361~373
  9. K. M. Lee, "Bipolar valued fuzzy sets and their applications", Proc. Int. Conf. on Intelligent Technologies, pp.307~312 (2000)
  10. 이건명, "구간값 퍼지집합, Intuitionistic 퍼지집합, Bipolar-valued 퍼지집합의 비교", 한국지능시스템학회 논문지, 14(2), pp.125~129 (2004), 한국지능시스템학회
  11. P. K. Maji, "Fuzzy soft sets", The J. of Fuzzy Math, 9(3), pp.589~602 (2001)
  12. D. A. Molodtsov, "Soft set theory first results", Computers and math. with appli, 37, pp.19~31 (1999)
  13. Muhammad Irfan Ali, "On Soft Ideals over Semigroups", Southeast Asian Bulletin of Mathematics, 34, pp.595~610 (2010)
  14. M. Murali Krishna Rao, "Tripolar fuzzy interior ideals of Γ-semigroup", ANNALS OF FUZZY MATHEMATICS AND INFORMATICS, 15(2), pp.199~206 (2018), 기초자연과학연구소[DOI]
  15. M. Murali Krishna Rao, "Tripolar fuzzy ideals of Γ-semiring", Asia Pacific J. of Math, 5(2), pp.192~207 (2018)
  16. M. Murali Krishna Rao, "Tripolar fuzzy soft interior ideals and tripolar fuzzy soft interior ideals over Γ-semiring", FACTA UNIVERSITATIS(NI S)Ser. Math. Inform, 35(1), pp.29~42 (2020)
  17. A. Rosenfeld, "Fuzzy groups", J. Math. Anal. Appl, 35, pp.512~517 (1971)
  18. L. A. Zadeh, "Fuzzy sets", Information and control, 8, pp.338~353 (1965)
  19. W. R. Zhang, "Bipolar fuzzy sets", Proc. of FUZZ-IEEE, pp.835~840 (1998)

관련 논문AI추천

이 간행물의 다른 논문 (6건)