본문 바로가기
KERD
논문KCI 등재

BL-Algebras Based on Soft Set Theory

전영배|Jianming Zhan
경북대학교 자연과학대학 수학과|2010.03|Kyungpook Mathematical Journal|제50권 제1호|pp. 123-129

1

조회

0

다운로드

0

인용

0

참고문헌

키워드

filterSoft setfilteristic soft BL-algebra
주제분류수학

초록

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft BL-algebras by using the soft set theory. The notion of lteristic soft BL-algebras is introduced and some related properties are investigated.

Abstract

Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft BL-algebras by using the soft set theory. The notion of lteristic soft BL-algebras is introduced and some related properties are investigated.

참고문헌 (19)

  1. H. Aktaş, "Soft sets and soft groups", Inform. Sci., 177, pp.2726~2735 (2007)
  2. C.C. Chang, "Algebraic analysis of many valued logic", Tran. Am. Math. Soc., 88, pp.467~490 (1958)
  3. P. Hájek, "Metamathematics of Fuzzy Logic" (1998), Kluwer Academic Press
  4. Y. B. Jun, "Soft BCK", BCI-algebras, 2008, pp.56, 1408~1413
  5. Y.B. Jun, "Applications of soft sets in ideal theory of BCK", BCI-algebras, 2008, pp.178, 2466~2475
  6. L. Liu, "Fuzzy lters of BL-algebras", Inform. Sci., 173, pp.141~154 (2005)
  7. X. Ma, "On (∈, ∈ ∨q)-fuzzy lters of BL-algebras", J. Syst. Sci. Complexity, 21, pp.144~158 (2008)
  8. X. Ma, "Some kinds of (-∈, -∈∨-q)-fuzzy lters of BL-algebras", Comput. Math. Appl., 58, pp.248~256 (2009)
  9. X. Ma, "Generalized fuzzy lters of BL-algebras", Appl. Math. J. Chinese Univ., Ser. B, 22, pp.490~496 (2007)
  10. P. K. Maji, "Soft set theory", Comput. Math. Appl., 45, pp.555~562 (2006)
  11. P. K. Maji, "An application of soft sets in a decision making problem", Comput. Math. Appl., 44, pp.1077~1083 (2002)
  12. D. Molodtsov, "Soft set theory - First results", Comput. Math. Appl., 37, pp.19~31 (1999)
  13. Y. Xu, "Lattice implication algebras", J. Southeast Jiaotong Univ., 1, pp.20~27 (1993)
  14. Y. Xu, "On fuzzy lters of lattice implication algebras", J. Fuzzy Math., 1, pp.251~260 (1993)
  15. L. A. Zadeh, "Fuzzy sets", Inform. Control, 8, pp.338~353 (1965)
  16. J. Zhan, "Interval valued (∈, ∈ ∨q)-fuzzy lters of pseudo BL-algebras", Soft Computing, 13, pp.13~21 (2009)
  17. J. Zhan, "Some types of generalized fuzzy lters of BL-algebras", Comput. Math. Appl., 56, pp.1604~1616 (2008)
  18. X.H. Zhang, "On fuzzy lters and fuzzy ideals of BL-algebras", Fuzzy Systems Math., 3, pp.8~20 (2006)
  19. X.H. Zhang, "Ultra LI-ideals in lattice implication algebras and MTL-algebras", Czechoslovak Math. J., 57(132), pp.591~605 (2007)

관련 논문AI추천

Soft set theory applied to residuated multilatticesKoguep Njionou Blaise Bleriot, Kouankam Djouohou Lea Aubin, Lele Celestin기초자연과학연구소 · ANNALS OF FUZZY MATHEMATICS AND INFORMATICS2025 · 제29권 제1호Soft WS-algebras박철환, 전영배, Mehmet Ali Ozturk대한수학회 · 대한수학회논문집2008 · 제23권 제3호Implicative soft ideals and implicative idealistic soft BCK-algebras박철환, 이경자, 전영배대한수학회 · 대한수학회논문집2011 · 제26권 제2호Union-soft sets with applications in BCK/BCI-algebras전영배대한수학회 · 대한수학회보2013 · 제50권 제6호Filters of residuated lattices based on soft set theory노은환, 박철환, 이경자, 전영배대한수학회 · 대한수학회논문집2015 · 제30권 제3호Int-soft Ideals of Pseudo MV-algebras Generated by a Soft Set김희식, 송석준, 전영배경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2017 · 제57권 제3호

이 간행물의 다른 논문 (15건)

The Factor Domains that Result from Uppers to Prime Ideals in Polynomial RingsDavid Earl Dobbspp. 1-5New Sixth-Order Improvements of the Jarratt Method김용일pp. 7-14Spectral Analysis of Four Term Differential OperatorNyamwala Fredrick Oluochpp. 15-35The Fekete-Szeg"o Problem for A Generalized Subclass of An-alytic FunctionsHalit Orhan, Erhan Denizpp. 37-47The Leading Finite Type Coefficients of the Links–Gould Polynomial of a LinkAtsushi Ishiipp. 49-58
원문 보기