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2020 | 49 | 4 | 377-400
Tytuł artykułu

Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Treść / Zawartość
Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
Given i, j, k ∈ {1,2,3,4}, the notion of (i, j, k)-length neutrosophic subalgebras in BCK=BCI-algebras is introduced, and their properties are investigated. Characterizations of length neutrosophic subalgebras are discussed by using level sets of interval neutrosophic sets. Conditions for level sets of interval neutrosophic sets to be subalgebras are provided.
Rocznik
Tom
49
Numer
4
Strony
377-400
Opis fizyczny
Daty
wydano
2020-12-30
Twórcy
  • Gyeongsang National University Department of Mathematics Education Jinju 52828, Korea
autor
  • COMSATS Institute of Information Technology Department of Mathematics Abbottabad, Pakistan
  • University of New Mexico Department of Mathematics New Mexico 87301, USA
  • Jeju National University Department of Mathematics Jeju 63243, Korea
Bibliografia
  • [1] K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, vol. 20(1) (1986), pp. 87–96, DOI: http://dx.doi.org/10.1016/S0165-0114(86)80034-3
  • [2] Y. Huang, BCI-algebra, Science Press, Beijing (2006).
  • [3] Y. Jun, K. Hur, K. Lee, Hyperfuzzy subalgebras of BCK=BCI-algebras, Annals of Fuzzy Mathematics and Informatics (in press).
  • [4] Y. Jun, S. Kim, F. Smarandache, Interval neutrosophic sets with applications in BCK=BCI-algebras, submitted to New Mathematics and Natural Computation.
  • [5] J. Meng, Y. Jun, BCI-algebras, Kyungmoon Sa Co., Seoul (1994).
  • [6] F. Smarandache, Neutrosophy, Neutrosophic Probability, Set, and Logic, ProQuest Information & Learning, Ann Arbor, Michigan, USA (1998), URL: http://fs.gallup.unm.edu/eBook-neutrosophics6.pdf last edition online.
  • [7] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Reserch Press, Rehoboth, NM (1999).
  • [8] F. Smarandache, Neutrosophic set – a generalization of the intuitionistic fuzzy set, International Journal of Pure and Applied Mathematics, vol. 24(3) (2005), pp. 287–297.
  • [9] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, no. 5 in Neutrosophic Book Series, Hexis (2005).
  • [10] H. Wang, F. Smarandache, Y. Zhang, R. Sunderraman, Interval Neutrosophic Sets and Logic: Theory and Applications in Computing, no. 5 in Neutrosophic Book Series, Hexis, Phoenix, Ariz, USA (2005), DOI: http://dx.doi.org/10.6084/m9.figshare.6199013.v1
  • [11] H. Wang, Y. Zhang, R. Sunderraman, Truth-value based interval neutrosophic sets, [in:] 2005 IEEE International on Conference Granular Computing, vol. 1 (2005), pp. 274–277, DOI: http://dx.doi.org/10.1109/GRC.2005.1547284
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ojs-doi-10_18778_0138-0680_2020_21
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