Length Neutrosophic Subalgebras of BCK=BCI-Algebras

Jun, Young Bae; Khan, Madad; Smarandache, Florentin; Song, Seok-Zun

dc.contributor.author	Jun, Young Bae
dc.contributor.author	Khan, Madad
dc.contributor.author	Smarandache, Florentin
dc.contributor.author	Song, Seok-Zun
dc.date.accessioned	2021-05-11T06:22:49Z
dc.date.available	2021-05-11T06:22:49Z
dc.date.issued	2020-12-30
dc.identifier.issn	0138-0680
dc.identifier.uri	http://hdl.handle.net/11089/35464
dc.description.abstract	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.	en
dc.language.iso	en
dc.publisher	Wydawnictwo Uniwersytetu Łódzkiego	pl
dc.relation.ispartofseries	Bulletin of the Section of Logic;4	en
dc.rights.uri	https://creativecommons.org/licenses/by-nc-nd/4.0
dc.subject	interval neutrosophic set	en
dc.subject	interval neutrosophic length	en
dc.subject	length neutrosophic subalgebra	en
dc.title	Length Neutrosophic Subalgebras of BCK=BCI-Algebras	en
dc.type	Other
dc.page.number	377-400
dc.contributor.authorAffiliation	Jun, Young Bae - Gyeongsang National University Department of Mathematics Education Jinju 52828, Korea	en
dc.contributor.authorAffiliation	Khan, Madad - COMSATS Institute of Information Technology Department of Mathematics Abbottabad, Pakistan	en
dc.contributor.authorAffiliation	Smarandache, Florentin - University of New Mexico Department of Mathematics New Mexico 87301, USA	en
dc.contributor.authorAffiliation	Song, Seok-Zun - Jeju National University Department of Mathematics Jeju 63243, Korea	en
dc.identifier.eissn	2449-836X
dc.references	[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	en
dc.references	[2] Y. Huang, BCI-algebra, Science Press, Beijing (2006).	en
dc.references	[3] Y. Jun, K. Hur, K. Lee, Hyperfuzzy subalgebras of BCK=BCI-algebras, Annals of Fuzzy Mathematics and Informatics (in press).	en
dc.references	[4] Y. Jun, S. Kim, F. Smarandache, Interval neutrosophic sets with applications in BCK=BCI-algebras, submitted to New Mathematics and Natural Computation.	en
dc.references	[5] J. Meng, Y. Jun, BCI-algebras, Kyungmoon Sa Co., Seoul (1994).	en
dc.references	[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.	en
dc.references	[7] F. Smarandache, A Unifying Field in Logics: Neutrosophic Logic. Neutrosophy, Neutrosophic Set, Neutrosophic Probability, American Reserch Press, Rehoboth, NM (1999).	en
dc.references	[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.	en
dc.references	[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).	en
dc.references	[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	en
dc.references	[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	en
dc.contributor.authorEmail	Jun, Young Bae - skywine@gmail.com
dc.contributor.authorEmail	Khan, Madad - madadmath@yahoo.com
dc.contributor.authorEmail	Smarandache, Florentin - fsmarandache@gmail.com
dc.contributor.authorEmail	Song, Seok-Zun - szsong@jejunu.ac.kr
dc.identifier.doi	10.18778/0138-0680.2020.21
dc.relation.volume	49

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