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Open AccessArticle

N-Hyper Sets

1
Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
2
Department of Mathematics, Jeju National University, Jeju 63243, Korea
3
Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea
*
Author to whom correspondence should be addressed.
Mathematics 2018, 6(6), 87; https://doi.org/10.3390/math6060087
Received: 21 April 2018 / Revised: 16 May 2018 / Accepted: 21 May 2018 / Published: 23 May 2018
(This article belongs to the Special Issue Fuzzy Mathematics)
To deal with the uncertainties, fuzzy set theory can be considered as one of the mathematical tools by Zadeh. As a mathematical tool to deal with negative information, Jun et al. introduced a new function, which is called a negative-valued function, and constructed N -structures in 2009. Since then, N -structures are applied to algebraic structures and soft sets, etc. Using the N -structures, the notions of (extended) N -hyper sets, N -substructures of type 1, 2, 3 and 4 are introduced, and several related properties are investigated in this research paper. View Full-Text
Keywords: N-structure; (extended) N-hyper set; N-substructure of types 1, 2, 3, 4 N-structure; (extended) N-hyper set; N-substructure of types 1, 2, 3, 4
MDPI and ACS Style

Jun, Y.B.; Song, S.-Z.; Kim, S.J. N-Hyper Sets. Mathematics 2018, 6, 87.

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