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N -Hyper Sets

Young Bae Jun, Seok-Zun Song and Seon Jeong Kim
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Young Bae Jun: Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea
Seok-Zun Song: Department of Mathematics, Jeju National University, Jeju 63243, Korea
Seon Jeong Kim: Department of Mathematics, Natural Science of College, Gyeongsang National University, Jinju 52828, Korea

Mathematics, 2018, vol. 6, issue 6, 1-12

Abstract: 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.

Keywords: N -structure; (extended) N -hyper set; N -substructure of types 1, 2, 3, 4 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2018
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