Geodesic
$\mathcal N$-Cubic Sets Applied to Linear Spaces
Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 575 Cet article a éte moissonné depuis la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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The concept of $\mathcal{N}$-fuzzy sets is a good mathematical tool to deal with uncertainties that use the co-domain $[-1,0]$ for the membership function. The notion of $\mathcal{N}$-cubic sets is defined by combining interval-valued $\mathcal{N}$-fuzzy sets and $\mathcal{N}$-fuzzy sets. Using this $\mathcal{N}$-cubic sets, we initiate a new theory called $\mathcal{N}$-cubic linear spaces. Motivated by the notion of cubic linear spaces we define $P$-union (resp. $R$-union), $P$-intersection (resp. $R$-intersection) of $\mathcal{N}$-cubic linear spaces. The notion of internal and external $\mathcal{N}$-cubic linear spaces and their properties are investigated.
Classification : 08A72 03E72
Keywords: $\mathcal N$-Interval number, interval-valued $\mathcalN$-fuzzy linear space, $\mathcal N$-cubic linear space, internal and external $\mathcal N$-cubic linear spaces, $P$-intersection and $P$-union, $R$-intersection and $R$-union 
@article{KJM_2022_46_4_a4,
     author = {P. R. Kavyasree and B. Surender Reddy},
     title = {$\mathcal N${-Cubic} {Sets} {Applied} to {Linear} {Spaces}},
     journal = {Kragujevac Journal of Mathematics},
     pages = {575 },
     year = {2022},
     volume = {46},
     number = {4},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a4/}
}
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P. R. Kavyasree; B. Surender Reddy. $\mathcal N$-Cubic Sets Applied to Linear Spaces. Kragujevac Journal of Mathematics, Tome 46 (2022) no. 4, p. 575 . http://geodesic.mathdoc.fr/item/KJM_2022_46_4_a4/