Octahedron sets
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참고문헌
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초록
We define an octahedron set and introduce the notions of internal octahedron sets and external octahedron sets and study some related properties and give some examples. Also, we define Type $i$-order, Type $i$-intersection, Type $i$-union ($i=1,~2,~3,~4$) and study some of their properties. Moreover, we define an octahedron point and deal with the characterizations of Type $i$-union (Type $i$-intersection). Also, we introduce the level set of an octahedron set and obtain one property. Finally, we define the image and preimage of an octahedron set under a mapping and investigate some of their properties.
Abstract
We define an octahedron set and introduce the notions of internal octahedron sets and external octahedron sets and study some related properties and give some examples. Also, we define Type $i$-order, Type $i$-intersection, Type $i$-union ($i=1,~2,~3,~4$) and study some of their properties. Moreover, we define an octahedron point and deal with the characterizations of Type $i$-union (Type $i$-intersection). Also, we introduce the level set of an octahedron set and obtain one property. Finally, we define the image and preimage of an octahedron set under a mapping and investigate some of their properties.
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