Results 51 to 57 of about 90 (57)
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Applications of NeutroGeometry and AntiGeometry in Real World
International Journal of Neutrosophic Science, 2023NeutroGeometries are those geometric structures where at least one definition, axiom, property, theorem, among others, is only partially satisfied. In AntiGeometries at least one of these concepts is never satisfied. Smarandache Geometry is a geometric structure where at least one axiom or theorem behaves differently in the same space, either partially
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2023
Mixed projective-affine-hyperbolic (MPAH) planes belong to both the branches of NeutroGeometries and mixed or Smarandache geometries. This kind of plane is a geometric structure containing a finite number of points. Some lines of the MPAH satisfy the axioms of projective planes, other lines satisfy the axioms of affine planes, and others satisfy the ...
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Mixed projective-affine-hyperbolic (MPAH) planes belong to both the branches of NeutroGeometries and mixed or Smarandache geometries. This kind of plane is a geometric structure containing a finite number of points. Some lines of the MPAH satisfy the axioms of projective planes, other lines satisfy the axioms of affine planes, and others satisfy the ...
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Anti-Geometry and NeutroGeometry Characterization of Non-Euclidean Data
Journal of Neutrosophic and Fuzzy Systems, 2021Recently, a problem is addressed while dealing with fourth dimensional or non-Euclidean data sets. These are the data sets does not follow one of the postulates established by Euclid specially the parallel postulates. In this case, the precise representation of these data sets is major issues for knowledge processing tasks.
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Introduction to the Finite NeutroGeometries
2023NeutroGeometries generalize geometries in the same way that NeutroAlgebras generalize universal and partial algebras. NeutroGeometry is not one kind of classical geometry, but it can be a combination of some of them in the same space. For the first time, this chapter introduces notions of NeutroGeometry for finite geometries.
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A Review of AntiGeometry and NeutroGeometry and Their Application to Real Life
2023Non-Euclidean geometry is part of AntiGeometry, since it has an axiom that is 100% false. Dealing with the NeutroGeometry in true, false, and uncertain regions is of great interest for researchers. Not too many studies have been done on this topic.
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