THE MODEL OF ONE-DIMENSIONAL FUZZY PROJECTIVE SPACE

Markov B.G, Markov O.B, Voronov R.V

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The paper proposes a modification of projective geometry. A modification of the geometry allows for the presentation of information on the one hand as random variables, subordinates normal distribution of errors, on the other hand as fuzzy sets. Introduces the basic concepts. Describes a one-dimensional fuzzy projective geometry. The main object of a one-dimensional projective space is a fuzzy point, the basic attitude - an accessory. Projective line contains one improper fuzzy point. Formulated dimensional fuzzy definition of projective geometry. Examples are given. Formulated proposals on the theory of fuzzy projective geometry, give the opportunity to develop a number of algorithms for solving geometric modeling monuments lost their perspective images. Application of fuzzy projective geometry and statistical processing of the experimental results, taking into account unequal measurements can increase the accuracy of the recovery results.

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Марков Б.Г, Марков О.Б, Воронов Р.В МОДЕЛЬ ОДНОМЕРНОГО НЕЧЕТКОГО ПРОЕКТИВНОГО ПРОСТРАНСТВА // Научное обозрение. Физико-математические науки . 2020. № 1. С. 38-38;
URL: https://physics-mathematics.ru/en/article/view?id=46 (дата обращения: 24.06.2026).