POINT IN THE TWO-DIMENSIONAL FUZZY PROJECTIVE SPACE MODEL

Markov Boris Georgievich1, Markov Oleg Borisovich1
1Petrozavodsk state University, Institute of forestry, engineering and construction Sciences, Ph. D., associate Professor

Abstract
The paper proposes a modification of projective geometry. It is proposed to replace the common geometric elements and concepts on fuzzy probabilistic. Point in this case seems elliptical area, the center of which is its nominal position, and the border - given error described by a normal distribution. A modification of projective geometry allows for the provision of information on the one hand as random variables subject to the normal distribution of errors, on the other hand as fuzzy sets. The article defines some of the definitions of fuzzy two-dimensional projective geometry. Describes a two-dimensional fuzzy point are its parameters and the membership function. Application of fuzzy projective geometry and statistical processing of the experimental results, taking into account unequal measurements allowed to increase the accuracy of the recovery of architectural objects on the iconographic materials.

Keywords: fuzzy projective geometry, iconographic materials, metrization, unequal measure


Category: 01.00.00 Physics and mathematics

Article reference:
Point in the two-dimensional fuzzy projective space model // Modern scientific researches and innovations. 2015. № 6. P. 1 [Electronic journal]. URL: https://web.snauka.ru/en/issues/2015/06/56091

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