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Distribution of Length of Random Segment and Covariogram for Fuzzy Convex Bodies

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Abstract

For most of the cases of bounded measurement errors fuzzification of calculations can be used. In the case of reconstructing convex body by random line segments we introduce a fuzzy convex body concept and define orientation dependent distribution of the length of line segment. We consider several properties of the latter.

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Funding

The present research was supported by the State Science Committee of the Ministry for Higher Education and Science and the Russian Foundation for Basic Research (Grant no. 18RF-019). The research of the first author was also supported by RA MES State committee of Science, Grant no. 18T-1A252 and by the Mathematical Studies Center at Yerevan State University.

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Authors and Affiliations

  1. Yerevan State University, Yerevan, Armenia

    V. K. Ohanyan & V. G. Bardakhchyan

  2. Sochi State University, Sochi, Russia

    E. I. Ulitina

Authors
  1. V. K. Ohanyan
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  2. V. G. Bardakhchyan
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  3. E. I. Ulitina
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Corresponding authors

Correspondence to V. K. Ohanyan, V. G. Bardakhchyan or E. I. Ulitina.

Additional information

MSC2010 numbers: 60D05; 60A86; 53C65

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Ohanyan, V.K., Bardakhchyan, V.G. & Ulitina, E.I. Distribution of Length of Random Segment and Covariogram for Fuzzy Convex Bodies. J. Contemp. Mathemat. Anal. 55, 32–41 (2020). https://doi.org/10.3103/S1068362320010070

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  • DOI: https://doi.org/10.3103/S1068362320010070

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