Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

On the packing density of a fuzzy set

  • 13 Accesses

This is a preview of subscription content, log in to check access.


  1. 1.

    K. Rodgers, Packings and Coverings [Russian translation], Mir, Moscow (1968).

  2. 2.

    V. I. Levenshtein, “Packing limits for metric spaces and some of their applications,” Probl. Kibern., No. 40, 43–110 (1983).

  3. 3.

    B. D. Kotlyar, “On packings of parallelotopes and some other sets,” Sib. Mat. Zh.,25, No. 2, 222–225 (1984).

  4. 4.

    B. D. Kotlyar, “Packing densities of bounded sets,” Soobshch. Akad. Nauk Gruz. SSR,126, No. 3, 469–472 (1987).

  5. 5.

    L. Zadeh, The Concept of the Linguistic Variable and Its Use in the Understanding of Approximate Solutions [Russian translation], Mir, Moscow (1976).

  6. 6.

    J. Goguen, “L-fuzzy sets,” J. Math. Anal. Appl.,18, 145–174 (1967).

  7. 7.

    S. Bachner, Lectures on Fourier Integrals [Russian translation], Fizmatgiz, Moscow (1962).

  8. 8.

    Yu. G. Stoyan, Combinations of Geometric Objects [in Russian], Naukova Dumka, Kiev (1975).

  9. 9.

    Yu. K. Svirizhev and D. O. Logofet, Stability of Biological Communities [in Russian], Nauka, Moscow (1978).

  10. 10.

    L. A. Petrosyan and V. V. Zakharov, Introduction to Mathematical Ecology [in Russian], Leningrad Univ. (1986).

  11. 11.

    A. G. Postnikov, Introduction to the Analytic theory of Numbers [in Russian], Nauka, Moscow (1971).

  12. 12.

    B. D. Kotlyar, “Fourier coefficients and densities of sets of natural numbers,” in: Function Theory, Functional Analysis, and Their Applications [in Russian], Issue 35 (1981), pp. 54–61.

  13. 13.

    B. D. Kotlyar, “On the Fourier coefficients of smooth functions of many variables,” in: Studies on the Theory of Functions of Many Real Variables [in Russian], Yaroslavl' Univ. (1980), pp. 118–122.

Download references

Additional information

Translated from Kibernetika i Sistemnyi Analiz, No. 5, pp. 25–33, September–October, 1993.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Kotlyar, B.D. On the packing density of a fuzzy set. Cybern Syst Anal 29, 648–655 (1993).

Download citation


  • Operating System
  • Artificial Intelligence
  • System Theory
  • Packing Density