Computing with words and life data

Przemysław Grzegorzewski; Olgierd Hryniewicz

International Journal of Applied Mathematics and Computer Science (2002)

  • Volume: 12, Issue: 3, page 337-345
  • ISSN: 1641-876X

Abstract

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The problem of statistical inference on the mean lifetime in the presence of vague data is considered. Situations with fuzzy lifetimes and an imprecise number of failures are discussed.

How to cite

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Grzegorzewski, Przemysław, and Hryniewicz, Olgierd. "Computing with words and life data." International Journal of Applied Mathematics and Computer Science 12.3 (2002): 337-345. <http://eudml.org/doc/207591>.

@article{Grzegorzewski2002,
abstract = {The problem of statistical inference on the mean lifetime in the presence of vague data is considered. Situations with fuzzy lifetimes and an imprecise number of failures are discussed.},
author = {Grzegorzewski, Przemysław, Hryniewicz, Olgierd},
journal = {International Journal of Applied Mathematics and Computer Science},
keywords = {computing with words; estimation; hypotheses testing; life data; vague data},
language = {eng},
number = {3},
pages = {337-345},
title = {Computing with words and life data},
url = {http://eudml.org/doc/207591},
volume = {12},
year = {2002},
}

TY - JOUR
AU - Grzegorzewski, Przemysław
AU - Hryniewicz, Olgierd
TI - Computing with words and life data
JO - International Journal of Applied Mathematics and Computer Science
PY - 2002
VL - 12
IS - 3
SP - 337
EP - 345
AB - The problem of statistical inference on the mean lifetime in the presence of vague data is considered. Situations with fuzzy lifetimes and an imprecise number of failures are discussed.
LA - eng
KW - computing with words; estimation; hypotheses testing; life data; vague data
UR - http://eudml.org/doc/207591
ER -

References

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  1. Chanas S. (2001): On the interval approximation of a fuzzy number. - Fuzzy Sets Syst., Vol. 122, pp. 353-356. Zbl1010.03523
  2. Cox D.R. (1953): Some simple approximate tests for Poisson variates. - Biometrika, Vol. 40, pp. 354-360. Zbl0051.10808
  3. Dubois D. and Prade H. (1978): Operations on fuzzy numbers. - Int. J. Syst. Sci., Vol. 9, pp. 613-626. Zbl0383.94045
  4. Grzegorzewski P. (2000): Testing statistical hypotheses with vague data. - Fuzzy Sets Syst., Vol. 112, pp. 501-510. Zbl0948.62010
  5. Grzegorzewski P. (2001): Estimation of the mean lifetime from vague data. - Proc. Int. Conf. Fuzzy Logic and Technology, Eusflat 2001, Leicester, pp. 348-351. 
  6. Grzegorzewski P. and Hryniewicz O. (1999): Lifetime tests for vague data, In: Computing with Words in Information Intelligent Systems, Part 2 (Zadeh L.A., Kacprzyk J., Eds.). - Heidelberg: Physica-Verlag, pp. 176-193. Zbl0949.68163
  7. Kruse R. (1982): The strong law of large numbers for fuzzy random variables. - Inform. Sci., Vol. 28, pp. 233-241. Zbl0571.60039
  8. Kruse R. and Meyer K.D. (1987): Statistics with Vague Data. - D. Riedel Publishing Company. Zbl0663.62010
  9. Kruse R. and Meyer K.D. (1988): Confidence intervals for the parameters of a linguistic random variable, In: Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making (Kacprzyk J., Fedrizzi M., Eds.). - Springer-Verlag, pp. 113-123. 
  10. Kwakernaak H. (1978): Fuzzy random variables, Part I: Definitions and theorems. - Inform. Sci., Vol. 15, pp. 1-15. Zbl0438.60004
  11. Kwakernaak H. (1979): Fuzzy random variables, Part 2: Algorithms and examples for the discrete case. - Inform. Sci., Vol. 17, pp. 253-278. Zbl0438.60005
  12. Lawless J.F. (1982): Statistical Models and Methods for Lifetime Data. - New York: Wiley. Zbl0541.62081
  13. Puri M.L. and Ralescu D.A. (1986): Fuzzy random variables. - J. Math. Anal. Appl., Vol. 114, pp. 409-422. Zbl0592.60004

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