Bayesian testing of fuzzy parametric hypotheses from fuzzy information

M. R. Casals

RAIRO - Operations Research - Recherche Opérationnelle (1993)

  • Volume: 27, Issue: 2, page 189-199
  • ISSN: 0399-0559

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Casals, M. R.. "Bayesian testing of fuzzy parametric hypotheses from fuzzy information." RAIRO - Operations Research - Recherche Opérationnelle 27.2 (1993): 189-199. <http://eudml.org/doc/105056>.

@article{Casals1993,
author = {Casals, M. R.},
journal = {RAIRO - Operations Research - Recherche Opérationnelle},
keywords = {Bayes test; fuzzy information system; fuzzy decision problem; simple fuzzy hypothesis; Zadeh's probabilistic definition},
language = {eng},
number = {2},
pages = {189-199},
publisher = {EDP-Sciences},
title = {Bayesian testing of fuzzy parametric hypotheses from fuzzy information},
url = {http://eudml.org/doc/105056},
volume = {27},
year = {1993},
}

TY - JOUR
AU - Casals, M. R.
TI - Bayesian testing of fuzzy parametric hypotheses from fuzzy information
JO - RAIRO - Operations Research - Recherche Opérationnelle
PY - 1993
PB - EDP-Sciences
VL - 27
IS - 2
SP - 189
EP - 199
LA - eng
KW - Bayes test; fuzzy information system; fuzzy decision problem; simple fuzzy hypothesis; Zadeh's probabilistic definition
UR - http://eudml.org/doc/105056
ER -

References

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  1. 1. M. R. CASALS, M. A. GIL and P. GIL, On the use of Zadeh's probabilistic definition for testing statistical hypotheses from fuzzy information. Fuzzy Sets and Systems, 1986, 20, (2), pp. 175-190. Zbl0611.62018MR858440
  2. 2. M. R. CASALS, M. A. GIL and P. GIL, The fuzzy decision problem: An approach to the problem of testing statistical hypotheses with fuzzy information, European Journal of Operational Research, 1986, 27, pp. 371-382. Zbl0605.62018MR864907
  3. 3. M. R. CASALS, M. A. GIL and P. GIL, El problema de decisión difuso y el contraste de hipótesis paramétricas difusas, Actas XV Reunion Nacional de Estadistica e Investigacion Operativa Asturias, 1985, Tomo I, pp. 86-93. 
  4. 4. M. DELGADO, J. L. VERDEGAY and M. A. VILA, Testing fuzzy-Hypotheses. A Bayesian Approach. In: M. M. Gupta, A. Kandel, W. Bandier and J. B. Kriszka, Eds., Aproximate Reasoning in Expert Systems. North-Holland Publishing Co., 1985, pp. 307-316. MR845354
  5. 5. T. S. FERGUSON, Mathematical Statistics. A Decision Theoretic Approach, Academic Press, 1967. Zbl0153.47602MR215390
  6. 6. M. A. GIL, N. CORRAL and P. GIL, The fuzzy decision problem: An approach to the point estimation problem with fuzzy information, European Journal of Operational Research, 1985, 22, (1), pp. 26-34. Zbl0576.90003MR806460
  7. 7. R KRUSE and K. D. MEYER, Statistics with vague data, D. Reidel Publishing Co., 1987. Zbl0663.62010MR913303
  8. 8. E. L. LEHMANN, Testing Statistical Hypotheses, Wiley, 1959. Zbl0608.62020MR107933
  9. 9. C. V. NEGOITA and D. A. RALESCU, Applications of Fuzzy Sets to Systems Analysis, Birkhauser, Basel, 1975. Zbl0326.94002MR490083
  10. 10. T. OKUDA, H. TANAKA and K. ASAI, A formulation of fuzzy decision problems with fuzzy information using probability measures of fuzzy events, Information and Control, 1978, 38, pp. 135-147. Zbl0401.94050MR490454
  11. 11. V. K. ROHAGTI, An Introduction to Probability Theory and Mathematical Statistics, Wiley, 1976. Zbl0354.62001
  12. 12. H. TANAKA, T. OKUDA and K. ASAI, Fuzzy information and decision in statistical model, In: M. M. Gupta, R. K. Ragade, and R. R. Yager, Eds.,Advances in Fuzzy Sets Theory and Applications, North-Holland Publishing Co, 1979, pp. 303-320. MR558730
  13. 13. H. TANAKA and G. SOMMER. On posterior probabilities concerning a fuzzy information, Die Betriebswirtschaft, Stuttgart, 1977, 1, p. 166. 
  14. 14. A. WALD, Statistical Decision Functions, Wiley, 1950. Zbl0040.36402MR36976
  15. 15. L. A. ZADEH, Fuzzy sets, Information and Control, 1965, 8, pp. 338-353. Zbl0139.24606MR219427
  16. 16. L. A. ZADEH, Probability measures of fuzzy events, Journal of Mathematical Analysis and Applications, 1968, 23, pp. 421-427. Zbl0174.49002MR230569
  17. 17. L. A. ZADEH, Fuzzy Sets as a basis for a theory of possibility, Fuzzy Sets and Systems, 1978, 1, (1), pp. 3-28. Zbl0377.04002MR480045

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