74
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

A GENERALIZATION OF ENTROPY USING DEMPSTER-SHAFER THEORY

&
Pages 719-735 | Received 18 Oct 1998, Accepted 15 Jul 1999, Published online: 31 May 2007

References

  • Dempster , A.P. ( 1967 ), “ Upper and lower probabilities induced by a multivalued mapping ,” Annals of Mathematical Statistics , 325 – 339 .
  • Dubois , D. and Prade , H. ( 1980 ), Fuzzy Sett end Systems, Theory and Applications , Academic Press , New York .
  • Dubois , D. and Prade , H. ( 1982 ),“ On several representations of an uncertain body of evidence .” In Fuzzy Information and Decision Processes, edited by M.M. Gupta and E. Sanchez , North-Holland , Amsterdam , pp. 167 – 181 .
  • Dubois , D. and Prade , H. ( 1984 ), “ A note on measures of specificity for fuzzy sets ,” BUSEFAL , 19 . 83 – 89 .
  • Dubois , D. and Prade , M. ( 1985 ),“ Evidence measures based on fuzzy information ,” Automaika , 21 , 547 – 562 ,
  • Dubois , D. and Prade , H. ( 1987 ),“ Properties of measures of information is evidence and possibility theories ,” Fuzzy Sets and Systems , 24 , 161 – 182
  • Harmanec , D. and Klir , GJ. ( 1994 ),“ Measuring total uncertainty in DempStcT-Shaffer theory A novel approach ,” International Journal of General Systems , 22 , 405 – 419 .
  • Hartley , R.V.L. ( 1928 ),“ Transmission of information ,” Bell System Tteh. J. , 7 , 535 – 563 ,
  • Hercncia , J.A. and Lamata , M.T. ( 1995 ),“ Asignadon Bisica de Probabilidad Difusa ,” Proc. V Congreso Espanal sobre Tecnologuts y Logica Fuzzy, Univ. de Murda , Spain , pp. 299 – 301 .
  • Hcrencia , J.A. and Lamata , M.T. ( 1997 ), “ Entropy measures associated with a fuzzy banc probability assignment ,” Proc. FUZZ-IEEE'95, I.I.I.A., Barcelona , Spain , pp. 863 – 868 .
  • Higaihi , M. and Kiir , G J. ( 1983 ),“ Measure of uncertainty and information baaed on potaibility distribution ,” International Journal of General Systems, 9 , 43 – 58 .
  • Hdhie , U. ( 1981 ),“ Fuzzy plausibility measure ” In Proc. Third Intern. Seminar Fuzzy Set Theory , edited by E.P. Klemenl , Johannes Kepler Univ ., Linz , pp. 7 – 30 .
  • Kaufmann , A. ( 1975 ), Introduction to the Theory of Fuzzy Subsets , Academic Pre , New York .
  • Klir , G.J. ( 1987 ),“ Where do we stand on measure of uncertainty, ambiguity, fuzziness,and the like? ,” Fuzzy Sets and Systems , 24 , 141 – 160 .
  • Klir , G.J. and Ramer , A. ( 1990 ),“ Uncertainty in Dempster-Shafer theory; A critical re-examination ,” International Journal of Central Systems , 18 , 155 – 166 .
  • Lamata , M.T. and Moral , S. ( 1987 ),“ Measure of entropy in the theory of evidence ,” International Journal of General Systems , 14 , 297 – 305 .
  • Lamata , M.T. and Moral , S. ( 1988 ),“ Medida de entropia en La teoria de La Evidenda ,” Trabajos de EstadSstka , 3 , 15 – 31 .
  • Lamata , M.T. and Moral , S. ( 1989 ),“ Classification of fuzzy measure ,” Fuzzy Sets and Systems , 33 , 243 – 253 .
  • Nguyen , H.T. ( 1985 ), “ On entropy of random sets and possibility distribution ” In The Analysis of Fuzzy Information , edited by J.C. Bczdck , CRC Press , Boca Raton .
  • Pal , N.R. Bezdek , J C. and Hemasinha , R. ( 1992 ),“ Uncertainty measures for evidential reasoning I A review ,” International Journal of Approximate Reasoning , 7 , 165 – 183 .
  • Pal , N.R. , Bczdck , J.C. and Hemasinha , R. ( 1993 ).“ Uncertainty measures for evidential reasoning II A new measure of total uncertainty ,” International Journal of Approximate Reasoning , 8 , 1 – 16 .
  • Shafer , G. ( 1976 ), A Mathematical Theory of Evidence Princeton University Pre , Princeton , N. J .
  • Shannon , C.E. ( 1948 ),“ The mathematical theory of communication ,” Bell System Tech. J. , 27 , 379 – 423 . 623 – 656 .
  • Sugeno , M. ( 1974 ).“ Theory of fuzzy integrals and its applications ,” Ph.D. thesis , Tokio Technology .
  • Yagert , R.R. ( 1982 ),“ Generalized probabilities of fuzzy event from fuzzy belief structures ,” Technical Report Mil-203 , lona College , New Rocheile , New York .
  • Yager , R.R. ( 1983 ),“ Entropy and specificity in a Mathematical Theory of Evidence ,” International Journal of General Systems , 9 , 249 – 260 .
  • Zadeh , L.A. ( 1965 ),“ Fuzzy sets ,” Information and Control , 8 338 – 353 .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.