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Original Articles

Difference of entropies as a non-specificity function on credal sets†

Pages 201-214 | Received 05 Nov 2004, Accepted 21 Feb 2005, Published online: 26 Jan 2007

References

References

  • Abellán , J and Moral , S . 2000 . A non-specificity measure for convex sets of probability distributions . Int. J. Uncertain. Fuzz. Knowledge-Based Syst. , 8 : 357 – 367 .
  • Abellán , J and Moral , S . 2003 . Maximum of entropy for credal sets . Int. J. Uncertain. Fuzz. Knowledge-Based Syst. , 11 ( 5 ) : 1215 – 1225 .
  • Campos , LMde and Bolaños , MJ . 1989 . Characterization of fuzzy measures trough probabilities . Fuzzy Sets Syst. , 31 : 23 – 36 .
  • Campos , LMde , Huete , JF and Moral , S . 1994 . Probability intervals: a tool for uncertainty reasoning . Int. J. Uncertain. Fuzz. Knowledge-Based Syst. , 2 : 167 – 196 .
  • Choquet , G . 1953/54 . Théorie des capacités . Ann. Inst. Fourier , 5 : 131 – 292 .
  • Dempster , AP . 1967 . Upper and lower probabilities induced by a multivaluated mapping . Ann. Math. Statistic , 38 : 325 – 339 .
  • Dubois , D and Prade , H . 1985 . A note on measures of specificity for fuzzy sets . Int. J. Gen. Syst. , 10 : 279 – 283 .
  • Harmanec , D and Klir , GJ . 1994 . Measuring total uncertainty in Dempster-Shafer theory: a novel approach . Int. J. Gen. Syst. , 22 : 405 – 419 .
  • Kapur JN Measures of Information and Their Applications Chapter 23 New York John Wiley 1994
  • Kapur , JN , Baciu , G and Kesavan , HK . 1995 . The MinMax information measure . Int. J. Syst. Sci. , 26 ( 1 ) : 1 – 12 .
  • Klir , GJ and Smith , RM . 2001 . On measuring uncertainty and uncertainty-based information: recent developments . Ann. Math. Artif. Intell. , 32 : 5 – 33 .
  • Klir GJ Wierman MJ Uncertainty-Based Information, Physica-Verlag 1998
  • Maeda , Y and Ichihashi , H . 1993 . A uncertainty measure with monotonicity under the random set inclusion . Int. J. Gen. Syst. , 21 : 379 – 392 .
  • Meyerowitz , A , Richman , F and Walker , EA . 1994 . Calculating maximum-entropy probabilities densities for belief functions . Int. J. Uncertain. Fuzz. Knowledge-Based Syst. , 2 : 377 – 389 .
  • Shafer G A Mathematical Theory of Evidence Princeton Princeton University Press 1976
  • Shannon CE A mathematical theory of communication Bell Syst. Technical J. 27 379 423 see also 623–656 1948
  • Smith RM Generalize information theory: resolving some old questions and opening some new ones Ph.D. dissertation Binghamton Binghamton University- SUNY 2000
  • Walley P Statistical Reasoning with Imprecise Probabilities New York Chapman and Hall 1991
  • Yager , RR . 1983 . Entropy and specificity in a mathematical theory of evidence . Int. J. Gen. Syst. , 9 : 249 – 260 .

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