Properties of measures of information in evidence and possibility theories

被引:19
作者
Dubois, D [1 ]
Prade, H [1 ]
机构
[1] Univ Toulouse 3, Lab Langages & Syst Informat, F-31062 Toulouse, France
关键词
information measure; entropy; Shafer's theory of evidence; possibility theory;
D O I
10.1016/S0165-0114(99)80005-0
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
An overview of information measures recently introduced by several authors in the setting of Shafer's theory of evidence is proposed. New results pertaining to additivity and monotonicity properties of these measures of information are presented. The interpretation of each measure of information as opposed to others is discussed. The potential usefulness of measures of specificity or imprecision is suggested, and a 'principle of minimal specificity' is stated for the purpose of reconstructing a body of evidence from incomplete knowledge.
引用
收藏
页码:35 / 49
页数:15
相关论文
共 42 条
[1]  
ACZEL L, 1972, LECT FUNCTIONAL EQUA
[2]  
[Anonymous], 1973, INTRO THEORIE SOUS E
[3]  
[Anonymous], 1985, THEORIE POSSIBILITES
[4]   ON CHARACTERIZING SOME GENERALIZATIONS OF SHANNONS ENTROPY [J].
ARORA, PN .
INFORMATION SCIENCES, 1980, 21 (01) :13-22
[5]  
Buchanan BG., 1984, Rule Based Expert Systems: The Mycin Experiments of the Stanford Heuristic Programming Project (The Addison-Wesley series in artificial intelligence)
[6]   DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].
DELUCA, A ;
TERMINI, S .
INFORMATION AND CONTROL, 1972, 20 (04) :301-&
[7]   UPPER AND LOWER PROBABILITIES INDUCED BY A MULTIVALUED MAPPING [J].
DEMPSTER, AP .
ANNALS OF MATHEMATICAL STATISTICS, 1967, 38 (02) :325-&
[8]  
DINOLA A, 1981, BUSEFAL, V8, P68
[9]   A SET-THEORETIC VIEW OF BELIEF FUNCTIONS - LOGICAL OPERATIONS AND APPROXIMATIONS BY FUZZY-SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1986, 12 (03) :193-226
[10]   A NOTE ON MEASURES OF SPECIFICITY FOR FUZZY-SETS [J].
DUBOIS, D ;
PRADE, H .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1985, 10 (04) :279-283