Entropy and Monotonicity

被引：1

作者：

Bouchon-Meunier, Bernadette ^{[1
]}

Marsala, Christophe ^{[1
]}

机构：

[1] Sorbonne Univ, CNRS, LIP6, F-75005 Paris, France

来源：

INFORMATION PROCESSING AND MANAGEMENT OF UNCERTAINTY IN KNOWLEDGE-BASED SYSTEMS: THEORY AND FOUNDATIONS, PT II | 2018年 / 854卷

关键词：

Entropy; Monotonicity; Refinement of information; Measure of fuzziness; Intuitionistic entropy measure; INTUITIONISTIC FUZZY-SETS;

D O I：

10.1007/978-3-319-91476-3_28

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Measuring the information provided by the observation of events has been a challenge for seventy years, since the simultaneous inception of entropy by Claude Shannon and Norbert Wiener in 1948. Various definitions have been proposed, depending on the context, the point of view and the chosen knowledge representation. We show here that one of the most important common feature in the choice of an entropy is its behavior with regard to the refinement of information and we analyse various definitions of monotonicity.

引用

页码：332 / 343

页数：12

共 19 条

[1] Aczel J, 1975, MATH SCI ENG, V115
[2] ACZEL J, 1978, COMPUT SCI, V12, P149
[3] [Anonymous], 1961, Cybernetics or Control and Communication in the Animal and the Machine
[4] [Anonymous], 1964, MATH THEORY COMMUNIC
[5] [Anonymous], 2005, 9 INT C IFSS SOFIA
[6] INTUITIONISTIC FUZZY-SETS
ATANASSOV, KT
[J]. FUZZY SETS AND SYSTEMS, 1986, 20 (01) : 87 - 96
[7] ENTROPIC MODELS
BOUCHON, B
[J]. CYBERNETICS AND SYSTEMS, 1987, 18 (01) : 1 - 13
[8] Bouchon-Meunier B, 2017, STUD FUZZ SOFT COMP, V344, P47, DOI 10.1007/978-3-319-40314-4_3
[9] Entropy on intuitionistic fuzzy sets and on interval-valued fuzzy sets
Burillo, P
Bustince, H
[J]. FUZZY SETS AND SYSTEMS, 1996, 78 (03) : 305 - 316
[10] DEFERIET JK, 1969, CR ACAD SCI A MATH, V269, P1081

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