Representing Uncertainty With Information Sets

被引:36
作者
Aggarwal, Manish [1 ]
Hanmandlu, Madasu [2 ]
机构
[1] Indian Inst Management, Ahmadabad 380015, Gujarat, India
[2] IIT Delhi, Dept Elect Engn, New Delhi 110016, India
关键词
Agent; fuzzy sets; Hanman-Anirban entropy function; information sets; information source; intuitionistic information set (IIS); probabilistic information set (PIS); Shannon transforms; uncertainty measures; FUZZY-SETS; ENTROPY; PROBABILITY; FUZZINESS;
D O I
10.1109/TFUZZ.2015.2417593
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
We develop new methods for the representation of uncertainty in the granularized information source values by making use of the entropy framework in the possibilistic domain. An information-theoretic entropy function is used to map the information source values to information (entropy) values. We term a collection of such information values as an information set. The information values are then used in an adaptive form of this entropy function to formulate Shannon transforms. A few uncertainty measures are derived from these transforms for the quantification of uncertainty. Information set is also extended to other domains, such as probabilistic, intuitionistic, and probabilistic-intuitionistic domains. A biometric application is included to demonstrate the usefulness of the study.
引用
收藏
页码:1 / 15
页数:15
相关论文
共 37 条
[1]  
Agarwal M., 2014, 2014 IEEE INT C FUZZ
[2]  
Atanassov K., 1984, 7 ITKRSS SESS SOF JU
[3]   INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1986, 20 (01) :87-96
[4]   MORE ON INTUITIONISTIC FUZZY-SETS [J].
ATANASSOV, KT .
FUZZY SETS AND SYSTEMS, 1989, 33 (01) :37-45
[5]   Construction of Interval-Valued Fuzzy Relations With Application to the Generation of Fuzzy Edge Images [J].
Barrenechea, Edurne ;
Bustince, Humberto ;
De Baets, Bernard ;
Lopez-Molina, Carlos .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2011, 19 (05) :819-830
[6]   Ignorance functions. An application to the calculation of the threshold in prostate ultrasound images [J].
Bustince, H. ;
Pagola, M. ;
Barrenechea, E. ;
Fernandez, J. ;
Melo-Pinto, P. ;
Couto, P. ;
Tizhoosh, H. R. ;
Montero, J. .
FUZZY SETS AND SYSTEMS, 2010, 161 (01) :20-36
[7]   GENERALIZED ATANASSOV'S INTUITIONISTIC FUZZY INDEX. CONSTRUCTION OF ATANASSOV'S FUZZY ENTROPY FROM FUZZY IMPLICATION OPERATORS [J].
Bustince, Humberto ;
Barrenechea, Edurne ;
Pagola, Miguel ;
Fernandez, Javier ;
Guerra, Carlos ;
Couto, Pedro ;
Melo-Pinto, Pedro .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2011, 19 (01) :51-69
[8]  
Bustince H, 2010, INT J COMPUT INT SYS, V3, P215
[9]   DEFINITION OF NONPROBABILISTIC ENTROPY IN SETTING OF FUZZY SETS THEORY [J].
DELUCA, A ;
TERMINI, S .
INFORMATION AND CONTROL, 1972, 20 (04) :301-&
[10]   MEMBERSHIP FUNCTION AS AN EVALUATION [J].
DOMBI, J .
FUZZY SETS AND SYSTEMS, 1990, 35 (01) :1-21