PROBABILITY-POSSIBILITY TRANSFORMATIONS - A COMPARISON

被引:71
作者
KLIR, GJ
PARVIZ, B
机构
[1] CALIF STATE UNIV LOS ANGELES, DEPT MATH & COMP SCI, LOS ANGELES, CA 90032 USA
[2] UNIVERSAL SOFTWARE ENGN, SANTA CLARITA, CA USA
关键词
PROBABILITY THEORY; POSSIBILITY THEORY; PROBABILITY-POSSIBILITY TRANSFORMATIONS;
D O I
10.1080/03081079208945083
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
After a brief discussion of the relationship between probability theory and possibility theory, the paper overviews the various proposed probability-possibility transformations. Principles by which these transformations are justified are critically examined, which results in some conclusions as well as the identification of issues that require further research.
引用
收藏
页码:291 / 310
页数:20
相关论文
共 26 条
[1]   ON THE CONCEPT OF POSSIBILITY PROBABILITY CONSISTENCY [J].
DELGADO, M ;
MORAL, S .
FUZZY SETS AND SYSTEMS, 1987, 21 (03) :311-318
[2]   UNFAIR COINS AND NECESSITY MEASURES - TOWARDS A POSSIBILISTIC INTERPRETATION OF HISTOGRAMS [J].
DUBOIS, D ;
PRADE, H .
FUZZY SETS AND SYSTEMS, 1983, 10 (01) :15-20
[3]   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
[4]   FUZZY-SETS AND STATISTICAL-DATA [J].
DUBOIS, D ;
PRADE, H .
EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1986, 25 (03) :345-356
[5]  
DUBOIS D, 1991, 4 INT FUZZ SYST ASS, P50
[6]  
Dubois D., 1988, POSSIBILITY THEORY A
[7]  
Dubois D., 1982, FUZZY INFORM DECISIO, P167
[8]  
Geer J. F., 1991, International Journal of General Systems, V19, P119, DOI 10.1080/03081079108935167
[9]   A MATHEMATICAL-ANALYSIS OF INFORMATION-PRESERVING TRANSFORMATIONS BETWEEN PROBABILISTIC AND POSSIBILISTIC FORMULATIONS OF UNCERTAINTY [J].
GEER, JF ;
KLIR, GJ .
INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1992, 20 (02) :143-176
[10]  
Klir G., 1988, FUZZY SETS UNCERTAIN