The necessity of the strong α-cuts of a fuzzy set

被引：34

作者：

Couso, I ^{[1
]}

Montes, S ^{[1
]}

Gil, P ^{[1
]}

机构：

[1] Dept Estadist IO & DM, Oviedo 33071, Spain

来源：

INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS | 2001年 / 9卷 / 02期

关键词：

random set; upper probability upper envelope; possibility measure; fuzzy set; strong alpha-cut;

D O I：

10.1142/S0218488501000788

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Some aspects of the relationship between Goodman and Nguyen's one-point coverage interpretation of a fuzzy set and Zadeh's possibilistic interpretation are discussed. As a result of this, we derive a new interpretation of the strong a-cut of a normalized fuzzy set, namely that of being the most precise set we are sure to contain an unknown parameter with probability greater than or equal to 1 - alpha.

引用

页码：249 / 262

页数：14

共 31 条

[11] The three semantics of fuzzy sets [J].

Dubois, D ;

Prade, H .

FUZZY SETS AND SYSTEMS, 1997, 90 (02) :141-150

[12]

Dubois D.J., 1980, FUZZY SETS SYSTEMS T

[13]

Goodman I.R., 1985, UNCERTAINTY MODELS K

[14]

GOODMAN IR, 1982, FUZZY SETS POSSIBILI

[15] Sets and points: A stratified approach to fuzzy sets and points [J].

Herencia, JA .

FUZZY SETS AND SYSTEMS, 1996, 77 (02) :191-202

[16]

HERENCIA JA, 1995, THESIS U CORDOBA

[17]

Huber P. J., 1981, ROBUST STAT

[18] REPRESENTATION OF FUZZY MEASURES THROUGH PROBABILITIES [J].

IBANEZ, LMD ;

CARMONA, MJB .

FUZZY SETS AND SYSTEMS, 1989, 31 (01) :23-36

[19]

Klir G. J., 1987, Fuzzy Sets, Uncertainty, and Information

[20] On fuzzy-set interpretation of possibility theory [J].

Klir, GJ .

FUZZY SETS AND SYSTEMS, 1999, 108 (03) :263-273

← 1 2 3 4 →