On the comparisons of OWA operators and ordinal OWA operators

被引:6
作者
Fan, TH
Ralescu, DA
机构
[1] SHAANXI TEACHERS UNIV,DEPT MATH,XIAN 710062,PEOPLES R CHINA
[2] UNIV CINCINNATI,DEPT MATH SCI,CINCINNATI,OH 45221
关键词
OWA operator; ordinal OWA operator; oreness; metric lattice;
D O I
10.1142/S0218488597000026
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, comparisons of OWA operators and ordinal OWA operators are carried out by using lattice theoretic methods. It is proved first that in both cases, the set of all aggregation operators forms a lattice, then the concept of positive valuation is used to measure the ''orness'' of aggregation operators and the structures of all such possible ''orness'' measures are determined.
引用
收藏
页码:1 / 12
页数:12
相关论文
共 11 条
[1]  
[Anonymous], 1965, INTRO LATTICE THEORY
[2]  
ARNOULD T, 1993, LECT NOTES ARTIF INT, V682, P119
[3]  
Birkhoff G., 1967, LATTICE THEORY, V25
[4]   A NOTE ON RULE REPRESENTATION IN EXPERT SYSTEMS [J].
RALESCU, AL .
INFORMATION SCIENCES, 1986, 38 (02) :193-203
[5]  
RALESCU AL, 1995, P IFSA C BRAZ, V1, P301
[6]  
RALESCU AL, 1996, IN PRESS FUZZY SETS
[7]  
RALESCU AL, 1995, COMBINING FUZZY QUAN, P246
[8]  
SKALA HJ, 1991, STAT PAP, V32, P35
[9]   ON ORDERED WEIGHTED AVERAGING AGGREGATION OPERATORS IN MULTICRITERIA DECISION-MAKING [J].
YAGER, RR .
IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1988, 18 (01) :183-190
[10]   APPLICATIONS AND EXTENSIONS OF OWA AGGREGATIONS [J].
YAGER, RR .
INTERNATIONAL JOURNAL OF MAN-MACHINE STUDIES, 1992, 37 (01) :103-132