Approximate evaluations based on aggregation functions

被引:12
作者
Bodjanova, Slavka [1 ]
Kalina, Martin [2 ]
机构
[1] Texas A&M Univ Kingsville, Dept Math, Kingsville, TX 78363 USA
[2] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math, Bratislava 81368, Slovakia
关键词
Evaluation; Aggregation functions; Triangular norms; Granules of a fuzzy set; Fuzzy relations; Approximation; Rough sets;
D O I
10.1016/j.fss.2012.07.014
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Aggregation of real-valued evaluations of elements x,y from a set U is investigated in order to find an approximate evaluation of the composition of x and y performed by a binary operation defined on U. The notions of a lower bound and an upper bound of an evaluation function with respect to a binary operation are introduced and illustrated with examples. Approximate evaluations of composite concepts described by the union of granules of a finite fuzzy set are studied in detail. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:34 / 52
页数:19
相关论文
共 23 条
[1]  
[Anonymous], 1994, Fuzzy preference modelling and multicriteria decision support
[2]  
Bodjanova S., 2011, P AGOP 2011 BEN IT, P159
[3]  
Bodjanova S., 2009, P AGOP 2009 PALM DE, P65
[4]  
Bodjanova S, 2010, COMM COM INF SC, V80, P268
[5]   T-evaluators and S-evaluators [J].
Bodjanova, Slavka ;
Kalina, Martin .
FUZZY SETS AND SYSTEMS, 2009, 160 (14) :1965-1983
[6]  
Bouchon-Meunier B., 1998, AGGREGATION FUSION I
[7]  
Calvo T, 2002, STUD FUZZ SOFT COMP, V97, P3
[8]   FUZZY RELATION EQUATIONS THEORY AS A BASIS OF FUZZY MODELING - AN OVERVIEW [J].
DINOLA, A ;
PEDRYCZ, W ;
SESSA, S ;
SANCHEZ, E .
FUZZY SETS AND SYSTEMS, 1991, 40 (03) :415-429
[9]  
Dubois D., 2000, The Handbooks of Fuzzy Sets Series
[10]   Evaluations of fuzzy quantities [J].
Facchinetti, G ;
Pacchiarotti, N .
FUZZY SETS AND SYSTEMS, 2006, 157 (07) :892-903