Triangular norm-based iterative compensatory operators

被引:54
作者
Kolesárová, A
Komorníková, M
机构
[1] Strojnicka Fak STU, Bratislava 81231, Slovakia
[2] Stavebna Fak STU, Bratislava 81368, Slovakia
关键词
aggregation operator; iterative aggregation operator; compensatory operator; iterative compensatory operator; triangular norm;
D O I
10.1016/S0165-0114(98)00263-2
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Aggregation operators based on a fixed t-norm and on suitable transformations of processed data are introduced. A special attention is paid to the class of iterative compensatory operators containing also the classical arithmetic, geometric and harmonic means. Several properties of introduced operators are studied, e.g., the symmetry, the associativity, the idempotency, the anihilation, etc. Several examples are given, including continuous idempotent bisymmetric iterative compensatory operators with zero anihilator. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:109 / 120
页数:12
相关论文
共 16 条
[2]  
Klement E.P., 1997, TATRA MT MATH PUBL, V13, P169
[3]   On the relationship of associative compensatory operators to triangular norms and conorms [J].
Klement, EP ;
Mesiar, R ;
Pap, E .
INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1996, 4 (02) :129-144
[4]   Some mathematical aspects of fuzzy sets: Triangular norms, fuzzy logics, and generalized measures [J].
Klement, EP .
FUZZY SETS AND SYSTEMS, 1997, 90 (02) :133-140
[5]  
KLEMENT EP, UNPUB MONOGRAPH
[6]  
KLIR G. J., 1995, FUZZY SETS APPL
[7]  
LING CH, 1965, PUBL MATH-DEBRECEN, V12, P189
[8]   COMPENSATORY OPERATORS IN FUZZY LINEAR-PROGRAMMING WITH MULTIPLE OBJECTIVES [J].
LUHANDJULA, MK .
FUZZY SETS AND SYSTEMS, 1982, 8 (03) :245-252
[9]  
MESIAR R, P 12 C APPL MATH I M, P193
[10]  
MESIAR R, 1997, AGGREGATION FUSION I, P11