Mm-OWA: A Generalization of OWA Operators

被引：14
|
作者：
Amarante, Massimiliano [1 ,2 ]
机构：
[1] Univ Montreal, Dept Econ, Montreal, PQ H3T 1J4, Canada
[2] CIREQ, Montreal, PQ H3C 3J7, Canada
来源：
IEEE TRANSACTIONS ON FUZZY SYSTEMS | 2018年 / 26卷 / 04期
关键词：
Choquet integral; Clarke differential; ordered weighted averaging (OWA) operators; permutation invariance; EXPECTED UTILITY; PROBABILITY;
D O I：
10.1109/TFUZZ.2017.2762637
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
We characterize those operators that satisfy the properties of monotonicity, permutation invariance, positive homogeneity, and translation invariance. As these operators do not necessarily satisfy comonotonic additivity, their class is larger than that of ordered weighted averaging (OWA) operators. We give a representation theorem for these operators, which shows, nonetheless, that this more general class can he constructed directly from that of OWA operators. In addition, we characterize the special classes consisting of operators that are either subadditive or superadditive. We suggest applications to the evaluation of complex systems.
引用
收藏
页码：2099 / 2106
页数：8
相关论文
共 50 条
  • [1] On the comparisons of OWA operators and ordinal OWA operators
    Fan, TH
    Ralescu, DA
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1997, 5 (01) : 1 - 12
  • [2] Nonmonotonic OWA operators
    R. R. Yager
    [J]. Soft Computing, 1999, 3 (3) : 187 - 196
  • [3] Dependent OWA operators
    Xu, Zeshui
    [J]. MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE, 2006, 3885 : 172 - 178
  • [4] Centered OWA Operators
    R. R. Yager
    [J]. Soft Computing, 2007, 11 : 631 - 639
  • [5] Centered OWA operators
    Yager, R. R.
    [J]. SOFT COMPUTING, 2007, 11 (07) : 631 - 639
  • [6] Generalizations of OWA Operators
    Mesiar, Radko
    Stupnanova, Andrea
    Yager, Ronald R.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2015, 23 (06) : 2154 - 2162
  • [7] FAMILIES OF OWA OPERATORS
    YAGER, RR
    [J]. FUZZY SETS AND SYSTEMS, 1993, 59 (02) : 125 - 148
  • [8] Aggregation of OWA Operators
    Mesiar, Radko
    Sipeky, Ladislav
    Gupta, Pankaj
    Jin LeSheng
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (01) : 284 - 291
  • [9] On the orders of OWA operators
    Dai, Songsong
    Zheng, Jianwei
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2023, 44 (02) : 1613 - 1623
  • [10] Heavy OWA operators
    Yager R.R.
    [J]. Fuzzy Optimization and Decision Making, 2002, 1 (4) : 379 - 397
12345