Wasserstein distance for OWA operators

被引:0
|
作者
Harmati, Istvan a. [1 ]
Coroianu, Lucian [2 ]
Fuller, Robert [3 ,4 ]
机构
[1] Szecheny Istvan Univ, Dept Math & Computat Sci, Gyor, Hungary
[2] Univ Oradea, Dept Math & Comp Sci, Oradea, Romania
[3] Szecheny Istvan Univ, Dept Informat, Gyor, Hungary
[4] Hungarian Res Network, Budapest, Hungary
关键词
Ordered weighted averaging (OWA) operator; Linguistic quantifier; Wasserstein distance;
D O I
10.1016/j.fss.2024.108931
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We suggest a distance measure for OWA operators. First we associate an OWA operator with a unique regular increasing monotone quantifier and then define the distance between two OWA operators as the Wasserstein -1 distance between their associated quantifiers.
引用
收藏
页数:6
相关论文
共 50 条
  • [1] GENERALIZED MOVING AVERAGES, DISTANCE MEASURES AND OWA OPERATORS
    Merigo, Jose M.
    Yager, Ronald R.
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2013, 21 (04) : 533 - 559
  • [2] DISTANCE MEASURES WITH PROBABILITIES, OWA OPERATORS AND WEIGHTED AVERAGES
    Merigo, Jose M.
    Zhou, Ligang
    Yu, Dejian
    DECISION MAKING AND SOFT COMPUTING, 2014, 9 : 324 - 329
  • [3] On the comparisons of OWA operators and ordinal OWA operators
    Fan, TH
    Ralescu, DA
    INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 1997, 5 (01) : 1 - 12
  • [4] Comparing distance to consensus of collective relations using OWA operators
    Khalid, Asma
    Awais, Mian Muhammad
    JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 28 (04) : 1647 - 1657
  • [5] Distance measures, weighted averages, OWA operators and Bonferroni means
    Merigo, Jose M.
    Palacios-Marques, Daniel
    Soto-Acosta, Pedro
    APPLIED SOFT COMPUTING, 2017, 50 : 356 - 366
  • [6] Nonmonotonic OWA operators
    R. R. Yager
    Soft Computing, 1999, 3 (3) : 187 - 196
  • [7] Mm-OWA: A Generalization of OWA Operators
    Amarante, Massimiliano
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2018, 26 (04) : 2099 - 2106
  • [8] Centered OWA Operators
    R. R. Yager
    Soft Computing, 2007, 11 : 631 - 639
  • [9] Dependent OWA operators
    Xu, Zeshui
    MODELING DECISIONS FOR ARTIFICIAL INTELLIGENCE, 2006, 3885 : 172 - 178
  • [10] Centered OWA operators
    Yager, R. R.
    SOFT COMPUTING, 2007, 11 (07) : 631 - 639