Domination of ordered weighted averaging operators over t-norms

被引:33
|
作者
Mesiar, R [1 ]
Saminger, S
机构
[1] Slovak Univ Technol Bratislava, Fac Civil Engn, Dept Math & Descript Geometry, SK-81368 Bratislava, Slovakia
[2] Acad Sci Czech Republ, Inst Informat Theory & Automat, CZ-18208 Prague 8, Czech Republic
[3] Johannes Kepler Univ Linz, Fuzzy Logic Lab Linz Hagenberg, Dept Algebra Stochast & Knowledge Based Math Syst, A-4040 Linz, Austria
关键词
domination; OWA operators;
D O I
10.1007/s00500-003-0315-x
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The fusion of transitive fuzzy relations preserving the transitivity is linked to the domination of the involved aggregation operator. The aim of this contribution is to investigate the domination of OWA operators over t-norms whereas the main emphasis is on the domination over the Lukasiewicz t-norm. The domination of OWA operators and related operators over continuous Archimedean t-norms will also be discussed.
引用
收藏
页码:562 / 570
页数:9
相关论文
共 50 条
  • [1] Domination of ordered weighted averaging operators over t-norms
    R. Mesiar
    S. Saminger
    [J]. Soft Computing, 2004, 8 : 562 - 570
  • [2] SOME RESULTS ON THE WEAK DOMINANCE RELATION BETWEEN ORDERED WEIGHTED AVERAGING OPERATORS AND T-NORMS
    Li, Gang
    Li, Zhenbo
    Wang, Jing
    [J]. KYBERNETIKA, 2024, 60 (03) : 379 - 393
  • [3] Domination in the families of Frank and Hamacher t-norms
    Sarkoci, P
    [J]. KYBERNETIKA, 2005, 41 (03) : 349 - 360
  • [4] Induced ordered weighted averaging operators
    Yager, RR
    Filev, DP
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1999, 29 (02): : 141 - 150
  • [5] Smooth Ordered Weighted Averaging operators
    Rachwal, Alicja
    Karczmarek, Pawel
    Rachwal, Albert
    [J]. INFORMATION SCIENCES, 2025, 686
  • [6] The ordered weighted geometric averaging operators
    Xu, ZS
    Da, WL
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2002, 17 (07) : 709 - 716
  • [7] CHARACTERIZATION OF THE ORDERED WEIGHTED AVERAGING OPERATORS
    FODOR, J
    MARICHAL, JL
    ROUBENS, M
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1995, 3 (02) : 236 - 240
  • [8] INDISTINGUISHABILITY OPERATORS WITH RESPECT TO DIFFERENT t-NORMS
    Boixader, D.
    Recasens, J.
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2012, 20 (02) : 167 - 183
  • [9] Ordered Weighted Averaging Operators A Short Review
    Csiszar, Orsolya
    [J]. IEEE SYSTEMS MAN AND CYBERNETICS MAGAZINE, 2021, 7 (02): : 4 - 12
  • [10] Ranking of alternatives with ordered weighted averaging operators
    Lamata, MT
    [J]. INTERNATIONAL JOURNAL OF INTELLIGENT SYSTEMS, 2004, 19 (05) : 473 - 482