SOME RESULTS ON THE WEAK DOMINANCE RELATION BETWEEN ORDERED WEIGHTED AVERAGING OPERATORS AND T-NORMS

被引：0
|
作者：
Li, Gang [1 ]
Li, Zhenbo [2 ]
Wang, Jing [3 ]
机构：
[1] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China
[2] Shandong Univ Finance & Econ, Sch Stat & Math, Jinan 250014, Shandong, Peoples R China
[3] Qilu Univ Technol, Shandong Acad Sci, Sch Math & Stat, Jinan 250353, Shandong, Peoples R China
来源：
KYBERNETIKA | 2024年 / 60卷 / 03期
基金：
中国国家自然科学基金;
关键词：
domination; OWA operators; ordinal sum; t-norm; FUZZY PREFERENCE STRUCTURES; AGGREGATION OPERATORS; LUKASIEWICZ TRIPLETS; MODULARITY; DOMINATION; DISTRIBUTIVITY; DEFINITION; FAMILIES; PLEA;
D O I：
10.14736/kyb-2024-3-0379
中图分类号：
TP3 [计算技术、计算机技术];
学科分类号：
0812 ;
摘要：
Aggregation operators have the important application in any fields where the fusion of information is processed. The dominance relation between two aggregation operators is linked to the fusion of fuzzy relations, indistinguishability operators and so on. In this paper, we deal with the weak dominance relation between two aggregation operators which is closely related with the dominance relation. Weak domination of isomorphic aggregation operators and ordinal sum of conjunctors is presented. More attention is paid to the weak dominance relation between ordered weighted averaging operators and Lukasiewicz t-norm. Furthermore, the relationships between weak dominance and some functional inequalities of aggregation operators are discussed.
引用
收藏
页码：379 / 393
页数：15
相关论文
共 17 条
  • [1] Domination of ordered weighted averaging operators over t-norms
    R. Mesiar
    S. Saminger
    [J]. Soft Computing, 2004, 8 : 562 - 570
  • [2] Domination of ordered weighted averaging operators over t-norms
    Mesiar, R
    Saminger, S
    [J]. SOFT COMPUTING, 2004, 8 (08) : 562 - 570
  • [3] Some results on the weak dominance between t-norms and t-conorms
    Li, Gang
    Zhang, Li -Zhu
    Wang, Jing
    Li, Zhen-Bo
    [J]. FUZZY SETS AND SYSTEMS, 2023, 467
  • [4] The weak dominance between t-norms and t-conorms revisited
    Liu, Qiao-Yun
    Qin, Feng
    [J]. FUZZY SETS AND SYSTEMS, 2024, 487
  • [5] The dominance relation in some families of continuous Archimedean t-norms and copulas
    Saminger-Platz, Susanne
    [J]. FUZZY SETS AND SYSTEMS, 2009, 160 (14) : 2017 - 2031
  • [6] Some properties and representation methods for Ordered Weighted Averaging operators
    Jin, LeSheng
    [J]. FUZZY SETS AND SYSTEMS, 2015, 261 : 60 - 86
  • [7] DIFFERENTIAL INEQUALITY CONDITIONS FOR DOMINANCE BETWEEN CONTINUOUS ARCHIMEDEAN T-NORMS
    Saminger-Platz, Susanne
    De Baets, Bernard
    De Meyer, Hans
    [J]. MATHEMATICAL INEQUALITIES & APPLICATIONS, 2009, 12 (01): : 191 - 208
  • [8] On the relation between Compromise Programming and Ordered Weighted Averaging operator
    Zarghami, Mahdi
    Szidarovszky, Ferenc
    [J]. INFORMATION SCIENCES, 2010, 180 (11) : 2239 - 2248
  • [9] The dominance relation on the class of continuous T-norms from an ordinal sum point of view
    Saminger, Susanne
    Sarkoci, Peter
    De Baets, Bernard
    [J]. THEORY AND APPLICATIONS OF RELATIONAL STRUCTURES AS KNOWLEDGE INSTRUMENTS II, 2006, 4342 : 334 - +
  • [10] The connection between distortion risk measures and ordered weighted averaging operators
    Belles-Sampera, Jaume
    Merigo, Jose M.
    Guillen, Montserrat
    Santolino, Miguel
    [J]. INSURANCE MATHEMATICS & ECONOMICS, 2013, 52 (02): : 411 - 420
12