Intuitionistic Fuzzy Choquet Integrals and Their Application in Modeling Linguistic Quantifiers

被引：0
|
作者：
Li, Yongming [1 ]
Li, Lu [2 ]
机构：
[1] Shaanxi Normal Univ, Coll Comp Sci, Xian 710062, Peoples R China
[2] Shaanxi Normal Univ, Coll Math & Informat Sci, Xian 710062, Peoples R China
来源：
PROCEEDINGS OF THE 2013 JOINT IFSA WORLD CONGRESS AND NAFIPS ANNUAL MEETING (IFSA/NAFIPS) | 2013年
关键词：
D O I：
暂无
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
The notion of intuitionistic fuzzy Choquet integrals is introduced. Then, some nice properties, including component-wise decomposition property, duality property, a simple form of the discrete expression, of intuitionistic fuzzy Choquet integrals are studied. As an application of intuitionistic fuzzy Choquet integrals, Cui and Li's model (L.C.Cui, Y.M.Li, Linguistic quantifiers based on Choquet integrals, International Journal of Approximate Reasoning, 48 (2008) 559-582.) of linguistic quantifiers is generalized to intuitionistic linguistic quantifiers. Description of a quantifier by intuitionistic fuzzy measures allows us to take into account differences in understanding the meaning of the quantifier by different persons. Some elegant logical properties of linguistic quantifiers are derived within this approach.
引用
收藏
页码：315 / 320
页数：6
相关论文
共 50 条
  • [1] Linguistic quantifiers based on Choquet integrals
    Cui, Licong
    Li, Yongming
    [J]. INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2008, 48 (02) : 559 - 582
  • [2] INTUITIONISTIC FUZZY LINGUISTIC QUANTIFIERS BASED ON INTUITIONISTIC FUZZY-VALUED FUZZY MEASURES AND INTEGRALS
    Cui, Licong
    Li, Yongming
    Zhang, Xiaohong
    [J]. INTERNATIONAL JOURNAL OF UNCERTAINTY FUZZINESS AND KNOWLEDGE-BASED SYSTEMS, 2009, 17 (03) : 427 - 448
  • [3] Choquet integrals of weighted intuitionistic fuzzy information
    Xu, Zeshui
    [J]. INFORMATION SCIENCES, 2010, 180 (05) : 726 - 736
  • [4] Generalized Compensative Intuitionistic Fuzzy Information with Choquet Integrals
    Khatri, Madhav
    Kuppili, Venkatanareshbabu
    Edla, Damodar Reddy
    [J]. 2019 10TH INTERNATIONAL CONFERENCE ON COMPUTING, COMMUNICATION AND NETWORKING TECHNOLOGIES (ICCCNT), 2019,
  • [5] A comparison of the linguistic Choquet and Sugeno fuzzy integrals
    Auephanwiriyakul, S
    Keller, JM
    [J]. 10TH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS, VOLS 1-3: MEETING THE GRAND CHALLENGE: MACHINES THAT SERVE PEOPLE, 2001, : 312 - 315
  • [6] Linguistic quantifiers modeled by interval-valued intuitionistic Sugeno integrals
    Zhang, Xiaohong
    Zheng, Yue
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2015, 29 (02) : 583 - 592
  • [7] Choquet integrals of weighted generalized and group generalized intuitionistic fuzzy soft sets
    Sheng Li
    Xiao-qi Peng
    Yu-xiao Li
    [J]. Soft Computing, 2020, 24 : 745 - 760
  • [8] Choquet integrals of weighted generalized and group generalized intuitionistic fuzzy soft sets
    Li, Sheng
    Peng, Xiao-qi
    Li, Yu-xiao
    [J]. SOFT COMPUTING, 2020, 24 (02) : 745 - 760
  • [9] Multidimensional Intuitionistic Fuzzy Quantifiers
    Atanassov, Krassimir
    Georgiev, Ivan
    Szmidt, Eulalia
    Kacprzyk, Janusz
    [J]. 2016 IEEE 8TH INTERNATIONAL CONFERENCE ON INTELLIGENT SYSTEMS (IS), 2016, : 530 - 534
  • [10] Linguistic hesitant intuitionistic fuzzy linear assignment method based on Choquet integral
    Yang, Wei
    Pang, Yongfeng
    Shi, Jiarong
    Yue, Hongyun
    [J]. JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2017, 32 (01) : 767 - 780
12345