On representation of fuzzy measures for learning Choquet and Sugeno integrals

被引：17
|
作者：
Beliakov, Gleb [1 ]
Divakov, Dmitriy [2 ]
机构：
[1] Deakin Univ, Sch Informat Technol, Geelong, Vic 3220, Australia
[2] RUDN Univ, Peoples Friendship Univ Russia, 6 Miklukho Maklaya St, Moscow 117198, Russia
来源：
KNOWLEDGE-BASED SYSTEMS | 2020年 / 189卷
关键词：
Aggregation functions; Fuzzy measures; Capacities; Choquet integral; Sugeno integral; Multicriteria decision making; AGGREGATION;
D O I：
10.1016/j.knosys.2019.105134
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
This paper examines the marginal contribution representation of fuzzy measures, used to construct fuzzy measure from empirical data through an optimization process. We show that the number of variables can be drastically reduced, and the constraints simplified by using an alternative representation. This technique makes optimizing fitting criteria more efficient numerically, and allows one to tackle learning problems with higher number of correlated decision criteria. (C) 2019 Elsevier B.V. All rights reserved.
引用
收藏
页数：5
相关论文
共 50 条
  • [1] 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
  • [2] The choquet and sugeno integrals as measures of total effectiveness of medicines
    Rakus-Andersson, Elisabeth
    Jogreus, Claes
    [J]. THEORETICAL ADVANCES AND APPLICATIONS OF FUZZY LOGIC AND SOFT COMPUTING, 2007, 42 : 253 - +
  • [3] Estimations, convergences and comparisons on fuzzy integrals of Sugeno, Choquet and Gould type
    Croitoru, Anca
    Mastorakis, Nikos
    [J]. 2014 IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE), 2014, : 1205 - 1212
  • [4] On Stolarsky inequality for Sugeno and Choquet integrals
    Agahi, Hamzeh
    Mesiar, Radko
    Ouyang, Yao
    Pap, Endre
    Strboja, Mirjana
    [J]. INFORMATION SCIENCES, 2014, 266 : 134 - 139
  • [5] CHARACTERIZATION AND COMPARISON OF SUGENO AND CHOQUET INTEGRALS
    DECAMPOS, LM
    BOLANOS, MJ
    [J]. FUZZY SETS AND SYSTEMS, 1992, 52 (01) : 61 - 67
  • [6] Space of fuzzy measures and representation of Choquet integral
    Narukawa, Y
    Murofushi, T
    Sugeno, M
    [J]. JOINT 9TH IFSA WORLD CONGRESS AND 20TH NAFIPS INTERNATIONAL CONFERENCE, PROCEEDINGS, VOLS. 1-5, 2001, : 167 - 172
  • [7] Fuzzy Measures and Choquet Integrals Based on Fuzzy Covering Rough Sets
    Zhang, Xiaohong
    Wang, Jingqian
    Zhan, Jianming
    Dai, Jianhua
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2022, 30 (07) : 2360 - 2374
  • [8] On Carlson's inequality for Sugeno and Choquet integrals
    Boczek, Michal
    Kaluszka, Marek
    [J]. SOFT COMPUTING, 2016, 20 (07) : 2513 - 2519
  • [9] Derived Fuzzy Measures and Derived Choquet Integrals With Some Properties
    Jin, Lesheng
    Mesiar, Radko
    Yager, Ronald R.
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2021, 29 (05) : 1320 - 1324
  • [10] On Carlson’s inequality for Sugeno and Choquet integrals
    Michał Boczek
    Marek Kaluszka
    [J]. Soft Computing, 2016, 20 : 2513 - 2519
12345