Openings and closures of fuzzy preorderings: Theoretical basics and applications to fuzzy rule-based systems

被引:51
|
作者
Bodenhofer, U [1 ]
De Cock, M
Kerre, EE
机构
[1] Software Competence Ctr Hagenberg, A-4232 Hagenberg, Austria
[2] State Univ Ghent, Dept Appl Math & Comp Sci, B-9000 Ghent, Belgium
关键词
closedness; fuzzy preordering; fuzzy relation; linguistic modifier;
D O I
10.1080/0308107031000135026
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
The purpose of this paper is two-fold. Firstly, a general concept of closedness of fuzzy sets under fuzzy preorderings is proposed and investigated along with the corresponding opening and closure operators. Secondly, the practical impact of this notion is demonstrated by applying it to the analysis of ordering-based modifiers.
引用
收藏
页码:343 / 360
页数:18
相关论文
共 50 条
  • [1] Noninteractive fuzzy rule-based systems
    Lotfi, A
    Howarth, M
    [J]. INFORMATION SCIENCES, 1997, 99 (3-4) : 219 - 234
  • [2] Chaining in fuzzy rule-based systems
    Hall, LO
    [J]. NINTH IEEE INTERNATIONAL CONFERENCE ON FUZZY SYSTEMS (FUZZ-IEEE 2000), VOLS 1 AND 2, 2000, : 906 - 910
  • [3] ADAPTIVE FUZZY INTERPOLATION FOR SPARSE FUZZY RULE-BASED SYSTEMS
    Cheng, Shou-Hsiung
    Chen, Shyi-Ming
    Chen, Chia-Ling
    [J]. PROCEEDINGS OF 2015 INTERNATIONAL CONFERENCE ON MACHINE LEARNING AND CYBERNETICS (ICMLC), VOL. 1, 2015, : 352 - 358
  • [4] Fuzzy Decision Matrices Viewed as Fuzzy Rule-Based Systems
    Pavlacka, Ondrej
    Rotterova, Pavla
    [J]. 34TH INTERNATIONAL CONFERENCE MATHEMATICAL METHODS IN ECONOMICS (MME 2016), 2016, : 641 - 646
  • [5] A fuzzy reasoning approach for rule-based systems based on fuzzy logics
    Chen, SM
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1996, 26 (05): : 769 - 778
  • [6] Some applications of fuzzy logic iin rule-based expert systems
    Pham, TT
    Chen, GR
    [J]. EXPERT SYSTEMS, 2002, 19 (04) : 208 - 223
  • [7] Adaptive fuzzy rule-based classification systems
    Nozaki, K
    Ishibuchi, H
    Tanaka, H
    [J]. IEEE TRANSACTIONS ON FUZZY SYSTEMS, 1996, 4 (03) : 238 - 250
  • [8] Decoupling of multivariable rule-based fuzzy systems
    Babuska, R
    Gegov, A
    Verbruggen, HB
    [J]. ARTIFICIAL INTELLIGENCE IN REAL-TIME CONTROL 1998, 1999, : 13 - 16
  • [9] Matrix formulation of fuzzy rule-based systems
    Lotfi, A
    Andersen, HC
    Tsoi, AC
    [J]. IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 1996, 26 (02): : 332 - 340
  • [10] Probabilistic reasoning in fuzzy rule-based systems
    van den Berg, J
    Kaymak, U
    van den Bergh, WM
    [J]. SOFT METHODS IN PROBABILITY, STATISTICS AND DATA ANALYSIS, 2002, : 189 - 196