Study of One Class of Membership Functions of Fuzzy Sets

被引：1
|
作者：
Aida-Zade, K. R. [1 ]
Alieva, N. T. [2 ]
机构：
[1] Azerbaijan State Oil Acad, Pr Azadlyg 20, AZ-1010 Baku, Azerbaijan
[2] Azerbaijan Natl Acad Sci, Inst Informat Technol, AZ-1141 Baku, Azerbaijan
来源：
AUTOMATIC CONTROL AND COMPUTER SCIENCES | 2011年 / 45卷 / 03期
关键词：
membership function; fuzzy numbers; interpolation problem; parametric identification; spine function; effective domain;
D O I：
10.3103/S0146411611030023
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
A class of everywhere smooth membership functions of fuzzy sets based on the idea of spline functions is proposed. Formulas connecting the parameters of the membership functions and the coefficients defining the values of the membership functions are given. The solution of the problem of the membership function interpolation is presented.
引用
收藏
页码：142 / 152
页数：11
相关论文
共 50 条
  • [11] Class of nonlinear filters based on fuzzy membership functions
    Agaian, S
    Sheth, A
    1998 CONFERENCE OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY - NAFIPS, 1998, : 170 - 177
  • [12] Qualitative fuzzy sets revisited: Granulation on the space of membership functions
    Lin, T.Y.
    Tsumoto, Shusaku
    Annual Conference of the North American Fuzzy Information Processing Society - NAFIPS, 2000, : 331 - 337
  • [13] Human Development Index using Membership Functions of Fuzzy Sets
    Abdullah, L.
    Chong, Y. H.
    INTERNATIONAL JOURNAL OF ECOLOGICAL ECONOMICS & STATISTICS, 2016, 37 (04) : 105 - 118
  • [14] Geometrical interpretation and applications of membership functions with fuzzy rough sets
    Chen, Degang
    Kwong, Sam
    He, Qiang
    Wang, Hui
    FUZZY SETS AND SYSTEMS, 2012, 193 : 122 - 135
  • [15] Qualitative fuzzy sets revisited: Granulation on the space of membership functions
    Lin, TY
    Tsumoto, S
    PEACHFUZZ 2000 : 19TH INTERNATIONAL CONFERENCE OF THE NORTH AMERICAN FUZZY INFORMATION PROCESSING SOCIETY - NAFIPS, 2000, : 331 - 337
  • [16] Centroids of Fuzzy Sets When Membership Functions Have Spikes
    Aisbett, Janet
    Rickard, John T.
    PROCEEDINGS OF THE 2013 JOINT IFSA WORLD CONGRESS AND NAFIPS ANNUAL MEETING (IFSA/NAFIPS), 2013, : 97 - 101
  • [17] Obtaining fuzzy membership functions and rule sets in fuzzy expert systems with AHP
    Mason, AK
    Korkmaz, S
    1998 IEEE INTERNATIONAL CONFERENCE ON SYSTEMS, MAN, AND CYBERNETICS, VOLS 1-5, 1998, : 2315 - 2319
  • [18] On a class of fuzzy sets defined by Orlicz functions
    Et, Mikail
    Mursaleen, Mohammad
    Isik, Mahmut
    FILOMAT, 2013, 27 (05) : 789 - 796
  • [19] INTERPRETATION OF MEMBERSHIP FUNCTIONS OF FUZZY SETS IN TERMS OF PLAUSIBILITY AND BELIEF.
    de Feriet, J.Kampe
    1982, : 93 - 98
  • [20] New Negations on the Membership Functions of Type-2 Fuzzy Sets
    Torres-Blanc, Carmen
    Cubillo, Susana
    Hernandez-Varela, Pablo
    IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2019, 27 (07) : 1397 - 1406
12345