Minimum of Fuzzy Numbers with a Fuzzy Set of Operands

被引:5
|
作者
Mashchenko, S. O. [1 ]
机构
[1] Taras Shevchenko Natl Univ Kyiv, Kiev, Ukraine
关键词
fuzzy number; fuzzy set; type-2 fuzzy set; OPERATIONS; MIN; MAX;
D O I
10.1007/s10559-022-00452-3
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
We analyze the operation of minimization with a fuzzy set of the indices of operands for fuzzy numbers. It is shown that the result of this operation is a type-2 fuzzy set, which can be decomposed, by secondary degrees of membership, into a collection of corresponding fuzzy numbers. This decomposition helps to represent the resulting type-2 fuzzy set in a form that is easy to understand and use. An illustrative example is given.
引用
收藏
页码:210 / 219
页数:10
相关论文
共 50 条
  • [1] Minimum of Fuzzy Numbers with a Fuzzy Set of Operands
    S. O. Mashchenko
    [J]. Cybernetics and Systems Analysis, 2022, 58 : 210 - 219
  • [2] Fuzzy Operands of Semigroups
    Pal, Pavel
    Sardar, Sujit Kumar
    Mukherjee, Rajlaxmi
    [J]. FUZZY INFORMATION AND ENGINEERING, 2014, 6 (02) : 235 - 244
  • [3] Sum of Discrete Fuzzy Numbers with Fuzzy Set of Summands
    Mashchenko, S. O.
    [J]. CYBERNETICS AND SYSTEMS ANALYSIS, 2021, 57 (03) : 374 - 382
  • [5] Fuzzy implications defined on the set of discrete fuzzy numbers
    Vicente Riera, Juan
    Torrens, Joan
    [J]. PROCEEDINGS OF THE 7TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-2011) AND LFA-2011, 2011, : 259 - 266
  • [6] Sum of Discrete Fuzzy Numbers with Fuzzy Set of Summands
    S. O. Mashchenko
    [J]. Cybernetics and Systems Analysis, 2021, 57 : 374 - 382
  • [7] Maximum and Minimum of Discrete Fuzzy Numbers
    Casasnovas, Jaume
    Riera, J. Vicente
    [J]. ARTIFICIAL INTELLIGENCE RESEARCH AND DEVELOPMENT, 2007, 163 : 273 - 280
  • [8] Intersections and unions of fuzzy sets of operands
    Mashchenko, S.
    [J]. FUZZY SETS AND SYSTEMS, 2018, 352 : 12 - 25
  • [9] Coimplications in the set of discrete fuzzy numbers
    Vicente Riera, Juan
    Torrens, Joan
    [J]. PROCEEDINGS OF THE 8TH CONFERENCE OF THE EUROPEAN SOCIETY FOR FUZZY LOGIC AND TECHNOLOGY (EUSFLAT-13), 2013, 32 : 207 - 214
  • [10] The Cardinality of the Set of All Fuzzy Numbers
    Wang, Zhenyuan
    Zhang-Westman, Li
    [J]. PROCEEDINGS OF THE 2013 JOINT IFSA WORLD CONGRESS AND NAFIPS ANNUAL MEETING (IFSA/NAFIPS), 2013, : 1045 - 1049