A Genetic Algorithm Approach for Solving Fuzzy Linear and Quadratic Equations

被引:0
|
作者
Mashinchi, M. Hadi [1 ]
Mashinchi, M. Reza [1 ]
Shamsuddin, Siti Mariyam H. J. [1 ]
机构
[1] Univ Teknol Malaysia, Fac Comp Sci & Informat Syst, Dept Multimedia & Comp Graph, Johor Baharu, Malaysia
关键词
Fuzzy coefficient; fuzzy equation; genetic algorithms;
D O I
暂无
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
Iin this paper a genetic algorithms approach for solving the linear and quadratic fuzzy equations (Ax) over tilde = (B) over tilde and (Ax) over tilde (2) + (Bx) over tilde = (C) over tilde, where (A) over tilde, and (B) over tilde, (C) over tilde and (x) over tilde are fuzzy numbers is proposed by genetic algorithms. Our genetic based method initially starts with a set of random fuzzy solutions. Then in each generation of genetic algorithms, the solution candidates converge more to better fuzzy solution (x) over tilde (b). in this proposed method the final reached (x) over tilde (b) is not only restricted to fuzzy triangular and it can be fuzzy number.
引用
收藏
页码:242 / 246
页数:5
相关论文
共 50 条
  • [21] Solving fuzzy complex system of linear equations
    Behera, Diptiranjan
    Chakraverty, S.
    INFORMATION SCIENCES, 2014, 277 : 154 - 162
  • [22] A GMRES Method for Solving Fuzzy Linear Equations
    Zhou, Jieyong
    Wei, Hui
    INTERNATIONAL JOURNAL OF FUZZY SYSTEMS, 2014, 16 (02) : 270 - 276
  • [23] Hybridization of Grasshopper Optimization Algorithm With Genetic Algorithm for Solving System of Non-Linear Equations
    El-Shorbagy, M. A.
    El-Refaey, Adel M.
    IEEE ACCESS, 2020, 8 : 220944 - 220961
  • [24] Genetic algorithm based on simplex method for solving linear-quadratic bilevel programming problem
    Wang, Guangmin
    Wan, Zhongping
    Wang, Xianjia
    Lv, Yibing
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2550 - 2555
  • [25] Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
    Chen, Yuxin
    Candes, Emmanuel J.
    COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2017, 70 (05) : 822 - 883
  • [26] Solving Random Quadratic Systems of Equations Is Nearly as Easy as Solving Linear Systems
    Chen, Yuxin
    Candes, Emmanuel J.
    ADVANCES IN NEURAL INFORMATION PROCESSING SYSTEMS 28 (NIPS 2015), 2015, 28
  • [27] Genetic Algorithm for Solving Quadratic Bilevel Programming Problem
    WANG Guangmin1
    2. School of Mathematics and Statistics
    3. School of Economics and Management
    WuhanUniversityJournalofNaturalSciences, 2007, (03) : 421 - 425
  • [28] Parametric approach for solving quadratic fractional optimization with a linear and a quadratic constraint
    Salahi, Maziar
    Fallahi, Saeed
    COMPUTATIONAL & APPLIED MATHEMATICS, 2016, 35 (02): : 439 - 446
  • [29] Parametric approach for solving quadratic fractional optimization with a linear and a quadratic constraint
    Maziar Salahi
    Saeed Fallahi
    Computational and Applied Mathematics, 2016, 35 : 439 - 446
  • [30] ON AN ALGORITHM FOR SOLVING FUZZY LINEAR-SYSTEMS
    LI, JX
    FUZZY SETS AND SYSTEMS, 1994, 61 (03) : 369 - 371