A Simulation Study on Fuzzy Markov Chains

被引：0
|
作者：
Garcia, Juan C. Figueroa [1 ]
Kalenatic, Dusko [2 ,3 ]
Bello, Cesar Amilear Lopez [1 ,3 ]
机构：
[1] Univ Distrital Francisco Jose Caldas, Bogota, Colombia
[2] Univ Catolica Colombia, Bogota, Colombia
[3] Univ Sabana, Chia, Colombia
来源：
ADVANCED INTELLIGENT COMPUTING THEORIES AND APPLICATIONS, PROCEEDINGS: WITH ASPECTS OF CONTEMPORARY INTELLIGENT COMPUTING TECHNIQUES | 2008年 / 15卷
关键词：
D O I：
暂无
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 presents a simulation study on Fuzzy Markov chains to identify some characteristics about their behavior, based on matrix analysis. Through experimental evidence it is observed that most of fuzzy Markov chains does not have an ergodic behavior. So, several sizes of Markov chains are simulated and some statistics are collected. Two methods for obtaining the Stationary Distribution of a Markov chain are implemented: The Greatest Eigen Fuzzy Set and the Powers of a Fuzzy Matrix. Some convergence theorems and two new definitions for ergodic fuzzy Markov chains are presented and discussed allowing to view this fuzzy stochastic process with more clarity.
引用
收藏
页码：109 / +
页数：3
相关论文
共 50 条
  • [41] Modeling and Simulation of Renewable Energy Sources by Markov Chains
    Araujo M.A.S.G.
    Melo G.A.
    Ferreira S.C.A.
    Souza R.C.
    Oliveira F.L.C.
    Louro P.M.M.
    Renewable Energy and Power Quality Journal, 2022, 20 : 464 - 469
  • [42] Interval Continuous-Time Markov Chains Simulation
    Galdino, Sergio
    2013 INTERNATIONAL CONFERENCE ON FUZZY THEORY AND ITS APPLICATIONS (IFUZZY 2013), 2013, : 273 - 278
  • [43] Simulation of Markov Processes through Chains with Complex States
    Popov, George
    2018 INTERNATIONAL CONFERENCE ON HIGH TECHNOLOGY FOR SUSTAINABLE DEVELOPMENT (HITECH), 2018,
  • [44] Simulation of Tennis Behaviour Using Finite Markov Chains
    Rothe, F.
    Lames, M.
    IFAC PAPERSONLINE, 2022, 55 (20): : 606 - 611
  • [45] On confidence intervals from simulation of finite Markov chains
    Case Western Reserve Univ, Cleveland, United States
    ZOR, 2 (241-250):
  • [46] Interval Discrete-Time Markov Chains Simulation
    Galdino, Sergio
    2014 INTERNATIONAL CONFERENCE ON FUZZY THEORY AND ITS APPLICATIONS (IFUZZY2014), 2014, : 183 - 188
  • [47] Fast simulation of Markov chains with small transition probabilities
    Juneja, S
    Shahabuddin, P
    MANAGEMENT SCIENCE, 2001, 47 (04) : 547 - 562
  • [48] APPLICATION OF MARKOV CHAINS TO ANALYSIS OF A SIMULATION OF BIRDS FORAGING
    THOMPSON, WA
    VERTINSKY, I
    JOURNAL OF THEORETICAL BIOLOGY, 1975, 53 (02) : 285 - 307
  • [49] On confidence intervals from simulation of finite Markov chains
    Burnetas, AN
    Katehakis, MN
    MATHEMATICAL METHODS OF OPERATIONS RESEARCH, 1997, 46 (02) : 241 - 250
  • [50] On confidence intervals from simulation of finite Markov chains
    Apostolos N. Burnetas
    Michael N. Katehakis
    Mathematical Methods of Operations Research, 1997, 46 : 241 - 250
12345