Method for Solving a System of Fuzzy Equations Based on Metric and Allowable Uncertainty
System of fuzzy equations is a widespread problem in many applied fields such as resource management, production planning, optimization decision and artificial intelligence, in which, establishing general and operable solving methods has received a remarkable attention in academic circles. In this paper, using the structure feature of fuzzy number, we propose the concept of level effect function which can describe fuzziness consciousness, and establish a broad operable fuzzy metric based on level effect function; on the basis of essential characteristic of fuzzy decision, establish solution model based on metric and uncertainty restriction for system of fuzzy equations (denoted by M(田)UFESM, for short); combining genetic algorithm and variance description strategy of principle index of fuzzy variable, give solution method based on genetic algorithm (denoted by PO-FGA, for short); finally, consider its convergence using Markov chain theory and analyze its performance through simulation.
System of fuzzy equations Fuzzy metric Uncertainty Principal operation Genetic algorithm
Chenxia Jin Zhanjing Wang Fachao Li
School of Science Hebei University of Science and Technology Shijiazhuang, Hebei Province, 050018, C School of Mathematics and Statistics Hebei University of Economics and Business Shijiazhuang, Hebei School of Economy and Management Hebei University of Science and Technology Shijiazhuang, Hebei Prov
国际会议
2007 IEEE International Conference on Automation and Lofistics
山东济南
英文
2007-08-18（万方平台首次上网日期，不代表论文的发表时间）