CAJ | 학술논문

从模糊信息的结构特征和模糊决策的本质特征出发，提出了拟线性模糊数的概念，讨论了拟线性模糊数的运算特征和逼近性质，建立了基于度量和不确定性限制的模糊方程组的求解模型（简记为FESM—M＋U）；进而以拟线性模糊数和主成分操作策略为基础，给出了一类遗传算法（简记为FGA—QL＋PO）；最后，结合Markov链理论和具体实例，从不同的层面分析了FGA-QL＋PO的收敛性能．结果表明，FGA—QL＋PO不仅可以有效地处理决策意识，而且具有良好的全局收敛稳定性，适应于各种形式的模糊方程组，具有广泛的应用前景．
종모호신식적결구특정화모호결책적본질특정출발，제출료의선성모호수적개념，토론료의선성모호수적운산특정화핍근성질，건립료기우도량화불학정성한제적모호방정조적구해모형（간기위FESM—M＋U）；진이이의선성모호수화주성분조작책략위기출，급출료일류유전산법（간기위FGA—QL＋PO）；최후，결합Markov련이론화구체실례，종불동적층면분석료FGA-QL＋PO적수렴성능．결과표명，FGA—QL＋PO불부가이유효지처리결책의식，이차구유량호적전국수렴은정성，괄응우각충형식적모호방정조，구유엄범적응용전경．
System of fuzzy equations is a widespread problem in many applied fields such as production planning, resource management, optimization decision etc., and the variation description of fuzzy variables is the bottleneck problem of realizing solution operation. Starting from the structure feature of fuzzy information and the essential characteristic of fuzzy decision, this paper proposes the concept of quasi-linear fuzzy number, and discusses its operational characteristics and approximation properties, and establishes solution model based on metric and uncertainty restriction for system of fuzzy equations（denoted by FESM- M＋U, for short）; further, on the basis of quasi-linear fuzzy number and principal operation strategy, gives a genetic algorithm named by FGA-QL＋PO; finally, considers its convergence using Markov chain theory and analyzes its performance through an example. All these indicate that, FGA-QL＋PO can not only effectively reflect decision consciousness, but has good global convergence, and be suitable for all systems of fuzzy equations, so it can be widely used in many problems.