基于直觉模糊决策算法的排课系统选择研究

Research on Selection of Course Arranging System Based on Intuitionistic Fuzzy Decision Making Algorithm

针对属性信息为直觉模糊数且属性信息之间存在相互关系的排课系统选择问题,构建了一种基于广义直觉模糊加权Heronian几何(GIFWHG)算子的直觉模糊多属性决策算法。该算法首先基于Archimedean范数和Heronian平均,提出了广义直觉模糊Heronian几何(GIFHG)算子,并探讨了GIFHG算子的基本性质和几种常见形式,同时引入GIFWHG算子,最后构建了新的直觉模糊多属性决策算法,通过自动排课系统的选择实例验证了该算法的可行性和有效性。

When attribute values are in the form of intuit ionist ic fuzzy numbers and at tribute informat ion is associat-ed with each other^ an intuitionistic fuzzy MADM algorithm is developed for selection of course arranging system, on the basis of the generalized intuitionistic fuzzy weighted Heronian geometric （GIFWHG） operator. Based on the Archimedean norm and Heronian mean, the generalized intuitionistic fuzzy Heronian geometric （ GIFHG） operator is proposed, and then the properties and some special cases of the GIFHG operator are discussed. In addition, the GIFWHG operator is introduced. Finally, a novel intuitionistic fuzzy MADM algorithm is invest igated, and appl ied to select auto - arranging course system to demonstrate the developed algorithm＇s rational ity and effectiveness.