论文部分内容阅读
直觉模糊数及其在模糊多属性决策问题中的应用吸引了众多学者的注意,而将直觉模糊数进一步拓展为广义直觉模糊数也有一些文章涉及.然而,基于区间值直觉模糊数的延伸却较少有文献研究,本文结合广义直觉模糊数与区间值模糊数的定义、性质,提出了广义区间值直觉模糊数的概念.为服务于模糊多属性决策问题,进一步引入了基于广义区间值直觉模糊数的加、减和数乘运算规则,并证明了其在定义域上具有封闭性.由此给出针对广义区间值直觉模糊数的三条排序准则.最后将广义区间值直觉模糊数的概念应用于生产线人工工位的绩效评估案例中,从而验证了本文提出方法的有效性和实用性.
Intuitionistic fuzzy numbers and their applications in fuzzy multi-attribute decision-making have attracted the attention of many scholars, but there are also some articles about the further expansion of intuitionistic fuzzy numbers into generalized intuitionistic fuzzy numbers.However, the extension of intuitionistic fuzzy numbers based on interval values is more Few literature studies, this paper combines the generalized intuitionistic fuzzy number and the definition and properties of interval valued fuzzy numbers, and puts forward the concept of generalized interval valued intuitionistic fuzzy numbers.In order to serve the fuzzy multi-attribute decision making problems, we further introduce the generalized interval valued intuitionistic fuzzy The addition, subtraction and multiplication of numbers, and proved that it has the closedness in the domain.According to this, three ordering criteria for generalized interval valued intuitionistic fuzzy numbers are given.Finally, the concept of generalized interval valued intuitionistic fuzzy numbers In the production line artificial station performance evaluation case, thus verifying the effectiveness and practicability of the proposed method.