广义区间值直觉模糊数及其在工位评估中的应用

Generalized interval-valued intuitionistic fuzzy numbers with applications in workstation assessment

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.

Much attention has been drawn to the concepts of intuitionistic fuzzy number and its applica- tions in fuzzy multi-attribute decision making problems, some of the scholars also extend the intuitionistic fuzzy number to generalized intuitionistic fuzzy number. However, very little research has been completed on the extension of traditional interval-valued intuitionistic fuzzy numbers. Therefore, in this paper, the definitions of generalized interval-valued intuitionistic fuzzy number are proposed, based on the concepts and properties of intuitionistic fuzzy numbers and interval-valued fuzzy numbers. In order to help solve the fuzzy multi-attribute decision making problems, the arithmetic rules on the set of generalized interval- valued intuitionistic fuzzy numbers are further introduced, and the closeness of the operators in the domain of definition is proven. Then three ranking principles are proposed so as to implement the aforementioned arithmetical methods into the numerical example of workstation assessment, which demonstrates the va- lidity of the proposed approach.