论文标题
模糊数字概念和Zadeh的扩展原理的晶格概括
Lattice Generalizations of the Concept of Fuzzy Numbers and Zadeh's Extension Principle
论文作者
论文摘要
当成员函数还以部分有序的集合(晶格)为单位时,更精确地将模糊数字的概念推广到有限的部分订购元素集的情况下,更精确地是晶格。 Zadeh的扩展原理用于确定模糊数字函数的成员资格程度,以纠正此概括。还提出了平均价值概念的类似物。考虑了与专家评估的比较,在认知图中使用部分有序值。
The concept of a fuzzy number is generalized to the case of a finite carrier set of partially ordered elements, more precisely, a lattice, when a membership function also takes values in a partially ordered set (a lattice). Zadeh's extension principle for determining the degree of membership of a function of fuzzy numbers is corrected for this generalization. An analogue of the concept of mean value is also suggested. The use of partially ordered values in cognitive maps with comparison of expert assessments is considered.