在现实世界中存在着大量的模糊事物,所谓模糊事物是指和模糊性概念相联系的事物,其特点是外延不分明。例如,医学中的“发高烧”,气象中的“连阴雨”,工程中的“大型工程”等等,这里高与低,阴与晴,大与小都是外延不分明的模糊性概念,随着科学技术的发展,需要人们利用计算机来处理这类模糊事物。因此,寻求处理模糊事物的合适的数学工具很自然被提到日程上来了。早在1937年,M.Black对模糊性曾作过逻辑方面的讨论,1951年K.Menger在“法国科学院报 In the real world, there are a large number of fuzzy things. The so-called fuzzy things refer to things that are related to the concept of ambiguity, which is characterized by unclear epitaxy. For example, “high fever” in medicine, “heavy rain” in meteorology, “large-scale project” in a project, etc. Here high and low, overcast and clear, large and small are concepts of ambiguity with indefinite epitaxy. The development of science and technology requires people to use computers to deal with such ambiguities. Therefore, the right mathematical tool for dealing with vague things naturally comes up to the agenda. As early as 1937, M. Black had a logical discussion of ambiguity. In 1951 K. Menger wrote in the "French Academy of Sciences