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一、模糊顺序关系: 将一群研究对象按预定标准,作优劣排序。这问题抽象到经典数学中,就是要求建立一种序关系。而序关系的主要特征之一,是满足传递律。但遇到多因素作用的问题,或优劣标准本身就是个模糊概念时,往往出现循环现象。如比较甲、乙、丙三人的工作能力,很可能甲强于乙,乙强于丙,而丙又强于甲。又例如,要在某年级的10名“德智体全面发展的三好学生”中再按一定标准排出优劣次序,以供进一步选择。这一类排序问题,对于通常
First, the fuzzy order relationship: a group of research subjects according to predetermined criteria, for the advantages and disadvantages of sorting. This problem is abstract to classical mathematics, is to ask for the establishment of a kind of order relationship. One of the main features of the order relationship is to satisfy the transfer law. However, problems encountered by many factors, or the pros and cons of the standard itself is a fuzzy concept, the phenomenon of circulation often appears. As a comparison of A, B, C triptych ability, it is likely that a stronger than B, B stronger than C, and C is stronger than A. For another example, according to certain criteria, the order of pros and cons should be further re-selected in the 10 “Three Good Students with All-round Moral and Physical Development”. This sort of problem, for the usual