Abstract:In this paper, the concepts of (T, S)-vague equivalence relation and dominatment of a pair of t-norm based on t-norm and t-conorm are preposed based on the characteristic which a vague set has truth- membership function and false- membership function. Furthermore, a desired one-to-one correspondence between (T, S)-vague equivalences and (T, S)-vague partitions is presented. The refinement of (T, S)-vague partitions is discussed, leading to the sufficient and necessary condition which the(T*, S*) -refinement of any two (T, S)-vague partitions is again a (T, S)-vague partition.
梁家荣 . Vague等价关系与Vague划分之间的关系研究[J]. 电子与信息学报, 2010, 32(4): 1008-1011 .
Liang Jia-rong. The Research of the Relationship between Vague Equivalence Relations and Vague Partitions. , 2010, 32(4): 1008-1011 .