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The Research of the Relationship between Vague Equivalence Relations and Vague Partitions |
Liang Jia-rong |
School of Computer and Electronic, Guangxi University, Nanning 530004, China |
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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.
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Received: 23 March 2009
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Corresponding Authors:
Liang Jia-rong
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