We proposed so-called AFHR (adaptable fuzzy hyper-resolution principle) that can manipulate uncertain knowledge and tune the range of resolution. The AFHR can make a rangable resolution to execute an efficient resolution and can represent linguistic truth values. In this paper, we introduce new concepts of law of contrary, meaningless range level for truth values and strict degree of adaptable resolution. We show that the differences of AFHR and existing fuzzy resolution. Finally we prove completeness of AFHR.
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