Characterization of Multiple-Valued Logic for Dealing with Ambiguity
Department of Intelligent Systems Design Engineering, Toyama Prefectural University, 5180 Kurokawa Imizu-shi, Toyama 939-0398, Japan
This paper focuses on r-valued functions monotonic in a partial order relation, which can be interpreted as a relation expressing something about ambiguity. First, necessary and sufficient conditions for an r-valued function to be monotonic in the relation are clarified. After that, minimal and maximal information loss functions are defined as a special part of r-valued functions monotonic in the relation. We describe a practical application of minimal information loss functions that correct input failures in multiple-valued logic circuits.
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