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JACIII Vol.17 No.3 pp. 377-385
doi: 10.20965/jaciii.2013.p0377
(2013)

Paper:

Characterization of Multiple-Valued Logic for Dealing with Ambiguity

Noboru Takagi

Department of Intelligent Systems Design Engineering, Toyama Prefectural University, 5180 Kurokawa Imizu-shi, Toyama 939-0398, Japan

Received:
July 30, 2012
Accepted:
February 14, 2013
Published:
May 20, 2013
Keywords:
multiple-valued logic, fuzzy logic, ambiguity, monotone function, hazard detection
Abstract

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.

Cite this article as:
Noboru Takagi, “Characterization of Multiple-Valued Logic for Dealing with Ambiguity,” J. Adv. Comput. Intell. Intell. Inform., Vol.17, No.3, pp. 377-385, 2013.
Data files:
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Last updated on Jul. 31, 2021