Fundamental Properties of Multiple-Valued Logic Functions Monotonic with Respect to Ambiguity (Special Issue on Multiple-Valued Logic)

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概要

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• The paper considers multiple-valued logic systems having the property that the ambiguity of the system increases as the ambiguity of each component increases. The partial-ordering relation with respect to ambiguity with the greatest element 1 / 2 and minimal elements 0, 1 or simply the ambiguity relation is introduced in the set of truth values V={0, / (p-1),…,1 / 2,…,(p-2) / (p-1),1}. A-monotonic p-valued logic functions are defined as p-valued logic functions monotonic with respect to the ambiguity relation. A necessary and sufficient condition for A-monotonic p-valued logic functions is presented along with the proofs, and their logic formulae using unary operators defined in the ambiguity relation are given. Some discussions on the extension of theories to other partial-ordering relations are also given.

• 社団法人電子情報通信学会の論文
• 1993-05-25

著者

• Takagi Noboru

  Faculty Of Engineering Toyama Prefectural University

• Nakashima Kyoichi

  Faculty of Engineering, Toyama Prefectural University

• Nakashima Kyoichi

  Faculty Of Engineering Toyama Prefectural University

関連論文

• Some Properties and a Necessary and Sufficient Condition for Extended Kleene-Stone Logic Functions (Special Issue on Multiple-Valued Logic)
• Some Properties of Kleene-Stone Logic Functions and Their Canonical Disjunctive Form
• Fundamental Properties of Multiple-Valued Logic Functions Monotonic with Respect to Ambiguity (Special Issue on Multiple-Valued Logic)
• A Characterization of Kleene-Stone Logic Functions
• Optimal Redundancy of Systems for Minimizing the Probability of Dangerous Errors (Special Section on Reliability)

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