Some Properties of Kleene-Stone Logic Functions and Their Canonical Disjunctive Form

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概要

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• In this paper, we will define Kleene-Stone logic functions which are functions F: [0, 1]^n→[0, 1] including the intuitionistic negation ¬ into fuzzy logic functions, and they can easily represent the concepts of necessity and possibility which are important concepts of many-valued logic systems. A set of Kleene-Stone logic functions is one of the models of Kleene-Stone algebra, which is both Kleene algebra and Stone algebra, as same as a set of fuzzy logic functions is one of the models of Kleene algebra. This paper, especially, describes some algebraic properties and representation of Kleene-Stone logic functions.

• 社団法人電子情報通信学会の論文
• 1993-02-25

著者

• Mukaidono Masao

  School Of Science And Technology Meiji University

• Takagi N

  Toyama Prefectural Univ. Toyama‐shi Jpn

• Takagi Noboru

  Faculty Of Engineering Toyama Prefectural University

関連論文

• A Necessary and Sufficient Condition for Kleenean Functions
• 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
• Chaotic Responses in a Self-Recurrent Fuzzy Inference with Nonlinear Rules (Special Section on Nonlinear Theory and Its Applications)

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