单调多值函数的逻辑表达式

Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96) Pub Date : 1996-01-19 DOI:10.1109/ISMVL.1996.508370

K. Nakashima, Y. Nakamura, N. Takagi

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引用次数: 1

摘要

本文给出了多值逻辑函数在真值集合中不存在最大或最小元素的偏序关系下单调的几个基本性质。给出了单调p值函数的两类充要条件，并给出了证明。给出了它们用偏序关系中定义的一元算子的逻辑公式，并给出了这些逻辑公式的简化方法。这些结果包括我们以前关于p值函数单调的关于模糊关系的结果，模糊关系是与最大元素的偏序关系。

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Logic expressions of monotonic multiple-valued functions

This paper presents some fundamental properties of multiple-valued logic functions monotonic with respect to a partial-ordering relation which is introduced in the set of truth values and does not necessarily have the greatest or least element. Two kinds of necessary and sufficient conditions for monotonic p-valued functions are given with the proofs. Their logic formulas using unary operators defined in the partial-ordering relation and a simplification method for those logic formulas are also given. These results include our former results for p-valued functions monotonic with respect to the ambiguity relation which is a partial-ordering relation with the greatest element.

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Proceedings of 26th IEEE International Symposium on Multiple-Valued Logic (ISMVL'96)

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