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首页> 外文OA文献 >From 0,1-Based Logic to Interval Logic (From Known Description of All Possible 0,1-Based Logical Operations to a Description of All Possible Interval-Based Logical Operations)
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From 0,1-Based Logic to Interval Logic (From Known Description of All Possible 0,1-Based Logical Operations to a Description of All Possible Interval-Based Logical Operations)

机译：从基于0,1的逻辑到区间逻辑（从所有可能的基于0,1的逻辑运算的已知描述到所有可能的基于区间的逻辑运算的描述）

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摘要

Since early 1960s, we have a complete description of all possible [0,1]-based logical operations, namely of u22andu22-operations (t-norms) and of u22oru22-operations (t-conorms). In some real-life situations, intervals provide a more adequate way of describing uncertainty, so we need to describe interval-based logical operations. Usually, researchers followed a pragmatic path and simply derived these operations from the [0,1]-based ones. From the foundational viewpoint, it is desirable not to a priori restrict ourselves to such derivative operations but, instead, to get a description of all interval-based operations which satisfy reasonable properties.Such description is presented in this paper. It turns out that all such operations can be described as the result of applying interval computations to the corresponding [0,1]-based ones.
机译：自1960年代初以来，我们对所有可能的基于[0,1]的逻辑运算都有完整的描述，即 u22和 u22-运算（t范数）和 u22or u22-运算（t-conorms）。在某些实际情况下，间隔提供了一种更充分的方式来描述不确定性，因此我们需要描述基于间隔的逻辑运算。通常，研究人员遵循务实的道路，仅从基于[0,1]的操作中得出这些操作。从基础的角度来看，最好不要先验地将自己限制在这种导数运算上，而是要获得满足合理性质的所有基于区间的运算的描述。本文提出了这种描述。事实证明，所有这些操作都可以描述为将间隔计算应用于相应的基于[0,1]的运算的结果。

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