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arXiv 2108.04760cs.AI
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多值认知图:不使用数字的语言变量计算

Multi-Valued Cognitive Maps: Calculations with Linguistic Variables without Using Numbers

Trapeznikov Institute of Control Science Russian Academy of Sciences(俄罗斯科学院特拉佩兹尼科夫控制科学研究所)

Dmitry Maximov

摘要:

本文提出了多值认知图的概念。这个概念是对模糊概念的扩展。然而,所有变量和权重在概念中不是线性排序的,而是部分排序的。这种方法允许我们直接在具有偏序语言变量的认知地图中操作,而无需模糊化/去模糊化方法。因此,我们可以考虑专家不确定性程度的更微妙的差异,而不是在模糊的情况下。我们证明了这种认知地图的收敛性,并给出了一个简单的计算例子,证明了使用这样的偏序不确定度尺度。

英文摘要:

A concept of multi-valued cognitive maps is introduced in this paper. The concept expands the fuzzy one. However, all variables and weights are not linearly ordered in the concept, but are only partially-ordered. Such an ap- proach allows us to operate in cognitive maps with partially-ordered linguis- tic variables directly, without vague fuzzification/defuzzification methods. Hence, we may consider more subtle differences in degrees of experts' uncer- tainty, than in the fuzzy case. We prove the convergence of such cognitive maps and give a simple computational example which demonstrates using such a partially-ordered uncertainty degree scale.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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