摘要翻译:
受Zadeh用文字而不是数字计算范式的推动,最近提出了几种用文字计算的形式化模型。这些模型基于自动机,因此不适用于并发计算。本文将著名的并发计算模型Petri网与模糊集理论相结合,建立了一个字计算的并发模型--字计算模糊Petri网(FPNCWs)。这种模糊Petri网的新特点是转换的标记是一些用模糊集建模的特殊词。利用模糊推理的方法,给出了FPNCW的一个忠实扩展,使其具有更多字的计算能力。比较了两种形式化的文字计算模型&模糊自动机文字计算模型和FPNCWs语言表达能力。提供了几个小例子来说明理论的发展。
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英文标题:
《A Fuzzy Petri Nets Model for Computing With Words》
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作者:
Yongzhi Cao and Guoqing Chen
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最新提交年份:
2009
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分类信息:
一级分类:Computer Science 计算机科学
二级分类:Artificial Intelligence
人工智能
分类描述:Covers all areas of AI except Vision, Robotics, Machine Learning, Multiagent Systems, and Computation and Language (Natural Language Processing), which have separate subject areas. In particular, includes Expert Systems, Theorem Proving (although this may overlap with Logic in Computer Science), Knowledge Representation, Planning, and Uncertainty in AI. Roughly includes material in ACM Subject Classes I.2.0, I.2.1, I.2.3, I.2.4, I.2.8, and I.2.11.
涵盖了人工智能的所有领域,除了视觉、机器人、机器学习、多智能体系统以及计算和语言(自然语言处理),这些领域有独立的学科领域。特别地,包括专家系统,定理证明(尽管这可能与计算机科学中的逻辑重叠),知识表示,规划,和人工智能中的不确定性。大致包括ACM学科类I.2.0、I.2.1、I.2.3、I.2.4、I.2.8和I.2.11中的材料。
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英文摘要:
Motivated by Zadeh's paradigm of computing with words rather than numbers, several formal models of computing with words have recently been proposed. These models are based on automata and thus are not well-suited for concurrent computing. In this paper, we incorporate the well-known model of concurrent computing, Petri nets, together with fuzzy set theory and thereby establish a concurrency model of computing with words--fuzzy Petri nets for computing with words (FPNCWs). The new feature of such fuzzy Petri nets is that the labels of transitions are some special words modeled by fuzzy sets. By employing the methodology of fuzzy reasoning, we give a faithful extension of an FPNCW which makes it possible for computing with more words. The language expressiveness of the two formal models of computing with words, fuzzy automata for computing with words and FPNCWs, is compared as well. A few small examples are provided to illustrate the theoretical development.
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PDF链接:
https://arxiv.org/pdf/0910.3485