CATEGORICAL APPROACH TO THE CONSTRUCTION OF FUZZY GRAPH GRAMMARS

I. N. Parasyuk; S. V. Yershov

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CATEGORICAL APPROACH TO THE CONSTRUCTION OF FUZZY GRAPH GRAMMARS

机译：构建模糊图形语法的方法

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The categorical approach is proposed to the formalization of fuzzy graph grammars obtained as a result of generalization of sequential graph grammars. This approach takes into consideration the basic types of fuzziness that arise in constructing categories of fuzzy objects and describing transformations of fuzzy graphs generated by fuzzy sets. All the problems of undecidability that are well known for Chomsky grammars are proved to hold true for fuzzy graph grammars.

机译：提出了一种分类方法，用于对由于顺序图文法的推广而获得的模糊图文法的形式化。这种方法考虑了在构造模糊对象的类别和描述由模糊集生成的模糊图的转换时出现的模糊性的基本类型。证明了乔姆斯基语法众所周知的所有不确定性问题都适用于模糊图语法。

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来源
《Cybernetics and Systems Analysis》 |2006年第4期|p.570-581|共12页
作者
I. N. Parasyuk; S. V. Yershov;
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作者单位

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收录信息美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类自动化技术、计算机技术;
关键词
theory of categories; fuzzy sets; fuzzy graphs; architecture controlled by models; graph grammars;

机译：类别论;模糊集;模糊图;模型控制的体系结构;图语法;

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1. Eckhoff, Hanne Martine: Old Russian possessive constructions. A construction grammar approach (Trends in Linguistics. Studies and Monographs, 237) [J] . Barbara Sonnenhauser Russian Linguistics . 2012,第3期

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机译：构造模糊语言的最小实现和mono半群：一种分类方法
3. TRANSFORMATIONS OF FUZZY GRAPHS SPECIFIED BY FD-GRAMMARS [J] . I. N. Parasyuk, S. V. Ershov Cybernetics and Systems Analysis . 2007,第2期

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4. A relational approach of fuzzy graph grammars [C] . Alex Bertei, Luciana Foss, Simone Costa, International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery . 2017

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5. An Empirical Investigation of the Demographics of Top Management Team (TMT) and its Influence in Forecasting Organizational Outcome in International Architecture, Engineering and Construction (AEC) Firms: A Fuzzy Set Approach [D] . Alhosani, Yousif. 2017

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6. An approach to multiscale modelling with graph grammars [O] . Yongzhi Ong, Katarína Streit, Michael Henke, 2014

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7. A Note on Outward and Inward Productions in the Categorical Graph-Grammar Approach and Δ-Grammars [O] . Schneider H.J. 1995

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8. Construction of Normative Decision Models Using Abstract Graph Grammars [R] . Egar, J. W. 1994

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CATEGORICAL APPROACH TO THE CONSTRUCTION OF FUZZY GRAPH GRAMMARS

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