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Abstract: . This paper studies a fuzzy graph rewriting with single pushout approach from a viewpoint of fuzzy relational calculus. Two possible kinds of matchings for fuzzy graph rewritings are given, namely, a rigorous matching which just generalizes matchings for crisp (or ordinary) graph rewritings, and an "-matching which represents rather ambiguous or fuzzy one. Finally the pullback structure of fuzzy graphs are analyzed for pullback rewritings. 1. Introduction Since the late sixties the algebraic... (Update)
Context of citations to this paper: More
.... of fuzzy difunctional dependency in fuzzy relational databases [OJ96] and a rewriting system of fuzzy graphs by using single pushouts [MoK97] based on a study of Zadeh categories [KFM96] which are introduced in chapter 5. The aim of our research is to develop fuzzy relational...
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BibTeX entry: (Update)
Mori, M. and Kawahara, Y.: Rewriting Fuzzy Graphs, Proceedings of Dagstuhl Seminar on Graph Transformations in Computer Science, to appear in Applied Categorical Structures. http://citeseer.ist.psu.edu/mori97rewriting.html More
@misc{ mori-rewriting,
author = "M. Mori and Y. Kawahara",
title = "Rewriting Fuzzy Graphs",
text = "Mori, M. and Kawahara, Y.: Rewriting Fuzzy Graphs, Proceedings of Dagstuhl
Seminar on Graph Transformations in Computer Science, to appear in Applied
Categorical Structures.",
url = "citeseer.ist.psu.edu/mori97rewriting.html" }
Citations (may not include all citations):79 Graph-Grammars and Their Application to Computer Science (context) - Ehrig, Kreowski et al. - 1991
79 Graph-Grammars and Their Application to Computer Science (context) - Ehrig, Kreowski et al. - 1982
79 Graph-Grammars and Their Application to Computer Science and.. (context) - Claus, Ehrig et al. - 1979
79 Graph-Grammars and Their Application to Computer Science (context) - Ehrig, Nagl et al. - 1987
37 Tutorial introduction to the algebraic approach of graph gra.. (context) - Ehrig, Korff et al. - 1991
16 Graph rewriting in some categories of partial morphisms - Kennaway - 1991
13 Algebraic approach to graph transformation based on single p.. (context) - Lowe, Ehrig - 1991
12 A uniform approach to graph rewriting: the pullback approach - Bauderon - 1995
11 Relational Structures and Their Partial Morphisms in View of.. (context) - Kawahara, Mizoguchi - 1994
9 Transformations of structures: an algebraic approach (context) - Ehrig, Kreowski et al. - 1981
8 On graph rewritings (context) - Raoult - 1984
7 Categorical representation theorems of fuzzy relations - Kawahara, Furusawa et al. - 1995
2 Relational graph rewritings - Mizoguchi, Kawahara - 1995
1 Algebraic graph rewriting using a single pushout (context) - van den Broek - 1991
1 A document retrieval system based on citations using fuzzy g.. (context) - Nomoto, akayama et al. - 1990
1 An algebraic formalization of fuzzy relations Technical Repo.. (context) - Kawahara, Furusawa - 1995
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