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Author
Wołoszyn Jan (Akademia Ekonomiczna w Krakowie)
Title
Parametry opisujące lokalną strukturę grafu rozmytego
Parameters Describing Local Structure of Fuzzy Graphs
Source
Zeszyty Naukowe / Akademia Ekonomiczna w Krakowie, 1987, nr 248, s. 111-124, bibliogr. 10 poz
Keyword
Grafy, Zbiory rozmyte
Graphs, Fuzzy sets
Note
rez., summ.
Abstract
W niniejszej pracy przedstawiono rozważania określenia grafu i digrafu rozmytego. Omówiono podstawowe pojęcia dotyczące lokalnej struktury grafu rozmytego.

Problems concerning fuzzy graphs and digraphs as a generalization of graph and digraph notions in fussy sets theory were discussed in the article. Certain parameters describing local structure of fuzzy graph, in particular fuzzy degree of vertex and multiplicity of a pair of vertexes, were described. Notions of fuzzy order and size of fuzzy graph (digraph) were also introduced. Basic properties of defined notions were investigated. (original abstract)
Accessibility
The Main Library of the Cracow University of Economics
The Library of Warsaw School of Economics
The Library of University of Economics in Katowice
The Main Library of Poznań University of Economics and Business
The Main Library of the Wroclaw University of Economics
Bibliography
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  1. Kaufmann A. , Introduction to the theory of fuzzy subsets. Vol. 1: Fundamental theoretical elements, Academic Press, New York 1975.
  2. Wołoszyn J., Uwagi o określaniu mocy zbioru rozmytego, "Kwartalnik Elektrotechnika" 1984, Tom 3, Zeszyt 4, s. 485-498.
  3. Wołoszyn J., Operacje sumy i iloczynu nieujemnych rozmytych liczb całkowitych, "Kwartalnik Elektrotechnika" 1985, Tom 4, Zeszyt 1, s. 93-107.
  4. Wołoszyn J., Odległości w grafach rozmytych, "Kwartalnik Elektrotechnika", 1985, Tom 4, Zeszyt 4, s. 467-477.
  5. Wołoszyn J., Iloczyn rozmytych liczb całkowitych, Zeszyty Naukowe AE, w druku.
  6. Wołoszyn J., Profil zbioru rozmytego, Zeszyty Naukowe AE, w druku.
  7. Yager R.R., Puzzy decision-making including unequal objectives, Fuzzy Sets and Systems 1978, Vol. 1, s. 87-95.
  8. Yeh R.T., Bang S.Y., Fuzzy relations, fuzzy graphs, and their applications to clustering analysis, In: Zadeh L.A., Fu K. S., Tanaka S., Shimura M. (eds.): Fuzzy sets and their applications to cognitive and decision processes. Academic Press, New York 1975.
  9. Zadeh L. A. , Fuzzy sets, Information and Control1965, 8, s. 338-353.
  10. Zimmermann H. J., Zadeh L.A., Gaines B. H. (eds.), Fuzzy sets and decision analysis, North-Holland, Amsterdam 1984.
Cited by
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ISSN
0208-7944
Language
pol
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