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Issue:Connection between generalized nets with characteristics of the places and intuitionistic fuzzy generalized nets of type 1 and type 2

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Title of paper: Connection between generalized nets with characteristics of the places and intuitionistic fuzzy generalized nets of type 1 and type 2
Author(s):
Velin Andonov
Bioinformatics and Mathematical Modelling Department, IBPhBME - Bulgarian Academy of Sciences, Acad. Georgi Bonchev Str., block 105, Sofia 1113, Bulgaria
velin_andonov@yahoo.com
Presented at: 9th International Workshop on Intuitionistic Fuzzy Sets, 8 October 2013, Banská Bystrica, Slovakia
Published in: "Notes on IFS", Volume 19, 2013, Number 2, pages 77-88
Download:  PDF (124  Kb, File info)
Abstract: In Generalized nets with characteristics of the places (GNCP) the places can receive characteristics and keep information about the flow of the tokens in the net. The class of all GNCP ΣCP is a conservative extension of the class of all Generalized nets. In this paper we study the connection between GNCP and the Intuitionistic fuzzy generalized nets of type 1 (IFGN1) and type 2 (IFGN2).

It is proved that the functioning and the result of the work of every GNCP can be represented by IFGN1 and IFGN2. The opposite statement is also proved to be true.

Keywords: Generalized net, Characteristics of places, Intuitionistic fuzzy generalized nets.
AMS Classification: 03E72
References:
  1. Andonov, V., K. Atanassov. Generalized Nets with Characteristics of the Places, Comptes Rendus de l’Academie bulgare des Sciences (in press).
  2. Atanassov, K. Generalized Nets, World Scientific, Singapore, 1991.
  3. Atanassov, K. On Generalized Nets Theory. “Prof. M. Drinov” Academic Publ. House, Sofia, 2007.
  4. Atanassov, K., D. Dimitrov, V. Atanassova. Algorithms for Tokens Transfer in Different Types of Intuitionistic Fuzzy Generalized Nets, Cybernetics and Information Technologies, Vol. 10, 2010, No. 4, 22–35.
  5. Atanassov, K. On Intuitionistic Fuzzy Sets Theory. Springer, Berlin, 2012.
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