On Categories of Fuzzy Petri Nets
We introduce the concepts of fuzzy Petri nets and marked fuzzy Petri nets along with their appropriate morphisms, which leads to two categories of such Petri nets. Some aspects of the internal structures of these categories are then explored, for example, their reflectiveness/coreflectiveness and sy...
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Format: | Article |
Language: | English |
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Wiley
2011-01-01
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Series: | Advances in Fuzzy Systems |
Online Access: | http://dx.doi.org/10.1155/2011/812040 |
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author | Arun K. Srivastava S. P. Tiwari |
author_facet | Arun K. Srivastava S. P. Tiwari |
author_sort | Arun K. Srivastava |
collection | DOAJ |
description | We introduce the concepts of fuzzy Petri nets and marked fuzzy Petri nets along with their appropriate morphisms, which leads to two categories of such Petri nets. Some aspects of the internal structures of these categories are then explored, for example, their reflectiveness/coreflectiveness and symmetrical monoidal closed structure. |
format | Article |
id | doaj-art-7e4cbcd1b2384ed08aea8157565133fb |
institution | Kabale University |
issn | 1687-7101 1687-711X |
language | English |
publishDate | 2011-01-01 |
publisher | Wiley |
record_format | Article |
series | Advances in Fuzzy Systems |
spelling | doaj-art-7e4cbcd1b2384ed08aea8157565133fb2025-02-03T05:50:32ZengWileyAdvances in Fuzzy Systems1687-71011687-711X2011-01-01201110.1155/2011/812040812040On Categories of Fuzzy Petri NetsArun K. Srivastava0S. P. Tiwari1Department of Mathematics and Center for Interdisciplinary Mathematical Sciences, Faculty of Science, Banaras Hindu University, Varanasi 221 005, IndiaDepartment of Mathematics, Indian School of Mines, Dhanbad 826004, IndiaWe introduce the concepts of fuzzy Petri nets and marked fuzzy Petri nets along with their appropriate morphisms, which leads to two categories of such Petri nets. Some aspects of the internal structures of these categories are then explored, for example, their reflectiveness/coreflectiveness and symmetrical monoidal closed structure.http://dx.doi.org/10.1155/2011/812040 |
spellingShingle | Arun K. Srivastava S. P. Tiwari On Categories of Fuzzy Petri Nets Advances in Fuzzy Systems |
title | On Categories of Fuzzy Petri Nets |
title_full | On Categories of Fuzzy Petri Nets |
title_fullStr | On Categories of Fuzzy Petri Nets |
title_full_unstemmed | On Categories of Fuzzy Petri Nets |
title_short | On Categories of Fuzzy Petri Nets |
title_sort | on categories of fuzzy petri nets |
url | http://dx.doi.org/10.1155/2011/812040 |
work_keys_str_mv | AT arunksrivastava oncategoriesoffuzzypetrinets AT sptiwari oncategoriesoffuzzypetrinets |