Vassia Atanassova at 07:42, 21 April 2009

2009-04-21T07:42:08Z

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	* operators, extending a given generalized net (GN) to a fuzzy and [[intuitionistic fuzzy generalized nets\|intuitionistic fuzzy generalized net]]: <math>\mathcal{O}_1, \mathcal{O}_2, \overline{\mathcal{O}_1},..., \overline{\mathcal{O}_5}</math>,		* operators, extending a given generalized net (GN) to a fuzzy and [[intuitionistic fuzzy generalized nets\|intuitionistic fuzzy generalized net]]: <math>\mathcal{O}_1, \mathcal{O}_2, \overline{\mathcal{O}_1},..., \overline{\mathcal{O}_5}</math>,
	* an operator, replacing the firing moment of a given [[transition]] in a given GN with an interval : <math>\mathcal{O}_6</math>,		* an operator, replacing the firing moment of a given [[transition]] in a given GN with an interval : <math>\mathcal{O}_6</math>,
	** and a [[global operators over generalized nets\|global operator]], replacing the firing moments of all transitions in the GN with intervals : <math>\overline{\mathcal{O}_7}</math>,		** and a [[global operators over generalized nets\|global operator]], replacing the firing moments of all transitions in the GN with intervals : <math>\overline{\mathcal{O}_6}</math>,
	** and operators doing the opposite : <math>\mathcal{O}_7, \overline{\mathcal{O}_7}</math>.		** and operators doing the opposite : <math>\mathcal{O}_7, \overline{\mathcal{O}_7}</math>.
	* an operator colouring the tokens and the arcs of a given GN : <math>\overline{\mathcal{O}_8}</math>,		* an operator colouring the tokens and the arcs of a given GN : <math>\overline{\mathcal{O}_8}</math>,

Vassia Atanassova: New page: '''Extending operators over generalized nets''' (not to be confused with the ''expanding'' kind of hierarchical operators) are [[operators ...

2009-04-21T07:31:01Z

New page: '''Extending operators over generalized nets''' (not to be confused with the ''expanding'' kind of hierarchical operators) are [[operators ...

New page

'''Extending operators over generalized nets''' (not to be confused with the ''expanding'' kind of [[hierarchical operators over generalized nets|hierarchical operators]]) are [[operators over generalized nets|operators]] that add supplementary functionality to [[generalized nets]].

The operators have at least one of the following two forms:
* local form : <math>\mathcal{O}_1, \mathcal{O}_2, \mathcal{O}_6, \mathcal{O}_7, \mathcal{O}_{12}, \mathcal{O}_{14}, \mathcal{O}_{16}, \mathcal{O}_{18}</math>
* global form : <math>\overline{\mathcal{O}_1}, ..., \overline{\mathcal{O}_{22}}</math>

The extending operators are:
* operators, extending a given generalized net (GN) to a fuzzy and [[intuitionistic fuzzy generalized nets|intuitionistic fuzzy generalized net]]: <math>\mathcal{O}_1, \mathcal{O}_2, \overline{\mathcal{O}_1},..., \overline{\mathcal{O}_5}</math>,
* an operator, replacing the firing moment of a given [[transition]] in a given GN with an interval : <math>\mathcal{O}_6</math>,
** and a [[global operators over generalized nets|global operator]], replacing the firing moments of all transitions in the GN with intervals : <math>\overline{\mathcal{O}_7}</math>,
** and operators doing the opposite : <math>\mathcal{O}_7, \overline{\mathcal{O}_7}</math>.
* an operator colouring the tokens and the arcs of a given GN : <math>\overline{\mathcal{O}_8}</math>,
** and an operator, doing the opposite : <math>\overline{\mathcal{O}_9}</math>.
* an operator which adds a "memory" component to the structure of a given GN : <math>\overline{\mathcal{O}_{10}}</math>,
** and one removing this component : <math>\overline{\mathcal{O}_{11}}</math>.
* operators transforming a given GN to a GN with optimization components : <math>\mathcal{O}_{12}, \overline{\mathcal{O}_{12}}</math>,
** and an operator that removes such components from the net : <math>\overline{\mathcal{O}_{13}}</math>.
* operators transforming a given GN to a GN with additional clocks : <math>\mathcal{O}_{14}, \overline{\mathcal{O}_{14}}</math>,
** and an operator that removes the existing additional clocks from a GN : <math>\overline{\mathcal{O}_{15}}</math>.
* operators transforming a given GN to a GN with complex transition types : <math>\mathcal{O}_{16}, \overline{\mathcal{O}_{16}}</math>,
** and an operator that removes these components : <math>\overline{\mathcal{O}_{17}}</math>.
* operators transforming a given GN to a GN with transition stop conditions : <math>\mathcal{O}_{18}, \overline{\mathcal{O}_{18}}</math>,
** and one that removes these conditions from the net : <math>\overline{\mathcal{O}_{19}}</math>.
* an operator transforming a given GN to a GN with (global) stop condition : <math>\overline{\mathcal{O}_{20}}</math>,
** and one that removes this conditions from the net : <math>\overline{\mathcal{O}_{21}}</math>.
* an operator that transforms a given GN to a two-way generalized net : <math>\overline{\mathcal{O}_{22}}</math>.

== References ==
* [[On Generalized Nets Theory]], [[Krassimir Atanassov]], Prof. Marin Drinov Academic Publishing House, Sofia, 2007, p. 137

[[Category:Generalized nets]]

Extending operators over generalized nets - Revision history

Vassia Atanassova at 07:42, 21 April 2009

Vassia Atanassova: New page: '''Extending operators over generalized nets''' (not to be confused with the ''expanding'' kind of hierarchical operators) are [[operators ...