**16-17 May 2019 • Sofia, Bulgaria**

**Submission:**21 February 2019 •

**Notification:**11 March 2019 •

**Final Version:**1 April 2019

# Extending operators over generalized nets

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

The operators have at least one of the following two forms:

- local form :
- global form :

The extending operators are:

- operators, extending a given generalized net (GN) to a fuzzy and intuitionistic fuzzy generalized net: ,
- an operator, replacing the firing moment of a given transition in a given GN with an interval : ,
- and a global operator, replacing the firing moments of all transitions in the GN with intervals : ,
- and operators doing the opposite : .

- an operator colouring the tokens and the arcs of a given GN : ,
- and an operator, doing the opposite : .

- an operator which adds a "memory" component to the structure of a given GN : ,
- and one removing this component : .

- operators transforming a given GN to a GN with optimization components : ,
- and an operator that removes such components from the net : .

- operators transforming a given GN to a GN with additional clocks : ,
- and an operator that removes the existing additional clocks from a GN : .

- operators transforming a given GN to a GN with complex transition types : ,
- and an operator that removes these components : .

- operators transforming a given GN to a GN with transition stop conditions : ,
- and one that removes these conditions from the net : .

- an operator transforming a given GN to a GN with (global) stop condition : ,
- and one that removes this conditions from the net : .

- an operator that transforms a given GN to a two-way generalized net : .

## References

- On Generalized Nets Theory, Krassimir Atanassov, Prof. Marin Drinov Academic Publishing House, Sofia, 2007, p. 137