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Operators over intuitionistic fuzzy sets: Difference between revisions
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New page: Different '''operators''' were defined over intuitionistic fuzzy sets throughout the years. In May 1983 the modal operators necessity and possibility were defined. In October 1983... |
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== Topological operators == | == Topological operators == | ||
; References: | |||
* [http://upcommons.upc.edu/revistes/bitstream/2099/3594/1/6-atanasov.pdf On four intuitionistic fuzzy topological operators], Krassimir Atanassov, 2001 | |||
=== Closure and interior === | === Closure and interior === | ||
Revision as of 23:46, 16 March 2011
Different operators were defined over intuitionistic fuzzy sets throughout the years.
In May 1983 the modal operators necessity and possibility were defined. In October 1983 the topological operators closure and interior followed. Later, the relations between the modal and the topological operators were studied and published[1].
Modal type operators
Necessity and possibility
Operator Dα
Operator Fα,β
Operator Gα,β
Operators Hα,β , H*α,β , Jα,β and J*α,β
Operator Xa,b,c,d,e,f
Topological operators
- References
- On four intuitionistic fuzzy topological operators, Krassimir Atanassov, 2001
Closure and interior
Level operators
Operators ! and ?
Operators Pα,β and Qα,β
References
- ↑ Atanassov, K., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33, 1989, No. 1, 37-46
