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Operators over intuitionistic fuzzy sets: Difference between revisions
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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<ref>[[Krassimir Atanassov|Atanassov, K.]], ''More on intuitionistic fuzzy sets'', Fuzzy Sets and Systems, 33, 1989, No. 1, 37-46</ref>. | 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<ref>[[Krassimir Atanassov|Atanassov, K.]], ''More on intuitionistic fuzzy sets'', Fuzzy Sets and Systems, 33, 1989, No. 1, 37-46</ref>. | ||
== Modal type operators == | == Modal type operators == | ||
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== Topological operators == | == Topological operators == | ||
=== Closure and interior === | === Closure and interior === | ||
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== References == | == References == | ||
<references /> | <references /> | ||
== See also == | |||
* [http://upcommons.upc.edu/revistes/bitstream/2099/3593/1/vol8-1-Atanasov.pdf A theorem for basis operators over intuitionistic fuzzy sets], Krassimir Atanassov, 2001 | |||
* [http://upcommons.upc.edu/revistes/bitstream/2099/3594/1/6-atanasov.pdf On four intuitionistic fuzzy topological operators], Krassimir Atanassov, 2001 | |||
[[Category:Intuitionistic fuzzy sets]] | [[Category:Intuitionistic fuzzy sets]] | ||
{{stub}} | {{stub}} | ||
Latest revision as of 23:48, 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
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
See also
- A theorem for basis operators over intuitionistic fuzzy sets, Krassimir Atanassov, 2001
- On four intuitionistic fuzzy topological operators, Krassimir Atanassov, 2001
