Operators over intuitionistic fuzzy sets

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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 D_α

Operator F_α,β

Operator G_α,β

Operators H_α,β , H_α,β* , J_α,β and J_α,β*

Operator X_a,b,c,d,e,f

Topological operators

Closure and interior

Level operators

Operators ! and ?

Operators P_α,β and Q_α,β

References

↑ Atanassov, K., More on intuitionistic fuzzy sets, Fuzzy Sets and Systems, 33, 1989, No. 1, 37-46

Operators over intuitionistic fuzzy sets

Contents

Modal type operators

Necessity and possibility

Operator D_α

Operator F_α,β

Operator G_α,β

Operators H_α,β , H_α,β* , J_α,β and J_α,β*

Operator X_a,b,c,d,e,f

Topological operators

Closure and interior

Level operators

Operators ! and ?

Operators P_α,β and Q_α,β

References

See also

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Operators over intuitionistic fuzzy sets

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

See also

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Operator D_α

Operator F_α,β

Operator G_α,β

Operators H_α,β , H_α,β* , J_α,β and J_α,β*

Operator X_a,b,c,d,e,f

Operators P_α,β and Q_α,β