Note that if we want to use the intensional equality in our language, then we need the correspondent operator in intensional algebra Aint for the "necessity" modal logic operator a.
logic operators ([conjunction], [logical not], [there exists]), predicate letters in P (functional letters is considered as particular case of predicate letters), variables x, y, z, ...
Afterwards, we present compensatory fuzzy logic operators
IF conditions are composed using the predicates and logic operators
, while THEN statements are commonly predicates indicating the fuzzy attribute that is more appropriate for the output variables involved.
Where [S.sub.i-1,j](t), [S.sub.i-1,j+1](t), [S.sub.i,j+1](t), [S.sub.i+1,j+1](t), [S.sub.i+1,j](t), [S.sub.i+1,j-1](t), [S.sub.i,j-1](t) and [S.sub.i+1,j-1](t) are the states of the neighboring cells of the cell at row i and column j according to Moore-Neighborhood and each of opl, op2, op3, op4, op5, op6, op7 and op8 are one of the four logic operators
AND, OR, XOR and NXOR.
On [D.sup.*], we consider logic operators
as negation, t-norm, t-conorm, implication.
n-ary Fuzzy Logic and Neutrosophic Logic Operators
, "Studies in Logic, Grammar and Rethoric", 17,no.