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The fuzzy technique used the fuzzy algebraic product operator, fuzzy algebraic sum operator, and fuzzy gamma operator.
The technique relies on two fixed point theorems of a sum operator.
In [15], the sum operator equation (A x,x +Bx=x) has been considered.
Then they defined the fractional sum operator (nabla^{-alpha}) and the fractional difference operator (nabla^{alpha}).
A strong convergence theorem for zero points of the sum operator is established.
The version of the Calculus of Individuals presented in Leonard's (1930) dissertation used yet another primitive, corresponding to the sum operator defined in (40i) below (with i=3).
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This algorithm uses only integer-based sum operators and avoids floating-point and multiplication operators.
Moreover, some essential lemmas about the commutativity of the different fractional sum operators with the usual difference operators are established.
Because batteries have specific behaviours [47], we cannot model the total node autonomy with basic sum operators.
In applying this version, we come up with some results regarding the oscillating multipliers, partial sum operators and generalized Bessel potentials.
Also, we consider the associated GBS (generalized Boolean sum) operators and estimate the rate of convergence for these operators with the help of a mixed modulus of smoothness.
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