# algebraic sum

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## algebraic sum

[¦al·jə¦brā·ik ′səm]
(mathematics)
The result of the addition of two or more quantities, with the addition of a negative quantity equivalent to subtraction of the corresponding positive quantity.
For two fuzzy sets A and B, with membership functions mA and mB, that fuzzy set whose membership function mA + B satisfies the equation mA + B (x) = mA (x) + mB (x) - [mA (x) · mB (x)] for every element x.
McGraw-Hill Dictionary of Scientific & Technical Terms, 6E, Copyright © 2003 by The McGraw-Hill Companies, Inc.
References in periodicals archive ?
In the continuous-time or discrete-time domain, the algebra of these transformations is based on the algebraic sum and the convolution operations ([+ or -], *) with impulse responses of elementary sections as kernels of these operations.
Generally, (TSO and Mather, 2001) Fuzzy Algebraic Sum and Fuzzy OR are used.
The solution in that case was a structure characterised by the three Ps: seeing progress as the algebraic sum of performance (which could be measured) and the change in potential (which could only be assessed).
This is evident in four ways: (a) negative potency (negative entities are stronger than the equivalent positive entities), (b) steeper negative gradients (the negativity of negative events grows more rapidly with approach to them in space or time than does the positivity of positive events), (c) negativity dominance (combinations of negative and positive entities yield evaluations that are more negative than the algebraic sum of individual subjective evaluations would predict), and (d) negative differentiation (negative entities are more varied, yield more complex conceptual representations, and engage a wider response repertoire).
The algebraic sum of the three potential drops in the manganin wire is opposed, through keys and a galvanometer, to the resultant emf of the reference cell and the unknown cell connected in opposition.
The former is based on simple adding up and taking away: the net worth on the balance sheet is the algebraic sum of the costs not yet charged against revenue plus the anticipated profit inherent in the debtors figure.

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