Superfluous attributes

TABLE 3.4 Modified Version of Table 3.2 Explicitly Showing the Removal of the Superfluous Condition Attribute gene-3 (Dark Gray Band) and the Superfluous Attribute Values otgene- ... 

Asterisks indicate superfluous attribute values in Ught-gray shaded panels. See Section 3.2.4 for additional discussion. 

Four rules are obtained from the example presented in Section 3.2.3 and the data given in Table 3.4, which is based on the removal of the superfluous attribute, gene-3, and the superfluous attribute values associated with gene-l. An ordered-paiT notation is employed for compacmess, where the first term corresponds to the condition or decision attribute and the second term corresponds to the value of the attribute with respect to a given indiscemibility class or object (molecule in this work) within the class. The value of the ordered pair is taken to be true and the expressions are interpreted as IF-THEN rules as shown in Table 3.5. ... 

Simplify rules by removing superfluous attribute values (Table 3.11 Section 3.4)... 

The rules given in Table 3.10 can be further simplified by the removing superfluous attribute values. Since removal of these values does not influence the partitioning of D-space, the overall prediction of a given rule is unaffected (see Sections 3.2.4.1, 3.2.4.2, and... 

Product attributes that are superfluous or are not known to be critical to quality should not be considered by the design space model (there should not be a penalty for monitoring such parameters, however). 

From all which we conclude that it is quite superfluous to attribute the heat of bodies to a subtle, specially devised matter. Heat on the contrary consists in an internal circular motion of the combined matter of the substance, etc. 8... 

Attempts to use selenium either in place of or in conjunction with sulphur in the vulcanisation of rubber do not appear to be completely successful,2 although it is claimed that rubber vulcanised with sulphur and selenium in the presence of an organic accelerator exhibits enhanced rigidity and resistance to abrasion.3 The incorporation of powdered selenium in ordinary rubber for vulcanisation by sulphur is said to provide crystalline selenium nuclei which induce the internal crystallisation of any superfluous sulphur and so prevent the undesirable surface crystallisation (or bloom ). The effect is attributed to the isomor-plious character of selenium and sulphur. 

In addition, as discussed, RST provides a rigorous framework for eliminating superfluous condition attributes that provide irrelevant information. This leads to a simplification of the rules since the number of condition attributes is significantly reduced, a feature of the RST method that accords well with the principle of Occam s razor [24]. 

Although the process of identifying and removing superfluous condition attribute values is quite simple for the example presented here, which can be done by hand, this is not the case in general. The next works should be consulted for detailed discussion of this important issue [6, 11, 34-36], As will be seen, in Section 3.2.5 on rule generation, the remaining attribute values in Table 3.4 form the basis for a set of linguistic rules that capture the information in the simplified data table. 

The parentheses may frame an operand in an operator, not as attribute but as a new operator to combine their operands (5 ) (Five factorial - the parentheses are superfluous here but do not result in error), (1 + 4) (Factorial of the sum - here will be an error without parentheses)... 

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