Safeguard Assessment of Nanoscale Nuclear Material in Nuclear Power Plant Operations Using the Analytic Hierarchy Process and Production Function - Atomic Nanoscale Technology in the Nuclear Industry - page 111

TABLE 10.3
Saaty's.Sc ale.for.Comparisons*

Number Meaning

1 Two.elements.are.equally.important

3 One.element.is.slightly.more.important.than.another

5 One.element.is.strongly.more.important.than.another

7 One.element.is.very.strongly.more.important.than.another

9 One.element.is.extremely.more.important.than.another

2,.4,.6,.8 Intermediate.values

* . Modiied.from.Saaty,.T..L..1980.. The Analytic Hierarchy Process. .New.
York:.McGraw.Hill.

of.AHP.is.usually.obtained.by.the.survey.of.an.expert.group..In.addition,.
dynamic. quantiication. requires. repeated. numerical. assessments. during.
the. life. cycle.. Random. number. generation. can. be. used. for. these. repeated.
numbers..The.Saaty.comparison.rating.scale.is.shown.in.Table 10.3.
The. Saaty. scale. is. used. in. the. numerical. rating. for. fuel. monitoring.. The.
consistency.(λ).calculation.is.obtained.using.the.following.weighting.multi-
plication..Each.element.of. a ii .is.shown.in.the.matrix.in.Equation.(10.1).

Weighting multiplication

a a a a a W

11 11 11 11 11 1

a

21 a a a a

W

22 23 24 25 2

. (10.1)

= a a a a a W

31 32 33 34 35 3

a a a a a W

41 42 43 44 45 4

a a a a a

W 51 52 53 54 55

.

Consistency ( ) = Weighting Mult.
Weighting

. λ . (10.2)

The. C.I. . (consistency. index). and. C.R. (consistency. ratio). are. obtained. for.
the.weighting.value.and.consistency..The.random.index.in.Table 10.4.is.used.
for. the. C.R. . where. the. C.R. should. be. 0.1. for. the. consistency. of. hierarchy.

TABLE 10.4
Random.Index.for.Modeling

Size 1 2 3 4 5 6 7 8 9 10

RI 0 0 0.58 0.9 1.12 1.24 1.32 1.41 1.45 1.49