27 The Distributive mode is useful when the The Ideal mode is useful in choosing a best uniqueness of an alternative affects its rank. The School Example Revisited Composition & Synthesis: Impacts of Schools on Criteria Ideal Mode (Dividing each entry by the maximum value in its column) Distributive Mode (Normalization: Dividing each entry by the total in its column). Note that if the number of elements in a comparison is large, for example 100, each would receive a 1% relative value and the small inconsistency of 1% in its measurement would change its value to 2% which is far from its true value of 1%.A small inconsistency would change that value by a small amount and their true relative value would still be sufficiently large to preserve that value.Being homogeneous they would then each receive about ten to 15 percent of the total relative value in the vector of priorities. As a result the number of elements compared must be small, i.This would allow variations in the measurement of the elements being compared without destroying their identity.Thus, an inconsistency of no more than 10% can be tolerated. Mathematically the measurement of consistency should allow for inconsistency of no more than one order of magnitude smaller than consistency.Yet inconsistency cannot be negligible otherwise, we would be like robots unable to change our minds.Inconsistency is important for modifying our consistent understanding, but it must not be too large to make information seem chaotic.Redundancy improves the validity of the information about the real world.Inconsistency arises from the need for redundancy.But he could and is one of the best.Ĭonsistency (cont. An unintelligent observer would claim that he did not know how to cook, because if he did, he should be able to communicate it to others. It was registered in his mind, this could not be written down and communicated to someone else. No matter how hard she tried to translate his comments to numbers, neither she nor he could do it. When he revealed how much was needed for each ingredient, he said you use a little of this and a handful of that. So she armed herself with a pencil and paper, went to the restaurant and begged Valerio to spell out the details of the recipe in an easy way for her. Isabel had eaten a favorite dish risotto ai funghi, rice with mushrooms, many times and loved it so much that she wanted to learn to cook it herself for her husband, Valerio’s son, Claudio. He is recognized as the best cook in Santiago. He owns a well known Italian restaurant called Valerio. Knowledge is Not in the Numbers Isabel Garuti is an environmental researcher whose father-in-law is a master chef in Santiago, Chile.

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