AHP DECISION MATRIX GENERATOR
AHP DECISION MATRIX PORTABLE

Zahedi, F.: 1986, ‘The analytic hierarchy process - a survey of the method and its applications’, Interfaces 16(4), 96–108.The selection of quality gemstones requires a special ability to select and assess the quality of gemstones to be traded. G.: 1983, ‘Analysis of sensitivity of reciprocal matrices’, Applied Mathematics and Computation 12, 201–220. G.: 1982, ‘Reciprocal matrices with random coefficients’, Mathematical Modelling 3, 69–81. Theil, H.: 1979, ‘The measurement of inequality by components of income’, Econom.

AHP DECISION MATRIX PORTABLE

Schrage, L.: June 1979, ‘A more portable random number generator’, ACM Transactions on Mathematical Software 5(2), 132–138. and Noble, E.: 1990, ‘An improved measure of mean random inconsistencies for AHP decision makers’, Proceedings of the 1990 Annual Meeting 1, 212–215. L.: 1980, The Analytic Hierarchy Process, McGraw-Hill, New York. Ross, S.: 1984, A First Course in Probability, Macmillan, New York-London. H.: 1988, Multi-Criteria Decision Making (MCDM) Techniques in Planning, Pergamon Press, Oxford-New York.

AHP DECISION MATRIX GENERATOR

M.: 1969, ‘A pseudo-random number generator for the System/360’, IBM Syst. A.: 1989, ‘A consistency test for AHP decision makers’, Decision Sciences 20, 575–590. R.: 1990, ‘A comparative study of multiattribute decision making methodologies’, Theory and Decision 29, 203–222. L.: 1988, Statistics, Holt, Rinehart and Winston Inc., New York. (Eds.), Springer-Verlag, New York-Leipzig. T.: 1990, ‘The art and science of decision making: The analytic hierarchy process’, in: The Analytic Hierarchy Process, Applications and Studies, Golden, B., Wasil, E., and Harker, P. M.: 1990, Entropy and Information Theory, Springer-Verlag, New York. F.: 1989, Matrix Computations, The Johns Hopkins University Press, Baltimore, Maryland. Golden, Bruce L., and Wang, Qiwen: 1990, ‘An alternate measure of consistency’, in: The Analytic Hierarchy Process, Applications and Studies, Golden, B., Wasil, E., and Harker, P., (Eds.), Springer-Verlag, New York-Leipzig. We will prove that the entropy of the vector of priorities for consistent matrices follows a normal distribution and discuss some general considerations of this result. Indeed, it is the purpose of this paper to provide a formal definition of this notion of entropy of a priority vector, and to provide a framework for a quantitative measurement of the information content of consistent pairwise comparison judgment matrices of a decision maker who is using the Analytic Hierarchy Process. In this paper, the quality of a consistent decision maker's judgments using the Analytic Hierarchy Process is placed in the context of the entropy of the resulting vector of priorities. An extreme example would be a pairwise comparison judgment matrix filled with 1s which is totally consistent under the various definitions of consistency, but has provided no information about the prioritization of alternatives resulting from the decision maker's judgments. A decision maker using the Analytic Hierarchy Process (AHP) could be consistent, and still provide no information in the resulting vector of priorities.

Ahp decision matrix