In this book we introduce a new procedure called αDiscounting Method for Multi-Criteria Decision Making (α-D MCDM), which is as an alternative and extension of Saaty’s Analytical Hierarchy Process (AHP). It works for any number of preferences that can be transformed into a system of homogeneous linear equations. A degree of consistency (and implicitly a degree of inconsistency) of a decision-making problem are defined. α-D MCDM is afterwards generalized to a set of preferences that can be transformed into a system of linear and/or non-linear homogeneous and/or nonhomogeneous equations and/or inequalities. Many consistent, weak inconsistent, and strong inconsistent examples are given. In Chapter 1, it is presented the general idea of α-D MCDM, which is to assign non-null positive parameters α1, α2, …, αp to the coefficients in the right-hand side of each preference that diminish or increase them in order to transform the above linear homogeneous system of equations which has only the null-solution, into a system having a particular nonnull solution.
Multi-Criteria Decision Making, decision making, neutrosophic logic
F. Smarandache. α-Discounting Method for Multi-Criteria Decision Making (α-D MCDM). Columbus: Educational Publisher, 2015
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