Branch Mathematics and Statistics Faculty and Staff Publications
Document Type
Book
Publication Date
2015
Abstract
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.
Publisher
EDUCATIONAL PUBLISHER
ISSN
978-1-59973-335-7
Language (ISO)
English
Keywords
Multi-Criteria Decision Making, decision making, neutrosophic logic
Recommended Citation
F. Smarandache. α-Discounting Method for Multi-Criteria Decision Making (α-D MCDM). Columbus: Educational Publisher, 2015
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Included in
Applied Mathematics Commons, International and Area Studies Commons, Leadership Studies Commons, Logic and Foundations Commons, Other Mathematics Commons, Other Social and Behavioral Sciences Commons
