α-Discounting Method for Multi-Criteria Decision Making (α-D MCDM)

Author

Smarandache, F.

Author_Institution

Math & Sci. Dept., Univ. of New Mexico, Gallup, NM, USA

fYear

2010

fDate

26-29 July 2010

Firstpage

1

Lastpage

7

Abstract

In this paper we introduce a new procedure called α-Discounting 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 set 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 generalized to a set of preferences that can be transformed into a system of linear and/or nonlinear homogeneous and/or non-homogeneous equations and/or inequalities. Consistent, weak consistent, and strong consistent examples are presented in the sequel for linear and non-linear decision making problems.

Keywords

decision making; nonlinear equations; α-discounting method; Saaty analytical hierarchy process; consistency degree; homogeneous linear equatio; multicriteria decision making; nonhomogeneous equation; nonlinear homogeneous equation; Decision making; Eigenvalues and eigenfunctions; Equations; Linear systems; Mathematical model; Software; Vectors; α-Discounting Method; Analytical Hierarchy Process (AHP); Fairness Principle; Multi-Criteria Decision Making (MCDM); consistent MCDM problem; n-wise comparison; pairwise comparison; parameterize; weak or strong inconsistent MCDM problem;

fLanguage

English

Publisher

ieee

Conference_Titel

Information Fusion (FUSION), 2010 13th Conference on

Conference_Location

Edinburgh

Print_ISBN

978-0-9824438-1-1

Type

conf

DOI

10.1109/ICIF.2010.5712044

Filename

5712044