The analysis of the quality of the results obtained with the methods of multi‐criteria decisions

Abstract For many decades we have been dealing with problems of multi‐criteria decisions. Numerous methods have been developed in this field and new methods are continuously being created. In the light of a great number of methods currently proposed, it is difficult to gain a profound overview. Comparisons on the performance of various methods are done to a small extent only. When applying the methods, in some cases many mathematical operations are performed, which renders it impossible to sufficiently assess their effect with such a complexity. It is therefore aimed at analysing the peculiarities of several methods in a critical review and to give hints for possible consequences. The analysis is primarily concentrated on the normalisation of indices in the mapping to the interval [1; 0] or [1; ∼ 0]. This includes linear functions (the relative difference and the calculation with interval boundaries) and non‐linear functions (the hyperbolic function, the quadratic and cubic function, the square root and t...

[1]  Edmundas Kazimieras Zavadskas,et al.  Multi‐objective decision‐making for road design , 2008 .

[2]  Valentinas Podvezko,et al.  Research On the Quality of Passenger Transportation By Railway , 2009 .

[3]  Ying-Ming Wang,et al.  On the normalization of interval and fuzzy weights , 2006, Fuzzy Sets Syst..

[4]  E. Zavadskas,et al.  Application of a quantitative multiple criteria decision making (MCDM-1) approach to the analysis of investments in construction , 2007 .

[5]  Romualdas Ginevičius,et al.  Normalization of quantities of various dimensions , 2008 .

[6]  E. Zavadskas,et al.  Multi-criteria Optimization System for Decision Making in Construction Design and Management , 2009 .

[7]  Edmundas Kazimieras Zavadskas,et al.  Multi-attribute Assessment of Road Design Solutions by Using the COPRAS Method , 2007 .

[8]  Jurgita Antucheviciene,et al.  Evaluation of Ranking Accuracy in Multi-Criteria Decisions , 2006, Informatica.

[9]  Friedel Peldschus,et al.  Zur Anwendung der Theorie der Spiele für Aufgaben der Bautechnologie , 1986 .

[10]  A. Caramazza,et al.  A Fuzzy Set Approach to Modifiers and Vagueness in Natural Language , 2005 .

[11]  Friedel Peldschus,et al.  Experience of the game theory application in construction management , 2008 .

[12]  Ching-Lai Hwang,et al.  Multiple Attribute Decision Making: Methods and Applications - A State-of-the-Art Survey , 1981, Lecture Notes in Economics and Mathematical Systems.

[13]  Valentinas Podvezko,et al.  Multicriteria graphical‐analytical evaluation of the financial state of construction enterprises , 2008 .

[14]  Marius Jakimavičius,et al.  Automobile transport system analysis and ranking in Lithuanian administrative regions , 2007 .

[15]  Matthias Ehrgott,et al.  Multiple criteria decision analysis: state of the art surveys , 2005 .

[16]  Friedel Peldschus,et al.  The effectiveness of assessments in multiple criteria decisions , 2007 .

[17]  E. Stanley Lee,et al.  An extension of TOPSIS for group decision making , 2007, Math. Comput. Model..

[18]  Subir Kumar Saha,et al.  Attribute based specification, comparison and selection of a robot , 2004 .

[19]  Leonas Ustinovichius,et al.  Development of Software for Multiple Criteria Evaluation , 2003, Informatica.

[20]  Edmundas Kazimieras Zavadskas,et al.  A New Logarithmic Normalization Method in Games Theory , 2008, Informatica.

[21]  Edmundas Kazimieras Zavadskas,et al.  SELECTION OF THE EFFECTIVE DWELLING HOUSE WALLS BY APPLYING ATTRIBUTES VALUES DETERMINED AT INTERVALS , 2008 .

[22]  A. Milani,et al.  The effect of normalization norms in multiple attribute decision making models: a case study in gear material selection , 2005 .

[23]  Valentinas Podvezko,et al.  Evaluating the alternative solutions of wall insulation by multicriteria methods , 2008 .

[24]  Juozas Bivainis,et al.  Assessment of Employee's Knowledge Potential in Transport Sector , 2008 .

[25]  Edmundas Kazimieras Zavadskas,et al.  Multi-Criteria Optimization Software LEVI-4.0 a Tool to Support Design and Management in Construction , 2008 .

[26]  Edmundas Kazimieras Zavadskas,et al.  The MOORA method and its application to privatization in a transition economy , 2006 .

[27]  Edmundas Kazimieras Zavadskas,et al.  Fuzzy Matrix Games Multi-Criteria Model for Decision-Making in Engineering , 2005, Informatica.