Research on the Properties of the AHP in the Environment of Inaccurate Expert Evaluations

The chapter deals with the issue of preference aggregation from pairwise comparison matrices in the AHP. The technique is widely used in economic research as a tool supporting decision making in finance, management and experimental economics. When inaccurate expert evaluations are made, it is essential to employ a procedure, in the technique, which correctly aggregates a decision-maker’s preferences and makes it possible to find a proper solution to a decision problem. In this chapter, with the use of simulations, fourteen aggregation procedures with different degrees of expert evaluation inaccuracies and for different sizes of decision problems are examined. Among the researched procedures there were: classical ones, based on column sums and a eigenvector of a matrix; ones based on the method of least squares using error minimization; as well as the method of a data envelope. As a result, procedures are indicated which aggregate a decision-maker’s assessment in the most precise manner and which find solutions closest to a reference.

[1]  Jaroslaw Jankowski,et al.  Modeling the Impact of Visual Components on Verbal Communication in Online Advertising , 2015, ICCCI.

[2]  Emrah Önder,et al.  Ranking the Strategies of Human Resource Management During Economic Crisis Period Using Analytic Hierarchy Process , 2014 .

[3]  Junbin Gao,et al.  A Decomposition Model for HPLC-DAD Data Set and Its Solution by Particle Swarm Optimization , 2014, Appl. Comput. Intell. Soft Comput..

[4]  Thomas L. Saaty,et al.  Making and validating complex decisions with the AHP/ANP , 2005 .

[5]  Heeseok Lee,et al.  DEVELOPING A BUSINESS PERFORMANCE EVALUATION SYSTEM: AN ANALYTIC HIERARCHICAL MODEL , 1995 .

[6]  Colin O. Benjamin,et al.  Prioritizing development goals in low-income developing countries , 1990 .

[7]  Chang-Chun Lin,et al.  A revised framework for deriving preference values from pairwise comparison matrices , 2007, Eur. J. Oper. Res..

[8]  Vitaliy V. Tsyganok,et al.  Investigation of the aggregation effectiveness of expert estimates obtained by the pairwise comparison method , 2010, Math. Comput. Model..

[9]  T. Saaty.  How to Make a Decision: The Analytic Hierarchy Process , 1990 .

[10]  Andrzej Piegat,et al.  Comparative Analysis of MCDM Methods for Assessing the Severity of Chronic Liver Disease , 2015, ICAISC.

[11]  Yuan-Duen Lee,et al.  Applying integrated DEA/AHP to evaluate the economic performance of local governments in China , 2011, Eur. J. Oper. Res..

[12]  Klaus Möller,et al.  Multiple Criteria Decision Making in Management Accounting and Control - State of the Art and Research Perspectives based on a Bibliometric Study , 2011 .

[13]  T. Saaty.  Decision making — the Analytic Hierarchy and Network Processes (AHP/ANP) , 2004 .

[14]  E. Blankmeyer.  Approaches to consistency adjustment , 1987 .

[15]  Eng Ung Choo,et al.  A common framework for deriving preference values from pairwise comparison matrices , 2004, Comput. Oper. Res..

[16]  Kwai-Sang Chin,et al.  A new data envelopment analysis method for priority determination and group decision making in the analytic hierarchy process , 2009, Eur. J. Oper. Res..

[17]  Andrzej Piegat,et al.  Identification of a Multicriteria Decision-Making Model Using the Characteristic Objects Method , 2014, Appl. Comput. Intell. Soft Comput..

[18]  Maurizio Bevilacqua,et al.  A combined goal programming - AHP approach to maintenance selection problem , 2006, Reliab. Eng. Syst. Saf..

[19]  B. Golany,et al.  A multicriteria evaluation of methods for obtaining weights from ratio-scale matrices , 1993 .

[20]  Kamal M. Al‐Subhi Al‐Harbi,et al.  Application of the AHP in project management , 2001 .

[21]  Jian-Bo Yang,et al.  Group-based ER-AHP system for product project screening , 2008, Expert Syst. Appl..

[22]  Yi Peng,et al.  Improved AHP-group decision making for investment strategy selection , 2012 .

[23]  Thomas L. Saaty,et al.  DECISION MAKING WITH THE ANALYTIC HIERARCHY PROCESS , 2008 .

[24]  Eng Ung Choo,et al.  Effectiveness Analysis of Deriving Priority Vectors from Reciprocal Pairwise Comparison Matrices , 2008, Asia Pac. J. Oper. Res..

[25]  V. Srinivasan,et al.  CGX: An expert support system for credit granting , 1990 .

[26]  Thomas L. Saaty,et al.  Portfolio selection through hierarchies* , 1980 .

[27]  Ismael Moya,et al.  A goal programming approach to estimating performance weights for ranking firms , 2010, Comput. Oper. Res..

[28]  T. Saaty,et al.  Ranking by Eigenvector Versus Other Methods in the Analytic Hierarchy Process , 1998 .

[29]  Luis G. Vargas,et al.  The allocation of intangible resources: the analytic hierarchy process and linear programming , 2003 .

[30]  Raimo P. Hämäläinen,et al.  Analyzing AHP-matrices by regression , 2003, Eur. J. Oper. Res..

[31]  Jaroslaw Jankowski,et al.  Knowledge management in MCDA domain , 2015, 2015 Federated Conference on Computer Science and Information Systems (FedCSIS).

[32]  Zbigniew Piotrowski,et al.  The Selection of Multicriteria Method Based on Unstructured Decision Problem Description , 2014, ICCCI.

[33]  Mateusz Piwowarski,et al.  Fuzzy Modeling of Digital Products Pricing in the Virtual Marketplace , 2011, HAIS.

[34]  T. Saaty,et al.  Why the magic number seven plus or minus two , 2003 .

[35]  Alessio Ishizaka,et al.  Review of the main developments in the analytic hierarchy process , 2011, Expert Syst. Appl..

[36]  Alessio Ishizaka,et al.  Analytic Hierarchy Process and Expert Choice: Benefits and limitations , 2009, OR Insight.

[37]  Alessio Ishizaka,et al.  Selection of new production facilities with the Group Analytic Hierarchy Process Ordering method , 2011, Expert Syst. Appl..

[38]  Ming-Kuen Chen,et al.  The critical factors of success for information service industry in developing international market: Using analytic hierarchy process (AHP) approach , 2010, Expert Syst. Appl..

[39]  T. Pham-Gia,et al.  The mean and median absolute deviations , 2001 .

[40]  Kweku-Muata Osei-Bryson,et al.  An action learning approach for assessing the consistency of pairwise comparison data , 2006, Eur. J. Oper. Res..

[41]  Sushil Kumar,et al.  Analytic hierarchy process: An overview of applications , 2006, Eur. J. Oper. Res..

[42]  Jaroslaw Jankowski,et al.  Integration of domain ontologies in the repository of website evaluation methods , 2015, 2015 Federated Conference on Computer Science and Information Systems (FedCSIS).

[43]  Thomas L. Saaty,et al.  The possibility of group choice: pairwise comparisons and merging functions , 2011, Social Choice and Welfare.

[44]  Mateusz Piwowarski,et al.  Method of Criteria Selection and Weights Calculation in the Process of Web Projects Evaluation , 2014, ICCCI.

[45]  Hyerim Bae,et al.  Analytic hierarchy process to assess and optimize distribution network , 2008, Appl. Math. Comput..

[46]  Jinwoo Kim,et al.  Hierarchical Structure of Intranet Functions and Their Relative Importance: : Using the Analytic Hierarchy Process for Virtual Organizations , 1998, Decis. Support Syst..

[47]  E. Piotrowski,et al.  Inconsistency of the judgment matrix in the AHP method and the decision maker’s knowledge , 2008, 0806.4876.

[48]  H. Kivijärvi,et al.  A Decision Support System for Semistructured Strategic Decisions: A Multi—Tool Method for Evaluating Intangible Investments , 1992 .

[49]  Wojciech Sałabun.  The use of fuzzy logic to evaluate the nonlinearity of human multi-criteria used in decision making , 2012 .

[50]  Waldemar Wolski,et al.  Methodological aspects of Decision Support System for the location of renewable energy sources , 2015, 2015 Federated Conference on Computer Science and Information Systems (FedCSIS).

[51]  Ab Razak Che Hussin,et al.  Deriving priority in AHP using evolutionary computing approach , 2010 .

[52]  A. Arbel,et al.  An application of the AHP to bank strategic planning: The mergers and acquisitions process , 1990 .

[53]  Thomas L. Saaty,et al.  Multicriteria Decision Making: The Analytic Hierarchy Process: Planning, Priority Setting, Resource Allocation , 1990 .

[54]  Robert H. Lewis,et al.  Solving the Least Squares Method problem in the AHP for 3 × 3 and 4 × 4 matrices ⋆ , 2005 .

[55]  Thomas L. Saaty,et al.  The analytic hierarchy process and human resource allocation: Half the story , 2007, Math. Comput. Model..

[56]  Z. Babic,et al.  Ranking of enterprises based on multicriterial analysis , 1998 .

[57]  Alessio Ishizaka,et al.  How to derive priorities in AHP: a comparative study , 2006, Central Eur. J. Oper. Res..

[58]  Zahi Abu-Sarhan.  Application Of Analytic Hierarchy Process (AHP) In The Evaluation and Selection Of an Information System Reengineering Projects , 2011 .

[59]  Füsun Ülengin,et al.  Forecasting foreign exchange rates: A comparative evaluation of AHP , 1994 .

[60]  Chen-Fu Chien,et al.  An AHP-based approach to ERP system selection , 2005 .