Abstract
The evaluation with only the alternatives consist of the missing values or the non-square matrix is not easy to make. The ANP that contains these irregular alternatives is defined as "Minor ANP". Then, this study describes the methods of making the priority of only the alternative’s matrix values by using the ANP. Our new method is proposed, and is compared with the Harker method and the Nishizawa method in presumption of missing values. And, another new method is proposed, and is compared with the Kinoshita method in the non-square matrix, too. Moreover, the paper presents the types of the decision-making, the meaning of the eigenvalue, and the negative elements of the criteria matrix to the ANP.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Harker, P.T., Vargas, L.G.: Incomplete Pairwise Comparisons in the Analytic Hierarch Process. Math. Modeling 9, 838–848 (1987)
Kinoshita, E., Sugiura, S.: A comparison of dominant AHP and similar dominant models. Journal of Research Institute of Meijo University 7, 113–116 (2008)
Nishizawa, K.: Estimation of Unknown Comparisons in Incomplete AHP, Report of the Research Institute of Industrial Technology, Nihon University 77, 1–9 (2005)
Nishizawa, K.: Simple AHP based on three-level evaluation and two-cluster ANP for the decision makers. Journal of Japanese Symposium on the Analytic Hierachy Process of the Operations Research Society of Japan 1, 97–104 (2007)
Ozaki, T., Sugiura, S., Kinoshita, E., Tzeng, G.H.: Dissolution of the dilemma or circulation problem using the Analytic Network Process. In: Proceedings of the Tenth International Symposium on the Analytic Hierarchy Process 2009, Pittsburgh (2009)
Saaty, T.L.: The Analytic Hierarchy Process. McGraw-Hill, New York (1980)
Saaty, T.L.: Decision Making with Dependence and Feedback: The Analytic Network Process. RWS Publications, Pittsburgh (1996)
Sugiura, S., Kinoshita, E.: Solution of Circular Logic by Concurrent Convergence Method of Evaluating Value. Urban Science Studies of Meijo University 10, 115–121 (2005)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2010 Springer Berlin Heidelberg
About this paper
Cite this paper
Ozaki, T., Lo, MC., Kinoshita, E., Tzeng, GH. (2010). Decision-Making by “Minor ANP” and Classification of the Types. In: Phillips-Wren, G., Jain, L.C., Nakamatsu, K., Howlett, R.J. (eds) Advances in Intelligent Decision Technologies. Smart Innovation, Systems and Technologies, vol 4. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-14616-9_9
Download citation
DOI: https://doi.org/10.1007/978-3-642-14616-9_9
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-14615-2
Online ISBN: 978-3-642-14616-9
eBook Packages: EngineeringEngineering (R0)