توضیحات
ABSTRACT
In this paper we suggest a Markov based approach for calculating the fuzzy limit matrix in the analytic network process,where we experimented with several alternative computational methods that accommodate fuzziness in the supermatrix calculations and allow for considering cumulative uncertainty.The methods include constrained fuzzy computations (closed form and numerical methods),interval computations and heuristic based methods.A numerical example is given to demonstrate the ability of the methods and compare the results with supermatrix computations with crisp values.
INTRODUCTION
The analytic network process (ANP) is a multi-criteria theory of measurement used to derive priority scales from individual or group judgments representing the relative dependence among the elements of a network system.To capture the transmission of influence along all paths defined in the network and to obtain the overall priorities of the elements,a supermatrix is formed and analyzed (Saaty, 2001).This partitioned matrix contains local priorities derived from pairwise comparisons throughout the network and thus serves as a unifying framework.The cumulative influence of each element on every other element with which it interacts, i.e. its global priority,is determined by raising the supermatrix to limiting powers.
Year:2010
Publisher: Istanbul Technical University, Industrial Engineering Department
By: Umut ASAN, Şeyda SERDAR-ASAN, Ayberk SOYER
File information: English Language / 6 Page / Size 676 KB
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سال: 2010
ناشر: Istanbul Technical University, Industrial Engineering Department
کاری از: Umut ASAN, Şeyda SERDAR-ASAN, Ayberk SOYER
اطلاعات فایل: زبان انگلیسی/ 6 صفحه/ حجم 676 کیلوبایت
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