Academic Journal
The Analytic Hierarchy Process, Max Algebra and Multi-objective Optimisation
| العنوان: | The Analytic Hierarchy Process, Max Algebra and Multi-objective Optimisation |
|---|---|
| المؤلفون: | Buket Benek Gursoy, Oliver Mason, Sergeĭ Sergeev |
| المساهمون: | The Pennsylvania State University CiteSeerX Archives |
| المصدر: | http://www.hamilton.ie/ollie/Downloads/AHP_HAM.pdf. |
| سنة النشر: | 2013 |
| المجموعة: | CiteSeerX |
| مصطلحات موضوعية: | Analytic Hierarchy Process (AHP, SR-matrix, max algebra, subeigenvector |
| الوصف: | The Analytic Hierarchy Process (AHP) is widely used for decision making involving multiple criteria. Elsner and van den Driessche [10, 11] introduced a max-algebraic approach to the single criterion AHP. We extend this to the multi-criteria AHP, by considering multi-objective generalisations of the single objective optimisation problem solved in these earlier papers. We relate the existence of globally optimal solutions to the commutativity properties of the associated matrices; we relate min-max optimal solutions to the generalised spectral radius; and we prove that Pareto optimal solutions are guaranteed to exist. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| Relation: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.1609; http://www.hamilton.ie/ollie/Downloads/AHP_HAM.pdf |
| الاتاحة: | http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.299.1609 http://www.hamilton.ie/ollie/Downloads/AHP_HAM.pdf |
| Rights: | Metadata may be used without restrictions as long as the oai identifier remains attached to it. |
| رقم الانضمام: | edsbas.9A1B58F3 |
| قاعدة البيانات: | BASE |
| الوصف غير متاح. |