The logarithmic least squares priorities and ordinal violations in the best-worst method

التفاصيل البيبلوغرافية
العنوان: The logarithmic least squares priorities and ordinal violations in the best-worst method
المؤلفون: Csató, László
سنة النشر: 2023
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Optimization and Control, 15A06, 90B50, 91B08
الوصف: The best-worst method is an increasingly popular approach to solve multi-criteria decision-making problems. However, the usual prioritisation techniques may result in ordinal violations if the best (worst) alternative identified in an early step does not receive the highest (lowest) weight in a later step. The current paper gives two sufficient conditions for the logarithmic least squares method, applied to the implied incomplete best-worst method matrix, to guarantee the lack of ordinal violations. Our results provide another powerful argument for using the logarithmic least squares priorities in the best-worst method.
Comment: 9 pages
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2304.12626
رقم الأكسشن: edsarx.2304.12626
قاعدة البيانات: arXiv