Case Method in Healthcare Operational Research Education - سایر روشهای محاسبه وزن
شنبه 31 اردیبهشت 1390  12:00 ب.ظ
نوع مطلب: (جلسه13 ،) توسط: امین ترابی


3- روش میانگین حسابی        می گن بهتریم!

در این روش ابتدا هر ستون را نرمالایز كنید سپس میانگین حسابی عناصر ماتریس نرمال شده را برای به دست آوردن وزنها محاسبه كنید.

ماتریس نرمالایز

 مجموع وزنها برابر با یك و هر كدام از اعداد بین صفر و یك

 اگر ماتریس ناسازگار باشد جوابهای مختلف روشهای مختلف به دست می‌آید.


4) روش میانگین هندسی

در این روش ابتدا میانگین هندسی اعداد هر سطر را محاسبه كنید تا یك بردار ستونی به دست آنگاه این بردار را نرمالایز كنید.

هر كدام را بر مجموع تقسیم می كنیم.


روش دقیق:

روش بردار ویژه:

بردار به دست آوردن وزنها به روش دقیق طبق قضیه ساعتی وزنها از رابطه زیر به دست می آید.

W بردار وزنها                                                                           

A ماتریس مقایسات زوجی                     

E بردار ستونی یك به تعداد سطرها

T ترانهاده          وقتی جای سطر و ستون را جا به جامی كنیم.

تكرار اول 1= k

یعنی جمع همه سطرها = Ae

خجالت بكش  جمع همه اعداد ماتریس = مخرج كسر

اینجوری باید حمایت كنین؟

مثل روش اول تقریبی

چرا؟ چون 1 = k

2 = k

از روی این ماتریس محاسبه می كنیم

 اینجا مثلاً تقریباً همان تا  كه میل كند به عمده ثابتی می رسد.

تمرین: با استفاده از روش فوق وزن ها را برای c,b,a تا 4 رقم اعشار محاسبه كنید


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