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العنوان
On uncertain probabilistic measure for some statistical methods /
الناشر
Youssef Prince Attya Nasr ,
المؤلف
Youssef Prince Attya Nasr
هيئة الاعداد
باحث / Youssef Prince Attya Nasr
مشرف / Abdulhadi Nabih Ahmed
مشرف / Elshimaa Ahmed Ramadan Elgend
مشرف / Abdulhadi Nabih Ahmed
تاريخ النشر
2017
عدد الصفحات
84 Leaves ;
اللغة
الإنجليزية
الدرجة
الدكتوراه
التخصص
الإحصاء والاحتمالات
تاريخ الإجازة
18/9/2018
مكان الإجازة
جامعة القاهرة - المكتبة المركزية - Mathematical Statistics
الفهرس
Only 14 pages are availabe for public view

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Abstract

In this thesis, strict fuzzy sets are introduced which is an alternative fuzzy sets introduced by zadeh (1965). The reason to introduce strict fuzzy sets is that the classical fuzzy sets do not obey the laws of non- contradiction and exclude the middle. Under strict fuzzy sets it is shown that both laws holds, other set properties are also derived in the thesis. A result of the inability of fuzzy sets, fuzzy probability measure introduced by Zadeh (1986) was shown no to be a probability measure. Strict fuzzy probability is introduced in this thesis to redefine fuzzy probability to avoid this gap, other properties of strict fuzzy probability are derived. Finally, some applications of strict fuzzy probability to triangular and sine membership functions over exponentially distributed variable are presented and some of their statistical properties