On uncertain probabilistic measure for some statistical methods /
Youssef Prince Attya Nasr
On uncertain probabilistic measure for some statistical methods / عن مقياس إحتمالى غير يقينى لبعض الطرق الإحصائية Youssef Prince Attya Nasr ; Supervised Abdulhadi Nabih Ahmed , Elshimaa Ahmed Ramadan Elgendi - Cairo : Youssef Prince Attya Nasr , 2017 - 84 Leaves ; 30cm
Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
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
On uncertain probabilistic measure Statistical methods Strict fuzzy sets
On uncertain probabilistic measure for some statistical methods / عن مقياس إحتمالى غير يقينى لبعض الطرق الإحصائية Youssef Prince Attya Nasr ; Supervised Abdulhadi Nabih Ahmed , Elshimaa Ahmed Ramadan Elgendi - Cairo : Youssef Prince Attya Nasr , 2017 - 84 Leaves ; 30cm
Thesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
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
On uncertain probabilistic measure Statistical methods Strict fuzzy sets