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008 180918s2017 ua f m 000 0 eng d
040 _aEG-GiCUC
_beng
_cEG-GiCUC
041 0 _aeng
049 _aDeposite
097 _aPh.D
099 _aCai01.18.03.Ph.D.2017.Yo.O
100 0 _aYoussef Prince Attya Nasr
245 1 0 _aOn uncertain probabilistic measure for some statistical methods /
_cYoussef Prince Attya Nasr ; Supervised Abdulhadi Nabih Ahmed , Elshimaa Ahmed Ramadan Elgendi
246 1 5 _aعن مقياس إحتمالى غير يقينى لبعض الطرق الإحصائية
260 _aCairo :
_bYoussef Prince Attya Nasr ,
_c2017
300 _a84 Leaves ;
_c30cm
502 _aThesis (Ph.D.) - Cairo University - Institute of Statistical Studies and Research - Department of Mathematical Statistics
520 _aIn 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
530 _aIssued also as CD
653 4 _aOn uncertain probabilistic measure
653 4 _aStatistical methods
653 4 _aStrict fuzzy sets
700 0 _aAbdulhadi Nabih Ahmed ,
_eSupervisor
700 0 _aElshimaa Ahmed Ramadan Elgendi ,
_eSupervisor
856 _uhttp://172.23.153.220/th.pdf
905 _aNazla
_eRevisor
905 _aSamia
_eCataloger
942 _2ddc
_cTH
999 _c67507
_d67507