In this research work, fuzzy mathematical model usinggeneralized gamma distribution, a mathematical model based on fuzzylog-logistic distribution, a fuzzy Rayleigh distributionmathematical model,fuzzy reliability model by means of generalized Rayleigh distribution, fuzzymathematical model using Nadarajah and Haghighi distribution, fuzzy survivalanalysis model using exponentiated Nadarajahand Haghighidistribution were developed. The thesisplanned to cover six chapters as follows:In chpaterone, Literature review, mathematical models establishedusing fuzzy methods and the particulars about the hormone Oxytocin has beenpresented.In thechapter two, a mathematical model developed by using fuzzygeneralized gamma distribution (FGGD) and fuzzy log-logistic distribution(FLLD) and it is used to calculate the effect of different doses of oxytocinhas been conversed. The fuzzy mean and variance values are calculated for the changes ofhind paw with drawl latency (HWL) of normalmature mice for dissimilar doses oxytocin 103 was analysed. In theChapter three, fuzzy Rayleigh distribution (FRD) model and Fuzzygeneralaized Rayleigh distribution (FGRD) model has been debated. The parameter of Rayleigh distribution modelwas find out by using maximum likelihood estrimator.
The mean and variancevalues are calculated for the salivary excretion of oxytocin 92 afterintransal administration of oxytocin. Using FGRD model thehaemodynamic effects 76 of oxytocin 5u was calculated by findingthe mean and variance of FGRD. In chapter four, the fuzzy models based on FGGD,FLLD, FGRD and FRD were used to find the haemodynamic changes caused byoxytocin by finding the mean and variance values. The most reliable fuzzy modelamong the above mentioned model was find out by using the testing of hypothesisfor the mean values of repiratory changes, heart rate, cardiac output, strokevolume after administration 5u and 10udoses of oxytocin.In chapter five, fuzzy reliability model wasestablished using generaliaed Rayleigh distribution (FGRD) and Fuzzy Nadarajahand Haghighi (FNH) distribution. Theses models were using to measure thereliablity or survival values and hazard rate values for the different timeinterval after the administratrion of oxytocin for womens, undergoing caesareansection 90, 100 were established.
In chapter six, Fuzzy ExponentiatedNadarajah and Haghighi (FENH) distribution model was established. The survivaland hazard rates were measured for different time interval after theadministratrion of oxytocin for lower alpha cut and for the upper alpha cut regarding the time intervals.