Grey relational analysis and fuzzy system theory use in livestock

Grey system theory is used when such assumptions as homogeneity of variances, normality of distribution and large sample size that are required to be met for the application of parametric statistical analysis methods are not valid. One of the subcomponents of grey system theory, grey relational analysis is a method that uses Gray Relation Coefficient (GRC) to grade, classify and make decisions on a data set. This study examined the effects of zeolite, organic acid and zeolite-organic acid on egg quality and performance. Study sample consists of 24 twenty-eight-week-old Lohmann white laying hens. Gray relational analysis, basic component analysis and fuzzy system theory methods were used depending on the quality and performance criteria of the eggs. The results of the analyses show that organic acid (P) -added groups (P6, P3, P1) in general are eggs of the highest quality. In control group K1, eggs of sample (Z+P)1, to which zeolite and organic acid were added together, are eggs of high quality. Eggs to which zeolite was added are of average quality while those in the control group and zeolite-organic acid group are of low quality Keywords: Grey relational analysis, fuzzy logic, principal component analysis