In this research we will study an algebraic structure pseudo d-algebras. Then we give some more properties for pseudo d-ideal that can construct a quotient pseudo d-algebras. Moreover we show that the quotient pseudo d-algebras is a pseudo d-algebras.

In this research we introduce the notions of fuzzy d-subalgebra and fuzzy d-ideal of a d-algebra with respect to a triangular norm. Then we investigate some related properties

In this research we will study an algebraic structure CI-algebra. Then we apply the notion of topology on a CI-algebra and investigate some related properties.

An MV-algebra G is an abelian monoid (G0+) with the operation * satisfying (x*)* = x x + 0* = 0* and (x *+y)*+y = (y*+x)* = x . Let G be an MV-algebra. A function f :G →G is called homomorphism if f (x + y) = f (x) + f (y) and f (x*) = (f (x)) * for all x and y in G . In this research we study the homomorphism and isomorphism theorem in MV-algebra.

The objectives of this research are to estimate the morbidity rates of Leptospirosis in each month of all provinces in Thailand to determine the trend of leptospirosis over time to investigate factors influencing on the morbidity rates and to construct the disease maps of the leptospirosis. The generalized linear mixed model (GLMM) in which the spatial effects follow the conditional autoregressive model (CAR) and the temporal effects follow a linear trend. The estimated morbidity rates are used to construct the disease maps. The dependent variables are the numbers of leptospirosis patients in each month of each province and are assumed to have a Poisson distribution. The data are secondary data at a provincial level. The factors considered are rainfall averaged temperatures and regions. The results show that the factors influencing on the morbidity rates are rainfall (Relative Risk (RR) = 1.0013) averaged temperature (RR = 0.9922) north region (RR = 10.6440) northeast region (RR = 14.3249) southern region (RR = 15.5491) western region (RR = 3.6219) and eastern region (RR = 1.0103) where the central region is a reference region and a linear trend (RR = 1.0183). The top ten province and months with high morbidity rates (per 1000000 population) ranking from largest to smallest values are Phangnga in September (59.00) Phangnga in August (33.49) Sisaket in October (23.14) Sisaket in August ศรีสะเกษ (22.60) Sisaket in September (22.57) Phngnga in October (22.55) Loei in September (21.11) Phangnga in July (20.81) Phangnga in May (20.72) and Phangnga in June (20.47) respectively. The leptospirosis maps are easy for readers to identify which areas are at high risk. They are a useful tool for planning and controlling the leptospirosis.