About t-norms on type-2 fuzzy sets.

Walker et al. defined two families of binary operations on M (set of functions of [0,1] in [0,1]), and they determined that, under certain conditions, those operations are t-norms (triangular norm) or t-conorms on L (all the normal and convex functions of M). We define binary operations on M, more general than those given by Walker et al., and we study many properties of these general operations that allow us to deduce new t-norms and t-conorms on both L, and M

Type-2 fuzzy system based blood pressure parameters estimation

Blood pressure parameters; Systolic, Diastolic and Mean Blood Pressure, have high correlation relationship with heart rate, but this relationship is nonlinear, multimode, and ambiguity. Type-2 Fuzzy is an intelligent technique and it has high capability to deal with the problem with high uncertainty that blood pressure parameters with heart rate relationship can be classify under them. This paper presents an Interval Type-2 Fuzzy System to estimate Systolic, Diastolic and Mean blood pressure; based on the relationship between systolic, diastolic and mean blood pressures and heart rate. The Interval Type-2 Fuzzy System is used to estimate systolic, diastolic and mean blood pressures values of thirty cases. The results are compared with real reading of systolic, diastolic and mean blood pressure and very encouraging results are achieved; the absolute value of mean of difference between real systolic, diastolic and mean blood pressures and estimated systolic, diastolic and mean blood pressures are less than 5 mmIIg. © 2008 IEEE

Adapting TIN layers to represent fuzzy geographic information

One of the latest research topics in geographic information systems (GIS for short) is the modeling of fuzzy (imprecise or vague) and/or uncertain information. A GIS usually contains large amounts of data and requires very specific operations to manage (geographic) data, both of which are described in a geographic database model. In this paper, the basic concepts for a data model describing the structure of and operations on fuzzy or uncertain geographic information are presented. Specific for the presented model is the adaptation of triangulated irregular networks (TINs), commonly used in GIS (e.g. to model altitudes), for the modelling of fuzzy (geographic) data

Autocontradicción en el conjunto de las funciones de [0,1]^[0,1] normales y convexas

Las propiedades N-autocontradicción y autocontradicción, han sido suficientemente estudiadas en los conjuntos borrosos ordinarios y en los conjuntos borrosos intuicionistas de Atanassov. En el presente artículo se inicia el estudio de las mencionadas propiedades, dentro del marco de los conjuntos borrosos de tipo 2 cuyos grados de pertenencia son funciones normales y convexas (L). En este sentido, aquí se extienden los conceptos de N-autocontradicción y autocontradicción al conjunto L, y se establecen algunos criterios para verificar tales propiedades

History and new possible research directions of hyperstructures

We present a summary of the origins and current developments of the theory of algebraic hyperstructures. We also sketch some possible lines of research