X 0 X0, 1.1b to a nontrivial random variable. Here the solution X is an n-dimensional vector-valued function on 0,∞ , A is a real n × n-dimensional matrix, K is a continuous and integrable n × n-dimensional matrix-valued function on 0,∞ , f is a continuous n-dimensional vectorvalued function on 0,∞ , Σ is a continuous n × d-dimensional matrix-valued function on 0,∞ and B t B1 t , B2 t , . . . ,...

Nuances of truth represent a robust paradigm in the framework of many-valued logics [1]. The idea of nuancing states that a many-valued object is uniquely determined by some Boolean objects, its nuances, and it is called the determination principle. However, a many-valued object cannot be recovered only from its Boolean nuances. This idea goes back to Gr. C. Moisil [4] and it is mathematically ...

has the unit circle as its graph, but these equations do not represent the same curve— because the circle is traced out in different ways on the graphs. Be sure you see the distinction between the vector-valued function and the real-valued functions and All are functions of the real variable but is a vector, whereas and are real numbers for each specific value of . Vector-valued functions serve...

In this paper, we construct a lower bound of the minimax risk in estimation problem when observe an unknoun pseudo-periodic vector-function Gaussian stationary noise with spectral density satisfying vector version Muckenhoupt condition.

The concept of quasi-coincidence of a fuzzy interval value with an interval valued fuzzy set is considered. In fact, this is a generalization of quasi-coincidence of a fuzzy point with a fuzzy set. By using this new idea, the notion of interval valued (∈,∈ ∨q)-fuzzy filters in BL-algebras which is a generalization of fuzzy filters of BL-algebras, is defined, and related properties are investiga...