Browsing by Author "Pereda Sifuentes, Eliseo Genaro"

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    Relaciones binarias difusas
    (Universidad Nacional de Trujillo, 2013) Pereda Sifuentes, Eliseo Genaro
    Fuzzy logic is a generalization of classical logic and work with fuzzy sets that are mathematical models of real world phenomena involving imprecision or vagueness. The concept of fuzzy set generalizes the classical notion of set (crisp). A fuzzy set A in a universe X is associated with a function A : X ! [0; 1] called \ membership function " that assigns to each element x of X a real number A(x) in [0; 1] called \ degree of membership " of the element x to the set A. A higher degree of membership re ects a sense of belonging \ stronger " the set A. Many mathematical concepts are extended to the fuzzy context, resulting in fuzzy mathematics. In our work, we will extend the concept of relationship between elements of the classic sets to the relationship between elements of fuzzy set and we will study their properties and some applications.