Fuzzy BCK-Algebra. Fuzzy Ideals and Filters In BCK - Algebras

      Аннотация: Various aspects of uncertainty, non-classical- mathematics (fuzzy mathematics or great extension and development of classical mathematics) are considered a more powerful technique than classical mathematics. Non- classical mathematics has now days become a useful tool in applications of mathematics and computer science. The aims of this book to apply the concept of the fuzzy sets to some algebraic structures such as an ideal, upper semilattice, lower semilattice, lattice, and sub-algebra and give some properties of these algebraic structures by using the concept of fuzzy sets and study the foldness theory of fuzzy implicative ideals, implicative weak ideals. Finally, we construct some algorithms for studying the theory of BCK-algebras.

Ключевые слова: Fuzzy BCK Algebra set, lower semi- lattice, upper sem-lattice