The book discusses the properties of operations of conjunction, disjunction and negation of fuzzy logic and the operations of crossing, combining and complementing fuzzy sets defined by them. The first chapter examines the classical fuzzy logic operations introduced by Zadeh, and explores the properties of the Kline algebra. The second chapter examines involutive and non-involutive negation operations and methods of their generation. The third chapter provides basic information about t-norms and t-conormes, discusses methods for generating parametric classes of non-associative operations of conjunction and disjunction and examples of the application of these operations in fuzzy modeling tasks. Designed for students, graduate students and researchers specializing in soft computing and intelligent information systems development.