Fuzzy Sets, Fuzzy Logic, Fuzzy Methods with Applications

Fuzzy Sets: Basic Notions; Examples of Fuzzy Sets; Operations with Fuzzy Sets; t-norm-Based Operations; Fuzzy Numbers and Their Arithmetic; Fuzzifified Relationships: Fuzzy Relations; Properties of Fuzzy Relations; Fuzzy Relationships between Variables; Fuzzy Programming; Linguistic Variables: The Notion of a Linguistic Variable; Fuzzy Control; Relational Equations and Fuzzy Control; Approximate Reasoning; Examples for Applications of Fuzzy Controllers; Measure Theory and Fuzzy Sets: Fuzzy Measures for Crisp Sets; Fuzzy Measures for Fuzzy Sets; Fuzziness and Probability; Some Applications; Fuzziness Measures; Fuzzy Data Analysis: Data and Their Analysis; Qualitative Data Analysis; Quantitative Data Analysis; Evaluation of Methods.