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Introduction to Fuzzy Set Theory
Basic Concept of Fuzzy Sets In real life, we often use terms like “hot,” “young,” or “tall”—but have you ever thought about how vague those terms really are? What’s hot for one person might be just warm for another. Traditional mathematics doesn’t handle this uncertainty well—but fuzzy set theory does. In this blog post, we’ll break down the basic concept of fuzzy sets , how they work, and why they matter in fields like artificial intelligence, data science, and automation. What is a Fuzzy Set? A fuzzy set is a mathematical way of representing uncertainty and vagueness. It extends classical (crisp) set theory by allowing partial membership . This means that an element can belong to a set to some degree , not just 100% in or 100% out. Classical Set vs. Fuzzy Set: In a classical (crisp) set , the answer to "Is this number in the set?" is yes or no —with no in-between. In a fuzzy set , the answer can be “kind of” , represented by a value betwee...
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