Systems of set theory | Fuzzy logic
In mathematics, fuzzy sets (a.k.a. uncertain sets) are sets whose elements have degrees of membership. Fuzzy sets were introduced independently by Lotfi A. Zadeh in 1965 as an extension of the classical notion of set.At the same time, defined a more general kind of structure called an , which he studied in an abstract algebraic context. Fuzzy relations, which are now used throughout fuzzy mathematics and have applications in areas such as linguistics, decision-making, and clustering, are special cases of L-relations when L is the unit interval [0, 1]. In classical set theory, the membership of elements in a set is assessed in binary terms according to a bivalent condition—an element either belongs or does not belong to the set. By contrast, fuzzy set theory permits the gradual assessment of the membership of elements in a set; this is described with the aid of a membership function valued in the real unit interval [0, 1]. Fuzzy sets generalize classical sets, since the indicator functions (aka characteristic functions) of classical sets are special cases of the membership functions of fuzzy sets, if the latter only takes values 0 or 1. In fuzzy set theory, classical bivalent sets are usually called crisp sets. The fuzzy set theory can be used in a wide range of domains in which information is incomplete or imprecise, such as bioinformatics. (Wikipedia).
Introduction to sets || Set theory Overview - Part 2
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From playlist Set Theory
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From playlist Sets (Discrete Math)
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From playlist Set Theory
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From playlist Sets (Discrete Math)
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From playlist Sets
What is the complement of a set? Sets in mathematics are very cool, and one of my favorite thins in set theory is the complement and the universal set. In this video we will define complement in set theory, and in order to do so you will also need to know the meaning of universal set. I go
From playlist Set Theory
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From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
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From playlist Fuzzy Logic
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From playlist Fuzzy Logic
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From playlist AI, Machine Learning, Data Science | Developer Tech Showcase
Fuzzy Logic Systems - Part 1: Introduction
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From playlist Fuzzy Logic
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From playlist Fuzzy Logic
23C3: A Natural Language Database Interface using Fuzzy Semantics
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Topology Without Tears - Video 4c - Writing Proofs in Mathematics
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From playlist Topology Without Tears
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From playlist Control System Design and Analysis
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From playlist Fuzzy Logic
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