A fuzzy relation is the cartesian product of mathematical fuzzy sets. Two fuzzy sets are taken as input, the fuzzy relation is then equal to the cross product of the sets which is created by vector multiplication. Usually, a rule base is stored in a matrix notation which allows the fuzzy controller to update its internal values. From a historical perspective, the first fuzzy relation was mentioned in the year 1971 by Lotfi A. Zadeh. A practical approach to describe a fuzzy relation is based on a 2d table. At first, a table is created which consists of fuzzy values from 0..1. The next step is to apply the if-then-rules to the values. The resulting numbers are stored in the table as an array. Fuzzy relations can be utilized in fuzzy databases. (Wikipedia).
Equivalence Relations Definition and Examples
Please Subscribe here, thank you!!! https://goo.gl/JQ8Nys Equivalence Relations Definition and Examples. This video starts by defining a relation, reflexive relation, symmetric relation, transitive relation, and then an equivalence relation. Several examples are given.
From playlist Abstract Algebra
Discrete Math - 9.5.1 Equivalence Relations
Exploring a special kind of relation, called an equivalence relation. Equivalence classes and partitions are also discussed. Textbook: Rosen, Discrete Mathematics and Its Applications, 7e Playlist: https://www.youtube.com/playlist?list=PLl-gb0E4MII28GykmtuBXNUNoej-vY5Rz
From playlist Discrete Math I (Entire Course)
Determine if a Relation is a Function
http://mathispower4u.wordpress.com/
From playlist Intro to Functions
Put all three properties of binary relations together and you have an equivalence relation.
From playlist Abstract algebra
How to Prove a Relation is an Equivalence Relation
How to Prove a Relation is an Equivalence Relation Proving a Relation is Reflexive, Symmetric, and Transitive;i.e., an equivalence relation. I had never done this problem before so there are moments where you can see me pause briefly because I had to figure it out.
From playlist Functions, Sets, and Relations
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Please feel free to leave comments/questions on the video and practice problems below! In this video, I set up equivalence relations and the canonical mapping. The idea of equivalence relation will return when we construct higher-level number systems, e.g.integers, from the natural number
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From playlist Fuzzy Logic
This video introduces similarity and explains how to determine if two figures are similar or not. http://mathispower4u.com
From playlist Number Sense - Decimals, Percents, and Ratios
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23C3: A Natural Language Database Interface using Fuzzy Semantics
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Lisa Glaser: A picture of a spectral triple
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Isabelle Bloch - Hybrid AI for Knowledge Representation and Model-based Image Understanding - (...)
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From playlist 8th edition of the Statistics & Computer Science Day for Data Science in Paris-Saclay, 9 March 2023
This video is a full introduction to equivalence relations. Timestamps: 0:00 What is a relation? 3:02 Terminology - A Relation defined on a Set 4:02 Equivalence Relation Definition 7:18 Reflexive 9:18 Symmetric 11:48 Transitive Thanks for watching! Comment below with questions, and make
From playlist Proofs
Constraints on (Fuzzy) Dark Matter Microphysics from Dwarf Galaxies by Ethan Nadler
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From playlist Less Travelled Path of Dark Matter: Axions and Primordial Black Holes (Online)
22C3: A way to fuzzy democracy
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Pawel Grzegrzolka - Asymptotic dimension of fuzzy metric spaces
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From playlist 38th Annual Geometric Topology Workshop (Online), June 15-17, 2021
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From playlist Space Time Matrices
How do you determine if you have a linear equation
http://www.freemathvideos.com n this video series I show you how to determine if a relation is a linear relation. A linear relation is a relation where their are variables do not have negative or fractional, or exponents other than one. Variables must not be in the denominator of any rat
From playlist Write Linear Equations
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Join Kaggle data scientist Rachael live as she works on data science projects! See all previous livestreams here: https://www.youtube.com/watch?v=i92VI289zWw&list=PLqFaTIg4myu9f21aM1POYVeoaHbFf1hMc SUBSCRIBE: http://www.youtube.com/user/kaggledotcom?sub_confirmation=1&utm_medium=youtube&
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