Sets and Venn Diagrams



What is a Venn Diagram?


Everything inside the black outline of the rectangle is defined as the “universal set” or U.

Set U is the main set and then there are subsets.
The blue circle is one subset and the purple is another subset of U.


The Diagram


Each circle is a set representing its own collection of elements.

The purpose of the Venn diagram is to show the relationship between any two or more sets ....etc

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Using Texture and Shape Features to retrieve sets of similar Medical Images (Java)
IEEE Proceedings on Biomedical Engineering - Applications, Basis & Communications, Volume 15, No. 5,

Abstract:
In this paper, a novel scheme has been proposed for image retrieval task using the feature extracted directly from a compressed or uncompressed image. The texture information is first extracted by exploiting the multi-resolution nature of wavelet decomposition, which represent the horizontal, vertical and diagonal frequency distribution of ....etc

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GRID SERVICE DISCOVERY WITH ROUGH SETS-- KNOWLEDGE AND DATA ENGINEERING

Abstract: A rough set is a formal approximation of a crisp set (conventional set) in terms of a pair of sets which give the lower and the upper approximation of the original set. The lower and upper approximation sets themselves are crisp sets in the standard version of rough set theory, but in other variations, the approximating sets may be fuzzy sets as well. The computational grid is rapidly evolving into a service-oriented computing infrastructure that facilitates r ....etc

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Fuzzy Logic and Fuzzy Sets 


History


Lotfi Zadeh, at the University of California at Berkeley, first presented fuzzy logic in the mid-1960's.

Zadeh developed fuzzy logic as a way of processing data. Instead of requiring a data element to be either a member or non-member of a set, he introduced the idea of partial set membership.

In 1974 Mamdani and Assilian used fuzzy logic to regulate a steam engine.

In 1985 researchers at Bell laboratories ....etc

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