A Short Course for Fuzzy Set Theory

  • Sadaaki Miyamoto
Part of the Computer Science Workbench book series (WORKBENCH)


Intuitively, a set is any collection of objects. Many examples are found in the real world and in mathematical theories. There are two main ways of defining a set. One is to list up objects that constitutes a set. For example, {John, Mary, Thomas} is a set of the three objects: John, Mary, and Thomas. We can think that these three objects are mere words or names indicating three real persons. Usually we give a name, say X, to the collection: X = {John, Mary, Thomas}, and we refer to X instead of listing up all the objects after we have given the name. Thus, in an abstract manner a set X = {x;1, x 2, … ,x n x is the collection of χ1, x 2,… ,x n.


Membership Function Fuzzy Number Modal Logic Fuzzy Relation Possibility Distribution 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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© Springer-Verlag Tokyo 2000

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  • Sadaaki Miyamoto

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