Binary Functions and Their Applications (Lecture Notes in Economics & Mathematical Systems) - Softcover

Buch 80 von 126: Lecture Notes in Economics and Mathematical Systems

Stormer, Horand

 
9780387528120: Binary Functions and Their Applications (Lecture Notes in Economics & Mathematical Systems)

Inhaltsangabe

In this book binary functions and their representation by implicants or implicates are described. In particular minimal representations by prime implicants or prime implicates are given. Such representations generalize the minimal representations of the usual Boolean functions. It is shown that implicants (implicates) of discrete functions may be constructed with the help of implicants (implicates) of binary functions. One substantial application is the description of the reliability structure of technical systems, another is the use of binary respectively discrete functions to classify objects which are described by the grades of certain attributes. Finally a class of Boolean algebras of practical importance (set algebras, indicator algebras, algebras of classes of propositions) are considered. The elements of such algebras have representations which are strongly connected with the representations of binary functions.

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9783540528128: Binary Functions and their Applications (Lecture Notes in Economics and Mathematical Systems, Band 348)

Vorgestellte Ausgabe

ISBN 10:  3540528121 ISBN 13:  9783540528128
Verlag: Springer, 2013
Softcover