ENGLISH

Binary Functions and their Applications

By Prof. Dr. Horand Störmer (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1990
ISBN
978-3-540-52812-8, 978-3-642-61519-1
DOI
10.1007/978-3-642-61519-1
Language
english
Format
PDF
Filesize
8 MB (8580053 bytes)
Series
Lecture Notes in Economics and Mathematical Systems 348
Edition
1
Pages
156\159
Time added
2013-12-12 02:00:00
Economic Theory

Description

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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