A fuzzy Kohonen classifier

Author

Sprekelmeyer, U. ; Tenhagen, A. ; Lippe, Wolfram-M

Author_Institution

Inst. fur Inf., Westfalischen Wilhelms-Univ., Munster, Germany

Volume

2

fYear

2000

fDate

2000

Firstpage

572

Abstract

Several ways of combining concepts of fuzzy set theory with connectionist methods are known. We focus on the use of fuzzy numbers in neural networks. Our goal is to create a fully fuzzified Kohonen-layer which receives fuzzy numbers as inputs and computes its output employing fuzzy weights. The main problem is the determination of the winning neuron by the exclusive use of special, “monotonic” fuzzy operations, which guarantee a certain “goodness” of the input/output behaviour. A selection-function is introduced for solving this problem. Furthermore, we formulate a fuzzified version of the standard learning rule, that can be applied on the fuzzified Kohonen neurons

Keywords

fuzzy neural nets; fuzzy set theory; learning (artificial intelligence); pattern classification; self-organising feature maps; Kohonen-layer; fuzzy neural networks; fuzzy set theory; fuzzy weights; learning rule; pattern classification; Arithmetic; Error correction; Fuzzy neural networks; Fuzzy sets; Neural networks; Neurons; Set theory; Stability analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Fuzzy Systems, 2000. FUZZ IEEE 2000. The Ninth IEEE International Conference on

Conference_Location

San Antonio, TX

ISSN

1098-7584

Print_ISBN

0-7803-5877-5

Type

conf

DOI

10.1109/FUZZY.2000.839056

Filename

839056