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Description

Class supporting operation on fuzzy sets first and second type.

Fuzzy reasoning XML Specification

Fuzzy set main parameters:

scale - LINEAR or LOGARITHMIC

type - set type (FIRST or SECOND)

length - distance between the points that characterize the lower and upper functions of belonging

prob - lower limit for fuzzy set

Trapezoid

a, b, c and d - trapezoid parameters

Fig 1. Trapezoid parameters

<?xml version="1.0" encoding="UTF-8" standalone="yes"?>
<paramTrapezoid>
    <scale>LINEAR</scale>
    <type>SECOND</type>
    <a>0.1</a>
    <b>0.2</b>
    <c>0.3</c>
    <d>0.4</d>
    <length>0.04</length>
    <prob>0.05</prob>
</paramTrapezoid>

Triangle

a, b and c - triangle parameters

[PL] Materiały związane z fazą modelowania

Literature

1. Kacprzyk J.: Zbiory rozmyte w analizie systemowej, Państwowe Wydawnictwo Naukowe, Warszawa, 1986.

2. Kenarangui R.: Event-tree analysis by fuzzy probability, IEEE Transactions on Reliability, 1991, Vol. 40 No. 1, p. 120-124.

3. Rutkowska D., Piliński M., Rutkowski L.: Sieci neuronowe, algorytmy genetyczne i systemy rozmyte, Wydawnictwo Naukowe PWN, Warszawa-Łódź, 1997.

4. Rutkowski L., Metody i techniki sztucznej inteligencji, Wydawnictwo Naukowe PWN, Warszawa 2011.

5. Tanaka H., Fan L.T., Lai F. S., Toguchi K.: Fault-tree analysis by fuzzy probability, IEEE Transactions on Reliability, 1983, Vol. 32 No. 5, p. 453-457.

6. Tyagi S. K., Pandey D., Tyagi R.: Fuzzy set theoretic approach to fault tree analysis, International Journal of Engineering, Science and Technology, 2010, Vol. 2 No. 5, p. 276-283.

22. Fuzzy reasoning