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Examples of the Implementation of Fuzzy
Models in Tourism in the South
Moravian Region
Pavel Kolisko
Abstract In geospatial information systems we often come across concepts
expressing imprecision, incompleteness, uncertainty or vagueness, just like in
everyday life. The degree of uncertainty or vagueness can be expressed through
fuzzy set theory by membership functions. The fuzzy sets are more suitable for
modelling of the vague phenomena than the classical crisp sets. We ordinarily
nd
out spatial features which are not exactly bounded but are verbally determined.
There are two examples of fuzzy exploitation in the South Moravian Region in this
paper. Multicriteria decision making of tourism areas uses elementary fuzzy logic
knowledge and assessment of bike trail dif
culty which is considered according to
the compositional rule of inference especially by Mamdani
'
s method and defuzz-
i
cation processes. The analyses apply the raster modelling using software ArcGIS
10.1, geoprocessing tools and programming language Python.
Keywords GIS
Fuzzy set
Fuzzy logic
Multicriteria decision making
Fuzzy
inference
Modus ponens
Compositional rule of inference
Defuzzification
Centroid
Center of gravity
Center of sums
1 Introduction
The term
was described by Lofti A. Zadeh in 1965. This many-valued
logic characterizes wispy, unclear, vague, uncertain meaning [ 1 ]. In usual life we
utilize uncon
fuzzy logic
ned terms such as steep slope, near the forest. We can speak about
with linguistic values [ 2 ]. Real situations are modelled better
by using fuzzy sets with uncertain boundary. Each element is in the set more or less.
It is indicated by a degree of membership to a fuzzy set, by value between zero and
linguistic variables
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