Examples of the Implementation of Fuzzy Models in Tourism in the South Moravian Region - Geoinformatics for Intelligent Transportation - page 170

Bike trail difficulty

D 1 small dif culty — easy dif cult roads (suitable for families with children)

D 2 intermediate dif culty — more dif cult roads (suitable for recreational

sportsmen)

D 3 hard dif culty — very dif cult roads (suitable for athletes)

Rules P 1 : if X 1 is K 1 and X 2 is S 1 ; then Y is D 1

P 2 : if X 1 is K 2 and X 2 is S 1 ; then Y is D 1

P 3 : if X 1 is K 3 and X 2 is S 1 ; then Y is D 2

P 4 : if X 1 is K 1 and X 2 is S 2 ; then Y is D 2

P 5 : if X 1 is K 2 and X 2 is S 2 ; then Y is D 3

P 6 : if X 1 is K 3 and X 2 is S 2 ; then Y is D 3

X 1 is K 0 and X 2 is S 0 Observing

Y is D 0

Conclusion

The fuzzy sets K 1 ; K 2 ; K 3 were given by the bell-shaped membership function
Near (Midpoint 0, Spread 0.0001) available in the geoprocessing tools of ArcMap
in the category Fuzzy Membership (Fig. 9 ). The function expresses the close
localization of the road as a fuzzy line [ 9 ] in network of roads (x 1 — distance from

the road in meters).
Next figures show settings that define S 1 , S 2 and D 1 , D 2 , D 3 (Figs. 10 and 11 )
I applied and compared several regulators and defuzzi cation methods and did

the interpretation rule-by-rule. We declare w j as the total weight of the j-th rule

1

()

μ x =

1

2

1 + 0 0001 x

1

Fig. 9 Membership function for roads