Bike Trail Difficulty Rating in the South Moravian Region Modelled Using Fuzzy Sets

Pavel Kolisko

doi:10.14311/gi.11.1

Abstract

The fuzzy sets are more suitable for modelling of the vagueness than the classical crisp sets. They present vague phenomenon and relations which are not exactly bounded but they are associated with their verbal expression. Inaccuracies of characteristics of the bike trail difficulty are connected to the area changes and it is necessary to evaluate and update them regularly. The analysis is solved by the compositional rule of inference methods especially by Mamdani’s and Larsen’s method. The difficulty is the result of rules processing with verbal variables for the type of road and slope. The suitability of methods is tested by certified and categorized parts of the bike trails. The modelling has been performed by rasters using software ArcGIS 10.1 and its geoprocessing tools.

Highlights

The term “fuzzy“ is used in meaning of wispy, unclear, misty, vague, uncertain [1]
According to finding degree of comparison between premise X is A in the rule and current observing X is A it happens modification conclusion Y is B in the rule and getting value B of variable Y
We use the compositional rule of inference for assignment value B of variable Y, which corresponds with value A of variable X

Summary

Introduction

The term “fuzzy“ is used in meaning of wispy, unclear, misty, vague, uncertain [1]. We can describe the phenomenon exactly and clearly, we often utilize unclear, unconfined terms in usual life. We apply terms as moderate slope, near the road. We speak about “linguistic variables” (slope, road) which assume linguistic values (moderate, near) [2]. We sometimes modify linguistic terms by adding expressions called hedges, for example very moderate slope, slightly near the road. We are able to model real situations better using fuzzy sets, sets with unclear boundary. Each element is in the set more or less. It is indicated by a degree of membership to a fuzzy set expressed by value between zero and one

Objectives

Methods

Conclusion