Original title: Fuzzy teorie grafů
Translated title: Fuzzy graphs theory
Authors: Ducký, Patrik ; Zbořil, František (referee) ; Hliněná, Dana (advisor)
Document type: Bachelor's theses
Year: 2024
Language: slo
Publisher: Vysoké učení technické v Brně. Fakulta informačních technologií
Abstract: [slo] [eng]
Táto bakalárska práca sa venuje problematike fuzzy množín, fuzzy relácií a ich aplikácii vo fuzzy teórii grafov. V úvode je predstavená základná problematika fuzzy množín. Ďalšia časť práce je venovaná vlastnostiam fuzzy relácií a ich vzťahu k fuzzy grafom. Hlavnú časť práce tvorí klasické farbenie, frakcionálne farbenie grafov a ich fuzzifikácia. Na záver je predstavená aplikácia, ktorá dokáže poučiť užívateľa o frakcionálnom farbení fuzzy grafov, a zároveň dokáže vstupný fuzzy graf vyfarbiť. Cieľom tejto práce a aj aplikácie je prispieť k povedomiu o tejto problematike a možných využitiach v informatike. This bachelor thesis deals with the problems of fuzzy sets, fuzzy relations and their application in fuzzy graph theory. In the introduction, the basic problem of fuzzy sets is introduced. The next part of the thesis is devoted to the properties of fuzzy relations and their relation to fuzzy graphs. The main part of the thesis consists of classical coloring, fractional coloring of graphs and their fuzzification. Finally, an application is presented that can instruct the user on fractional coloring of fuzzy graphs, and at the same time can color the input fuzzy graph. The goal of this thesis and the application is to contribute to the awareness of this issue and its possible applications in computer science.
Keywords: coloring; fractional coloring; fuzzy graphs; fuzzy relations; fuzzy sets; triangular norms

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: https://hdl.handle.net/11012/246928

Permalink: http://www.nusl.cz/ntk/nusl-617558


The record appears in these collections:
Universities and colleges > Public universities > Brno University of Technology
Academic theses (ETDs) > Bachelor's theses