The purpose of this thesis is to investigate the properties of the combination of graph theory and fuzzy set theory called fuzzy graph. The crisp and fuzzy graphs are compared. The operations on fuzzy relations are performed. The max-min and max-product compositions of fuzzy relations are illustrated. α-cut of fuzzy relations is presented. The different types of fuzzy relations are investigated. The Cartesian product, union and join operations on fuzzy graph are studied. Such properties of fuzzy graph as fuzzy and partial fuzzy subgraphs, complement of fuzzy graph, degrees and total degrees of vertices of fuzzy graph, regular and totally regular fuzzy graphs, complete fuzzy graph, and fuzzy tree are analyzed. ; ÖZ: Bu tezin amacı graf teorisi ve bulanık küme teorisinin sentezi olan bulanık grafın özellilerini araştırmaktır. Keskin ve bulanık bağıntılar kıyaslanır. Bulanık bağıntılar üzerinde operasyonlar irdelenir. Bulanık bağıntıların max-min ve max-çarpım bileşimleri gösterilir. Bulanık bağıntının alfa-kesimi sunulur. Farklı türde bulanık bağıntılar araştırılır. Bulanık graflar üzerinde Kartezyen çarpımı, bileşim ve birleştirme operasyonları irdelenir. Bulanık grafların bazı özellikleri – bulanık ve kısmi bulanık alt graflar, bulanık küme tümlemesi, bulanık grafın dügümlerinin dereceleri ve toplam dereceleri, düzenli ve tamamen düzenli bulanık graflar, tam bulanık graf ve bulanık ağaç gibi kavramlar incelenir. ; Master of Science in Applied Mathematics and Computer Science. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Mathematics, 2017. Supervisor: Prof. Dr. Rashad Aliyev.


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    Titel :

    Analysis of Properties of Fuzzy Graphs



    Erscheinungsdatum :

    01.01.2017


    Medientyp :

    Hochschulschrift


    Format :

    Elektronische Ressource


    Sprache :

    Englisch



    Klassifikation :

    DDC:    629 / 511



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