@phdthesis{digilib64970, month = {March}, title = {STRUKTUR GRAF FUZZY DAN APLIKASINYA}, school = {UIN SUNAN KALIJAGA YOGYAKARTA}, author = {NIM.: 20106010022 Ilma Nindita Ramadhani}, year = {2024}, note = {Pembimbing: Muhamad Zaki Riyanto, S.Si., M.Sc. dan Arif Munandar, M.Sc}, keywords = {Struktur Graf Fuzzy, Semi Strong Min-Product, Pengambilan Keputusan}, url = {https://digilib.uin-suka.ac.id/id/eprint/64970/}, abstract = {A fuzzy graph structure is an extension of graph structure and fuzzy graph. This research discusses several definitions and properties of the fuzzy graph structure including complete and strong fuzzy graph structure, connected fuzzy graph structure, and regular fuzzy graph structure. Furthermore, the semi strong minproduct of two fuzzy graph structures can be formed, then some theorems are discussed, especially those related to the degree and total degree of the resulting semi strong min-product. Furthermore, the application of the fuzzy graph structure in decision making is presented, namely decision making in the identification of travel services, which is based on the price rates of each agent. Through the algorithm, it is possible to determine the travel service from one city to another, based on the lowest ticket price.} }