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Some Root Level Modifications in Interval Valued Fuzzy Graphs and Their Generalizations Including Neutrosophic Graphs

Naeem Jan Kifayat UllahTahir Mahmood Harish GargBijan Davvaz Arsham Borumand SaeidSaid Broumi

出版	Infinite Study
主題	Mathematics / Applied
URL	http://books.google.com.hk/books?id=Q-zUDwAAQBAJ&hl=&source=gbs_api
EBook	SAMPLE

註釋

Fuzzy graphs (FGs) and their generalizations have played an essential role in dealing with real-life problems involving uncertainties. The goal of this article is to show some serious flaws in the existing definitions of several root-level generalized FG structures with the help of some counterexamples. To achieve this, first, we aim to improve the existing definition for interval-valued FG, interval-valued intuitionistic FG and their complements, as these existing definitions are not well-defined; i.e., one can obtain some senseless intervals using the existing definitions. The limitations of the existing definitions and the validity of the new definitions are supported with some examples.