Journal ArticleDOI
Geodesies in Fuzzy Graphs
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It is proved that the center of a fuzzy tree consists of either a single node or two nodes joined by a strong arc, and that in a fuzzy Tree, every triple of nodes has a unique median, but not conversely.About:
This article is published in Electronic Notes in Discrete Mathematics.The article was published on 2003-05-01. It has received 44 citations till now.read more
Citations
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Journal ArticleDOI
Types of arcs in a fuzzy graph
Sunil Mathew,M. S. Sunitha +1 more
TL;DR: The relation between strong paths and strongest paths in a fuzzy graph is analyzed and characterizations for fuzzy bridges, fuzzy trees and fuzzy cycles are obtained using the concept of @a-strong, @b-strong and @d-arcs.
Journal ArticleDOI
Node connectivity and arc connectivity of a fuzzy graph
Sunil Mathew,M. S. Sunitha +1 more
TL;DR: It is shown that @k=@k^' for a fuzzy tree and it is the minimum of the strengths of its strong arcs as well as the value of all these parameters are equal in a compete fuzzy graph.
Journal ArticleDOI
Wiener index of a fuzzy graph and application to illegal immigration networks
TL;DR: In this article Wiener index of various fuzzy graph structures like fuzzy trees and fuzzy cycles are discussed and relationship between connectivity index and Wiener Index of a fuzzy graph is studied.
Fuzzy Graph Theory: A Survey
M. S. Sunitha,Sunil Mathew +1 more
TL;DR: A fuzzy graph (f-graph) is a pair G : ( σ, �) where σ is a fuzzy subset of a set S andis a fuzzy relation on σ that is connected to a tree F, which is a tree where for all arcs (x, y) not i n F there exists a path from x to y in F whose strength is more than �( x, y).
Journal ArticleDOI
Connectivity index of a fuzzy graph and its application to human trafficking
TL;DR: This paper introduces two measures of connectivity called as connectivity index and average connectivity index of fuzzy graphs that can be used to determine the potential flow of a fuzzy graph.
References
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Journal ArticleDOI
Fuzzy sets and their applications to cognitive and decision processes
TL;DR: By providing a basis for a systematic approach to approximate reasoning, the theory of fuzzy sets may well have a substantial impact on scientific methodology in the years ahead, particularly in the realms of psychology, economics, law, medicine, decision analysis, information retrieval, and artificial intelligence.
Book
Product Graphs: Structure and Recognition
Wilfried Imrich,Sandi Klavzar +1 more
TL;DR: Basic Concepts.
Book
Fuzzy sets and their applications to cognitive and decision processes
TL;DR: Fuzzy sets are a class in which there may be a continuum of grades of membership as, say, in the class of long objects as mentioned in this paper, which underlie much of our ability to summarize, communicate, and make decisions under uncertainty or partial information.
Book
Fuzzy Graphs and Fuzzy Hypergraphs
TL;DR: Fuzzy Subsets: Fuzzy Relations.- FuzzY Equivalence Relations.- Pattern Classification.- Similarity Relations.- References.- fuzzy Graphs: Paths and Connectedness.