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Trends on dominations of fuzzy graphs and anti fuzzy graphs
AIP Conference Proceedings, 2021After introducing and developing fuzzy graph theory, a lot of studies have been done in this field. The object of this paper is to demonstrate various Dominations such as Edge domination, Total domination, Strong (weak) domination, Regular domination, connected domination, Split (non-split) domination in fuzzy graphs with their importance and ...
Maddur Srinivas +4 more
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Hesitant fuzzy graphs, hesitant fuzzy hypergraphs and fuzzy graph decisions1
Journal of Intelligent & Fuzzy Systems, 2021Up to now, there have been a lot of research results about multi-attribute decision making problems by fuzzy graph theory. However, there are few investigations about multi-attribute decision making problems under the background of indecisiveness. The main reason is that the difference of cognition and the complexity of thinking by decision makers, for
Zengtai Gong, Junhu Wang
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Graph fuzzy homomorphism interpreted as fuzzy association graphs
Proceedings 15th International Conference on Pattern Recognition. ICPR-2000, 2002A new generic definition of graph fuzzy morphism is introduced that includes classical graph related problem definitions as sub-cases. Two practical interpretations as well as some properties are discussed. This definition is a first attempt towards a unified theoretic framework for graph morphism.
Isabelle Bloch, A. Perchant
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Fuzzy colouring of fuzzy graphs
Afrika Matematika, 2015Colouring of fuzzy graphs has several applications in real world. In this paper, a new concept of colouring of fuzzy graphs has been introduced. Also, some important terms like strength cut graphs, fuzzy colour, chromatic number of fuzzy graphs have been described. Some relevant results are proved.
Tarasankar Pramanik +2 more
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Fuzzy coloring for fuzzy graphs
10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297), 2002In this paper the questions of coloring of fuzzy graphs are observed. Definitions of separation degree and fuzzy chromatic set of fuzzy graphs are presented. A method for finding fuzzy chromatic set is suggested and substantiated.
A.V. Bozhenuk, L.S. Bershtein
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Fuzzy Relations and Fuzzy Graphs [PDF]
, 1985 Fuzzy relations are fuzzy subsets of X × Y, that is, mappings from X → Y. They have been studied by a number of authors, in particular by Zadeh [1965, 1971], Kaufmann [1975], and Rosenfeld [1975]. Applications of fuzzy relations are widespread and important. We shall consider some of them and point to more possible uses at the end of this chapter.
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FUZZY INTERSECTION GRAPHS OF FUZZY SEMIGROUPS
New Mathematics and Natural Computation, 2006Let S be a semigroup. This paper studies the intersection graphs of fuzzy semigroups. It is shown that the fuzzy intersection graph Int(G(S)), of S, is complete if and only if S is power joined. If Γ(S) denotes the set of all fuzzy right ideals of S, then the fuzzy intersection graph Int(Γ(S)) is complete if and only if S is fuzzy right uniform ...
M. K. SEN, G. CHOWDHURY, D. S. MALIK
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Fuzzy multilevel graph embedding
Pattern Recognition, 2013Structural pattern recognition approaches offer the most expressive, convenient, powerful but computational expensive representations of underlying relational information. To benefit from mature, less expensive and efficient state-of-the-art machine learning models of statistical pattern recognition they must be mapped to a low-dimensional vector space.
Luqman, Muhammad Muzzamil +3 more
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Fuzzy Graphs and Fuzzy Hypergraphs
2009Graph theory has numerous application to problems in systems analysis, operations research, economics, and transportation. However, in many cases, some aspects of a graph-theoretic problem may be uncertain. For example, the vehicle travel time or vehicle capacity on a road network may not be known exactly.
Leonid S. Bershtein +1 more
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New Mathematics and Natural Computation, 2018
Edges of a fuzzy graph are mainly classified into [Formula: see text], [Formula: see text] and [Formula: see text]. In this paper, we study certain saturation counts with respect to the classification of edges. Characterizations for fuzzy cycles, fuzzy trees, blocks in fuzzy graphs and complete fuzzy graphs are also obtained using saturation counts.
Hai Long Yang +2 more
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Edges of a fuzzy graph are mainly classified into [Formula: see text], [Formula: see text] and [Formula: see text]. In this paper, we study certain saturation counts with respect to the classification of edges. Characterizations for fuzzy cycles, fuzzy trees, blocks in fuzzy graphs and complete fuzzy graphs are also obtained using saturation counts.
Hai Long Yang +2 more
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