fuzzy graph theory
Fuzzy Graph Theory: A Survey
... of fuzzy graphs made in this report is far from being complete ...of graph theory and the interdisciplinary nature of fuzzy set theory, if properly blended together could pave a way for ...
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Strong Fuzzy Chromatic Polynomial (SFCP) of Fuzzy Graphs and Some Fuzzy Graph Structures with Applications
... In fuzzy graph theory, strong arcs have separate ...the fuzzy graph is strong ...strong fuzzy chromatic polynomial (SFCP) of a fuzzy graph based on strong ...a ...
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Matrix Representation of Double Layered Fuzzy Graph and its Properties
... of fuzzy set was introduced by Zadeh in 1965. Fuzzy graph theory was introduced by Rosenfeld in 1975 ...by fuzzy logical operations are fuzzy matrices. Fuzzy matrices play ...
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International Journal of Scientific Research and Reviews The Rank of A Fuzzy Magic Graphs With Adjacency Matrix
... A fuzzy set is defined mathematically by assigning a value to each possible individual in the universe of discourse, representing its grade of membership which corresponds to the degree to which that individually ...
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The Rank of A Fuzzy Magic Graphs With Adjacency Matrix
... A fuzzy set is defined mathematically by assigning a value to each possible individual in the universe of discourse, representing its grade of membership which corresponds to the degree to which that individually ...
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Vol 6, No 12 (2015)
... Fuzzy graph theory was introduced by Azriel Rosenfeld in ...particular, fuzzy coloring plays a vital role in fuzzy graph ...paper, fuzzy chromatic number of middle ...
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1-Quasi Total Fuzzy Graph and Its Total Coloring
... The fuzzy graph theory, its properties, total coloring and applications are currently climbing ...of fuzzy graph, total fuzzy graph is defined and its properties as well ...
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Mixed Range-Valued Fuzzy Threshold Graph Colouring T. Jaculin 1, B. Srividhya M. Sc M. Phil2
... Interval-valued fuzzy graph theory has been introduced by Zadeh in ...Interval-valued fuzzy graph is better than a crisp graph ...in fuzzy graphs and their properties[2]. ...
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Fuzzy autocatalytic set of fuzzy graph type-3 based on functional analysis theory
... a fuzzy normed cycle space of FACS that will be presented in this ...a fuzzy norm in a fuzzy graph theory setting is established and interpreted the catalytic chain reaction between two ...
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Strong Chromatic Number of Fuzzy Graphs
... paper fuzzy sets [13]. Fuzzy graph theory is now finding numerous applications in modern science and technology especially in the fields of information theory, neural networks, expert ...
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Vertex Domination Number in S-valued Graphs
... crisp graph theory and fuzzy graph theory, bounds for vertex domination numbers have been obtained by several authors ([5 ], [9], ...valued graph theory developed in [4] ...
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PRODUCT OF BIPOLAR INTUITIONISTIC FUZZY GRAPHS AND THEIR DEGREE
... of fuzzy graphs and ...two fuzzy graphs was defined by Mordeson and Peng ...intuitionistic fuzzy set as a generalization of fuzzy ...of fuzzy graph. The fuzzy relations ...
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Perfectly Regular and Perfectly Edge-regular Fuzzy Graphs
... of fuzzy graphs, perfectly regular and perfectly edge-regular fuzzy graphs, that link fuzzy graph theory to graph theory in several important aspects, most notably by ...
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Laplacian Energy of a Fuzzy Graph
... the graph. The properties of the spectrum of a graph are related to the properties of the ...of graph theory that deals with this is called spectral graph ...a graph first ...
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Edge domination in fuzzy graphs using strong arcs
... A fuzzy subgraph 𝐻 = (𝜏, 𝜌) is said to be a spanning subgraph of G = (𝜎, 𝜇) if 𝜏(𝑢) = 𝜎(𝑢) for all u in ...same fuzzy node set, but they differ only in the arc ...
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Product fuzzy distance two labeling graph and its properties
... of graph theory for taking care of combinatorial problems in various regions, for example, operation research, structural and electrical engineering, num- ber theory, topology, algebra and computer ...
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Edge degree set of a fuzzy graph
... be fuzzy graphic sequence if there exists a graph G whose and G is called realization of ...crisp graph theory there is no perfect degree sequence. But fuzzy graphs may have perfect ...
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Notes on Fuzzy Graph
... 1.1 Definition: Let X be any nonempty set. A mapping M: X [0,1] is called a fuzzy subset of X. 1.2 Example: A fuzzy subset A = { (a, 0.3), (b, 0.4), (c, 0.6) } of a set X = { a, b, c }. 1.3 Definition: ...
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(1, 2) -Vertex Domination in Fuzzy Graphs
... In a ladder fuzzy graph, there are 2n vertices and 3n-2 edges. The n vertices in one rail form a (1.2) - dominating set. If n is even the number of inner rungs will be n/2 even. And the vertices of these ...
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Integration of Graph Theory and Matrix Approach with Fuzzy AHP for Equipment Selection
... using fuzzy ratios instead of crisp values. Chang (1996) developed a fuzzy extent analysis for AHP, which has similar steps as that of Saaty's crisp ...other fuzzy AHP approaches. In this paper, ...
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