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Fuzzy Graphs and Fuzzy Hypergraphs
2020Relationship is the core building block of a network, and today's world advances through the complex networks. Graph theory deals with such problems more efficiently. But whenever vagueness or imprecision arises in such relationships, fuzzy graph theory helps. However, fuzzy hypergraphs are more advanced generalization of fuzzy graphs.
Michael G. Voskoglou +1 more
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Generalized fuzzy Euler graphs and generalized fuzzy Hamiltonian graphs
Journal of Intelligent & Fuzzy Systems, 2018Graph theory includes two unavoidable graphs, namely Euler graphs and Hamiltonian graphs. In this study, generalized fuzzy Euler graphs (GFEGs) and generalized fuzzy Hamiltonian graphs (GFHGs) are defined to express uncertain system like routes, networks. Here, even degrees of all vertices of graphs do not assure that the graphs are GFEG.
Samanta, Sovan, Sarkar, Biswajit
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Fuzzy End Nodes in Fuzzy Incidence Graphs
New Mathematics and Natural Computation, 2017The notion of a fuzzy end node in fuzzy incidence graphs is developed in this article. The concept of a fuzzy incidence graph is new and should be very useful in applications in fuzzy graphs and fuzzy networks. Relationships between weak incidence pairs and fuzzy incidence end nodes and fuzzy incidence cut vertices are developed.
Mordeson, John N., Mathew, Sunil
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Fuzzy closed graph fuzzy multifunctions
Fuzzy Sets and Systems, 2000zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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1993
For representation of imprecise knowledge, conceptual graphs (CGs) are extended by introduction of fuzzy set theory into the components concepts and conceptual relations. The fuzzy operator , operations such as join, maximal join, projection are defined and basic inference rules established.
Vilas Wuwongse, Mario Manzano
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For representation of imprecise knowledge, conceptual graphs (CGs) are extended by introduction of fuzzy set theory into the components concepts and conceptual relations. The fuzzy operator , operations such as join, maximal join, projection are defined and basic inference rules established.
Vilas Wuwongse, Mario Manzano
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2017
In 1994, Zhang (Proceedings of FUZZ-IEEE, 1998) [195], (Proceedings of IEEE conference, 1994) [71] introduced the concept of bipolar fuzzy sets as a generalization of the notion of Zadeh’s fuzzy sets. A bipolar fuzzy subset of a set is a pair of functions one from the set into the interval [0, 1] and the other into the interval \([-1,0].\) In a bipolar
Sunil Mathew +2 more
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In 1994, Zhang (Proceedings of FUZZ-IEEE, 1998) [195], (Proceedings of IEEE conference, 1994) [71] introduced the concept of bipolar fuzzy sets as a generalization of the notion of Zadeh’s fuzzy sets. A bipolar fuzzy subset of a set is a pair of functions one from the set into the interval [0, 1] and the other into the interval \([-1,0].\) In a bipolar
Sunil Mathew +2 more
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Fuzzy Relations and Fuzzy Graphs
1985Fuzzy 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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2018
We introduce the notion of the degree of incidence of a vertex and an edge in a fuzzy graph in fuzzy graph theory. We concentrate on incidence, where the edge is adjacent to the vertex. We determine results concerning bridges, cutvertices, cutpairs, fuzzy incidence paths, fuzzy incidence tree for fuzzy incidence graphs. In (Dinesh, Ph.D. thesis, Kannur
John N. Mordeson +2 more
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We introduce the notion of the degree of incidence of a vertex and an edge in a fuzzy graph in fuzzy graph theory. We concentrate on incidence, where the edge is adjacent to the vertex. We determine results concerning bridges, cutvertices, cutpairs, fuzzy incidence paths, fuzzy incidence tree for fuzzy incidence graphs. In (Dinesh, Ph.D. thesis, Kannur
John N. Mordeson +2 more
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Balanced picture fuzzy graph with application
Artificial Intelligence Review, 2021Sk Amanathulla +2 more
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