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Domination in bipolar fuzzy graphs [PDF]
2013 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2013 The concepts of cardinality, dominating set, independent set, total dominating number and independent dominating number of bipolar fuzzy graphs are introduced and investigated. The notion of an irredundance number of a bipolar fuzzy graph is also discussed.
M. G. Karunambigai +3 more
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Certain Types of Product Bipolar Fuzzy Graphs
International Journal of Applied and Computational Mathematics, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ganesh Ghorai +2 more
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Inverse domination in bipolar fuzzy graphs
Materials Today: Proceedings, 2021Abstract In this paper, we bring together the idea of an inverse domination in bipolar fuzzy graphs (BFG). A set I ⊆ V is supposed to be an inverse dominating set IDS in BFG’s G ( V , E ) if D ⊆ V is a dominating set of G and I ⊆ ( V - D ) is a dominating set of V - D .
P Revathy
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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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Bipolar Fuzzy Competition Graphs [PDF]
, 2020 In this chapter, we discuss the concept of bipolar fuzzy competition graphs and present several notions concerning bipolar fuzzy out neighborhoods, bipolar fuzzy in neighborhoods, bipolar fuzzy open neighborhood graphs, bipolar fuzzy closed neighborhood graphs, bipolar fuzzy \(\textit{\textbf{k}}-\)competition graphs, and underlying bipolar fuzzy ...
Muhammad Akram +2 more
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Application of Bipolar Fuzzy Sets in Planar Graphs
International Journal of Applied and Computational Mathematics, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Akram +2 more
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Energy of double dominating bipolar fuzzy graphs
Journal of Applied Mathematics and Computing, 2019zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Muhammad Akram +2 more
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Bipolar Fuzzy Planar Graphs [PDF]
, 2020 In this chapter, we study the concepts of bipolar fuzzy multisets, bipolar fuzzy multigraphs, strong and complete bipolar fuzzy multigraphs, bipolar fuzzy planar graphs, and bipolar fuzzy dual graphs. We discuss different types of bipolar fuzzy edges, intersection value and planarity value of bipolar fuzzy graphs, strong and weak bipolar fuzzy faces ...
Muhammad Akram +2 more
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Energy of Bipolar Fuzzy Graphs [PDF]
, 2020 In this chapter, we study the concept of energy of bipolar fuzzy graphs and present certain formulae, lower and upper bounds of Laplacian energy, signless Laplacian energy, dominating energy, out-dominating energy, double dominating energy, and double out-dominating energy of bipolar fuzzy graphs and bipolar fuzzy digraphs.
Muhammad Akram +2 more
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Bipolar Fuzzy Soft Graphs [PDF]
, 2019 In this chapter, we present a novel frame work for handling bipolar fuzzy soft information by combining the theory of bipolar fuzzy soft sets with graphs. We present certain notions of bipolar fuzzy soft graphs. We investigate some of their properties. We discuss several applications of the bipolar fuzzy soft graphs in multiple criteria decision-making
Muhammad Akram, Fariha Zafar
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