Relevant bibliographies by topics / Neighbourly irregular intuitionistic fuzzy graph

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Academic literature on the topic 'Neighbourly irregular intuitionistic fuzzy graph'

Author: Grafiati
Published: 3 June 2025
Last updated: 6 July 2025

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Journal articles on the topic "Neighbourly irregular intuitionistic fuzzy graph"

1

Akram, Muhammad, Noura Omair Alshehri, and Wieslaw A. Dudek. "Certain Types of Interval-Valued Fuzzy Graphs." Journal of Applied Mathematics 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/857070.

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We propose certain types of interval-valued fuzzy graphs including balanced interval-valued fuzzy graphs, neighbourly irregular interval-valued fuzzy graphs, neighbourly total irregular interval-valued fuzzy graphs, highly irregular interval-valued fuzzy graphs, and highly total irregular interval-valued fuzzy graphs. Some interesting properties associated with these new interval-valued fuzzy graphs are investigated, and necessary and sufficient conditions under which neighbourly irregular and highly irregular interval-valued fuzzy graphs are equivalent are obtained. We also describe the relationship between intuitionistic fuzzy graphs and interval-valued fuzzy graphs.
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2

R. Suja Kumari and K. Chithamparathanu Pillai. "The highly \(D_2\) – distance of irregular labeling fuzzy graphs on some special graphs." Malaya Journal of Matematik 8, no. 04 (2020): 2333–36. http://dx.doi.org/10.26637/mjm0804/0177.

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This paper states a new concept of highly \(D_2\)-distance of irregular labeling fuzzy graphs and highly totally \(D_2\) -distance of irregular labeling fuzzy graphs with a path on four vertices, Barbell graph and a cycle of length \(\geqslant 4\). Some properties related to neighbourly totally \(D_2\)-distance of irregular labeling fuzzy graphs, highly totally \(D_2\) -distance of irregular labeling fuzzy graphs and product fuzzy graphs are discussed with some special graphs. In addition, some more properties and examples of these graphs are studied. The highly \(D_2\)-distance of irregular labeling fuzzy graphs and neighbourly \(D_2\)-distance of irregular labeling fuzzy graphs are observed and viewed for highly totally \(D_2\)-distance of irregular labeling fuzzy graphs and neighbourly totally \(D_2\)-distance of irregular labeling fuzzy graphs.
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3

Gani, A. Nagoor, and R. Jahir Hussain. "Irregular Intuitionistic fuzzy graph." IOSR Journal of Mathematics 9, no. 6 (2014): 47–51. http://dx.doi.org/10.9790/5728-0964751.

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4

Narayanan, Ravi, and S. Murugesan. "Edge Irregular Intuitionistic Fuzzy Graph." International Journal of Mathematics and Soft Computing 7, no. 2 (2017): 15. http://dx.doi.org/10.26708/ijmsc.2017.2.7.02.

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5

Irani, Zahra Sadri, and Hossein Rashmanlou. "Certain Notions of Intuitionistic Fuzzy Graphs." Annals of Pure and Applied Mathematics 24, no. 01 (2021): 11–20. http://dx.doi.org/10.22457/apam.v24n1a02834.

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Fuzzy graph models enjoy the ubiquity of being in natural and human-made structures, namely dynamic process in physical, biological and social systems. As a result of inconsistent and indeterminate information inherent in real-life problems which are often uncertain, it is highly difficult for an expert to model those problems based on a fuzzy graph. Intuitionistic fuzzy graph (IFG) can deal with the uncertainty associated with the inconsistent and indeterminate information of any real-world problem, where fuzzy graphs may fail to reveal satisfactory results. Likewise, IFG has an important role in neural networks, computer network, and clustering. In the design of a network, it is important to analyze connections by the levels. In this paper, we describe d-regular, td-regular, m-highly irregular and m-highly totally irregular IFGs and prove the necessary and sufficient conditions which under this conditions the d-regular and td-regular IFGs are equivalent. Also, a comparative study between m-highly irregular IFG and m-highly totally irregular IFG are given.
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Xu, Peng, Hao Guan, A. A. Talebi, M. Ghassemi, and Hossein Rashmanlou. "Certain Concepts of Interval-Valued Intuitionistic Fuzzy Graphs with an Application." Advances in Mathematical Physics 2022 (April 19, 2022): 1–12. http://dx.doi.org/10.1155/2022/6350959.

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Interval-valued intuitionistic fuzzy graph (IVIFG), belonging to the FGs family, has good capabilities when facing with problems that cannot be expressed by FGs. When an element membership is not clear, neutrality is a good option that can be well supported by an IVIFG. The previous definitions of limitations in edge irregular FG have led us to offer new definitions in IVIFGs. Hence, in this paper, some types of edge irregular interval-valued intuitionistic fuzzy graphs (EI-IVIFGs) such as neighborly edge totally irregular (NETI), strongly edge irregular (SEI), and strongly edge totally irregular (SETI) are introduced. A comparative study between NEI-IVIFGs and NETI-IVIFGs is done. With the help of IVIFGs, the most efficient person in an organization can be identified according to the important factors that can be useful for an institution. Finally, an application of IVIFG has been introduced.
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7

Myithili, K. K., and R. Keerthika. "Regularity and duality of intuitionistic fuzzy k-partite hypergraphs." Notes on Intuitionistic Fuzzy Sets 29, no. 4 (2023): 401–10. http://dx.doi.org/10.7546/nifs.2023.29.4.401-410.

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A graph in which the edge can connect more than two vertices is called a Hypergraph. A ''k''-partite hypergraph is a hypergraph whose vertices can be split into ''k'' different independent sets. In this paper, regular, totally regular, totally irregular, totally neighborly irregular Intuitionistic Fuzzy ''k''-Partite Hypergraphs (IF''k''-PHGs) are defined. Also order and size along with the properties of regular and totally regular IF''k''-PHGs are discussed. It has been proved that the size <math>S(\mathscr{H})</math> of a ''r''-regular IF''k''-PHG is <math>\frac{tr}{2}</math> where <math>t=\left|V\right|</math>. The dual IF''k''-PHG has also been defined with example.
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8

Xiao, Wei, Arindam Dey, and Le Hoang Son. "A study on regular picture fuzzy graph with applications in communication networks." Journal of Intelligent & Fuzzy Systems 39, no. 3 (2020): 3633–45. http://dx.doi.org/10.3233/jifs-191913.

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Picture fuzzy graph (PFG) is an extended version of intuitionistic fuzzy graph (IFG) to model the uncertain real world problems, in which IFG may fail to model those problems properly. PFG is more precise, flexible and compatible than IFG to deal the real-life scenarios which consists of information these types: yes, abstain, no and refusal. The main focus of our study is to present the concept of isomorphic PFG, regular PFG (RPFG) and picture fuzzy multigraph. In this paper, we present the notation of RPFG. Many different types of RPFGs such as regular strong PFG, regular complete PFG, complete bipartite PFG and regular complement PFG are introduced. We also describe the concepts of dn and tdn-degree of a vertex in a RPFG. Based on those two types of degrees, we classify the regularity of PFG into 3 type’s namely, dn- RPFG, tdn-RPFG and n- highly irregular PFG. Several theorems of those RPFG are presented here. We define the busy vertex and free vertex in a RPFG. We present the notations of μ-complement, homomorphism, isomorphism, weak isomorphism and co weak isomorphism of RPFG. Some significant theorems on isomorphism and μ- complement of RPFG are derived here. We also introduce the notation of picture fuzzy multigraph. We present a mathematical model of communication network and transportation network by using picture fuzzy multigraph and real time data are collected so that the transportation network/communication network can work efficiently.
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9

S.Ravi, Narayanan. "2-Pseudo Neighbourly Irregular Intuitionistic Fuzzy Graphs." November 30, 2016. https://doi.org/10.5281/zenodo.826796.

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10

Maheswari, N.R. Santhi, and V. Jeyapratha. "Neighbourly Pseudo Irregular Fuzzy Graphs." May 25, 2019. https://doi.org/10.5281/zenodo.3228722.

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<strong>In this paper, neighbourly pseudo irregular fuzzy graphs and neighbourly pseudo totally irregular fuzzy graphs are defined. Comparative study between neighbourly pseudo irregular fuzzy graph and neighbourly pseudo totally irregular fuzzy graph is done. A necessary and sufficient conditions under which they are equivalent are provided. Also, few properties of neighbourly pseudo irregular fuzzy graphs and neighbourly pseudo totally irregular fuzzy graphs are discussed.</strong>
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