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2021 | OriginalPaper | Buchkapitel

4. Bipolar Fuzzy Competition Graphs

verfasst von : Muhammad Akram, Musavarah Sarwar, Wieslaw A. Dudek

Erschienen in: Graphs for the Analysis of Bipolar Fuzzy Information

Verlag: Springer Singapore

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Abstract

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 graphs. We describe various methods for the construction of bipolar fuzzy competition graphs of certain products of bipolar fuzzy digraphs. Using various constraints, we study the relations of bipolar fuzzy \([\textit{\textbf{k}}]-\)competition graphs, bipolar fuzzy \((\textit{\textbf{k}})-\)competition graphs, and underlying bipolar fuzzy graphs. We elaborate certain algorithms to compute the strength of competition with a number of real-world applications in different fields including food webs, business marketing, politics, wireless communication networks, and social networking.

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Metadaten
Titel
Bipolar Fuzzy Competition Graphs
verfasst von
Muhammad Akram
Musavarah Sarwar
Wieslaw A. Dudek
Copyright-Jahr
2021
Verlag
Springer Singapore
DOI
https://doi.org/10.1007/978-981-15-8756-6_4