q-Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem

The q-rung orthopair fuzzy set is a powerful tool for depicting fuzziness and uncertainty, as compared to the Pythagorean fuzzy model. The aim of this paper is to present q-rung orthopair fuzzy competition graphs (q-ROFCGs) and their generalizations, including q-rung orthopair fuzzy k-competition gr...

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Bibliographic Details
Published in:Mathematics (Basel) 2019-01, Vol.7 (1), p.91
Main Authors: Habib, Amna, Akram, Muhammad, Farooq, Adeel
Format: Article
Language:English
Subjects:
Algorithms
Competition
competition number
Ecosystems
Fuzzy sets
Graphs
m-step competition number
q-rung orthopair fuzzy clique
q-rung orthopair fuzzy competition graphs
soil ecosystem
Soils
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Summary:The q-rung orthopair fuzzy set is a powerful tool for depicting fuzziness and uncertainty, as compared to the Pythagorean fuzzy model. The aim of this paper is to present q-rung orthopair fuzzy competition graphs (q-ROFCGs) and their generalizations, including q-rung orthopair fuzzy k-competition graphs, p-competition q-rung orthopair fuzzy graphs and m-step q-rung orthopair fuzzy competition graphs with several important properties. The study proposes the novel concepts of q-rung orthopair fuzzy cliques and triangulated q-rung orthopair fuzzy graphs with real-life characterizations. In particular, the present work evolves the notion of competition number and m-step competition number of q-rung picture fuzzy graphs with algorithms and explores their bounds in connection with the size of the smallest q-rung orthopair fuzzy edge clique cover. In addition, an application is illustrated in the soil ecosystem with an algorithm to highlight the contributions of this research article in practical applications.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7010091