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Erschienen in: Journal of Applied Mathematics and Computing 1-2/2019

19.03.2019 | Original Research

q-rung picture fuzzy graphs: a creative view on regularity with applications

verfasst von: Muhammad Akram, Amna Habib

Erschienen in: Journal of Applied Mathematics and Computing | Ausgabe 1-2/2019

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Abstract

The q-rung picture fuzzy set model, superior to picture and spherical fuzzy set models, broaden the space of uncertain and vague information due to its outstanding feature of vast depiction space of admissible triplets. In this paper, we introduce the notion of q-rung picture fuzzy graphs and discuss regularity of these graphs. We present geometrical interpretation under q-rung picture fuzzy environment. We illustrate strongly regular, perfectly regular and regular uniform q-rung picture fuzzy graphs. Motivated by some real world situations, we propose the novel concept of m-partite q-rung picture fuzzy graphs with several insightful results on their regularity, named as m-regularity. Moreover, we introduce q-rung picture fuzzy line graphs and develop a necessary condition for regular q-RPFLGs. In addition, we present an application to investigate this broad representation space in graph-theoretical concepts.

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Metadaten
Titel
q-rung picture fuzzy graphs: a creative view on regularity with applications
verfasst von
Muhammad Akram
Amna Habib
Publikationsdatum
19.03.2019
Verlag
Springer Berlin Heidelberg
Erschienen in
Journal of Applied Mathematics and Computing / Ausgabe 1-2/2019
Print ISSN: 1598-5865
Elektronische ISSN: 1865-2085
DOI
https://doi.org/10.1007/s12190-019-01249-y

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