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

Amna Habib; Muhammad Akram; Adeel Farooq

doi:10.3390/math7010091

journal article Open Access Jan 16, 2019

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

Amna Habib

Muhammad Akram Adeel Farooq

Mathematics Vol. 7 No. 1 pp. 91 · MDPI AG

View at Publisher Save 10.3390/math7010091

Abstract

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.

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Details

Published: Jan 16, 2019
Vol/Issue: 7(1)
Pages: 91
License: View

Authors

A

Amna Habib

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan

M

Muhammad Akram

Department of Mathematics, University of the Punjab, New Campus, Lahore 54590, Pakistan

A

Adeel Farooq

Department of Mathematics, COMSATS University Islamabad, Lahore Campus 54590, Pakistan

Cite This Article

Amna Habib, Muhammad Akram, Adeel Farooq (2019). q-Rung Orthopair Fuzzy Competition Graphs with Application in the Soil Ecosystem. Mathematics, 7(1), 91. https://doi.org/10.3390/math7010091

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

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