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Decision-making analysis based on q-rung picture fuzzy graph structures

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Abstract

In this research article, we introduce the notion of q-rung picture fuzzy graph structures (q-RPFGSs). Further, we present the concepts of \(S_{i}\)-strongly regular q-RPFGSs and \(S_{i}\)-uniform q-RPFGSs. We study \(S_{i}\)-bipartite q-RPFGSs and \(S_{i}\)-r-partite q-RPFGSs and investigate some useful results of their \(S_{i}\)-regularity. In addition, we discuss drug trafficking in particular region by using complete 6-partite 15-RPFGS. Moreover, power and economy based dominating relationships of developed countries with rich, progressing and underdeveloped countries are represented by a 4-partite 12-RPFGS. Finally, we describe general procedures of our proposed models by algorithms.

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Authors and Affiliations

  1. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Muzzamal Sitara, Muhammad Akram & Muhammad Riaz

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  1. Muzzamal Sitara
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  2. Muhammad Akram
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  3. Muhammad Riaz
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Correspondence to Muhammad Akram.

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Sitara, M., Akram, M. & Riaz, M. Decision-making analysis based on q-rung picture fuzzy graph structures. J. Appl. Math. Comput. 67, 541–577 (2021). https://doi.org/10.1007/s12190-020-01471-z

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