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Picture Fuzzy Threshold Graphs with Application in Medicine Replenishment.

作者信息

Das Sankar, Ghorai Ganesh, Xin Qin

机构信息

Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India.

Department of Mathematics, Kharagpur College, Kharagpur 721305, India.

出版信息

Entropy (Basel). 2022 May 7;24(5):658. doi: 10.3390/e24050658.

DOI:10.3390/e24050658
PMID:35626543
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9140811/
Abstract

In this study, a novel concept of picture fuzzy threshold graph (PFTG) is introduced. It has been shown that PFTGs are free from alternating 4-cycle and it can be constructed by repeatedly adding a dominating or an isolated node. Several properties about PFTGs are discussed and obtained the results that every picture fuzzy graph (PFG) is equivalent to a PFTG under certain conditions. Also, the underlying crisp graph (UCG) of PFTG is a split graph (SG), and conversely, a given SG can be applied to constitute a PFTG. A PFTG can be decomposed in a unique way and it generates three distinct fuzzy threshold graphs (FTGs). Furthermore, two important parameters i.e., picture fuzzy (PF) threshold dimension (TD) and PF partition number (PN) of PFGs are defined. Several properties on TD and PN have also been discussed. Lastly, an application of these developed results are presented in controlling medicine resources.

摘要
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/3c6549d0cea9/entropy-24-00658-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/9d5fc8013a2b/entropy-24-00658-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/710e32a0d013/entropy-24-00658-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/4145ce943573/entropy-24-00658-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/6a65cdc374d9/entropy-24-00658-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/d69a370d41dd/entropy-24-00658-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/06c3638d7101/entropy-24-00658-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/ce8f55b36d7b/entropy-24-00658-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/807d1dd625d3/entropy-24-00658-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/66e61bb64dc5/entropy-24-00658-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/113ba1d6ecaf/entropy-24-00658-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/1b30159940c1/entropy-24-00658-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/87f40dbd5422/entropy-24-00658-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/3c6549d0cea9/entropy-24-00658-g013.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/9d5fc8013a2b/entropy-24-00658-g001.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/710e32a0d013/entropy-24-00658-g002.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/4145ce943573/entropy-24-00658-g003.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/6a65cdc374d9/entropy-24-00658-g004.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/d69a370d41dd/entropy-24-00658-g005.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/06c3638d7101/entropy-24-00658-g006.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/ce8f55b36d7b/entropy-24-00658-g007.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/807d1dd625d3/entropy-24-00658-g008.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/66e61bb64dc5/entropy-24-00658-g009.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/113ba1d6ecaf/entropy-24-00658-g010.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/1b30159940c1/entropy-24-00658-g011.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/87f40dbd5422/entropy-24-00658-g012.jpg
https://cdn.ncbi.nlm.nih.gov/pmc/blobs/4178/9140811/3c6549d0cea9/entropy-24-00658-g013.jpg

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