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Open AccessArticle

Decision Making Approach under Pythagorean Dombi Fuzzy Graphs for Selection of Leading Textile Industry

1
Department of Mathematics, University of the Punjab, New Campus, Lahore 4590, Pakistan
2
Department of Mathematics, University of Education, Bank Road Campus, Lahore, Pakistan
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(4), 102; https://doi.org/10.3390/mca24040102
Received: 17 November 2019 / Revised: 8 December 2019 / Accepted: 12 December 2019 / Published: 13 December 2019
Graphs play a pivotal role in structuring real-world scenarios such as network security and expert systems. Numerous extensions of graph theoretical conceptions have been established for modeling uncertainty in graphical network situations. The Pythagorean Dombi fuzzy graph (PDFG), a generalization of the fuzzy Dombi graph (FDG), is very useful in representing vague relations between several objects, whereas the operational parameter has a flexible nature in decision-making problems. The main objective of this research study is to expand the area of discussion on PDFGs by establishing fruitful results and notions related to operations such as the direct product, Cartesian product, semi-strong product, strong product, and composition on PDFGs. Certain concepts, including the degree of vertices and total degree, are discussed as its modifications. Meanwhile, these outcomes are considered on PDFGs maintaining the strongness property. At the end, an algorithm for Pythagorean Dombi fuzzy multi-criteria decision-making is given, and a numerical example based on the selection of a leading textile industry is put forward to clarify the suitability of the proposed approach. View Full-Text
Keywords: Pythagorean Dombi fuzzy graphs; operations on PDFGs; strongness property; decision-making application Pythagorean Dombi fuzzy graphs; operations on PDFGs; strongness property; decision-making application
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Akram, M.; Mohsan Dar, J.; Shahzadi, S. Decision Making Approach under Pythagorean Dombi Fuzzy Graphs for Selection of Leading Textile Industry. Math. Comput. Appl. 2019, 24, 102.

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