Pythagorean Dombi fuzzy graphs

Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility....

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Bibliographic Details
Published in:Complex & intelligent systems 2020-04, Vol.6 (1), p.29-54
Main Authors: Akram, Muhammad, Dar, Jawaria Mohsan, Naz, Sumera
Format: Article
Language:English
Subjects:
Complexity
Computational Intelligence
Data Structures and Information Theory
Engineering
Fuzzy logic
Fuzzy sets
Graphical representations
Graphs
Information management
Intelligence (information)
Original Article
Scientific papers
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Summary:Pythagorean fuzzy graph, a broadly used extension of fuzzy and intuitionistic fuzzy graph, is helpful in representing structural relationships between several objects where the relation between these objects is vague, while the Dombi operators with operational parameters have excellent flexibility. Utilizing these two concepts, this research paper proposes the novel concept of Pythagorean Dombi fuzzy graphs (PDFGs). Basically, graph terminology is employed for introducing Pythagorean fuzzy analogs of various fundamental graphical ideas using Dombi operator. Further, under Pythagorean Dombi fuzzy environment, regular, totally regular, strongly regular and biregular graphs are defined with appropriate illustration and some of their crucial properties are examined. Meanwhile, the notion of edge regularity of PDFG is also initiated with substantial characteristics. Finally, a numerical example related to evaluation of appropriate ETL software for a business intelligence project is presented to better understand PDFGs.
ISSN:2199-4536
2198-6053
DOI:10.1007/s40747-019-0109-0