Name
Abstract | ||
|---|---|---|
In this article, we present the concept of Pythagorean fuzzy threshold graphs (FTGs) which are generalizations of intuitionistic FTGs. We show that Pythagorean FTGs do not contain Pythagorean fuzzy alternating (FA) 4 - cycle. Pythagorean FTGs can be constructed by consecutively adding an isolated node or a dominating node. We propose that Pythagorean FTGs are Pythagorean fuzzy split graphs (SGs). Also threshold dimension and threshold partition number of Pythagorean fuzzy graphs (PFGs) and some basic theorems on threshold dimension and threshold partition number have been presented. Finally, we discuss the implementations of Pythagorean FTGs in the gas supply allocation problem and traffic flow problem. By means of implementations, we observe that Pythagorean FTGs are applicable to a greater extent than intuitionistic FTGs to deal with uncertainty and vagueness. |
Year | Venue | Keywords |
|---|---|---|
2022 | JOURNAL OF MULTIPLE-VALUED LOGIC AND SOFT COMPUTING | Pythagorean FTGs, Pythagorean FA 4-cycle, Pythagorean fuzzy SGs, Pythagorean fuzzy threshold dimension, Pythagorean fuzzy threshold partition number |
DocType | Volume | Issue |
Journal | 38 | 5-6 |
ISSN | Citations | PageRank |
1542-3980 | 0 | 0.34 |
References | Authors | |
0 | 4 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Muhammad Akram | 1 | 63 | 15.02 |
| Uzma Ahmad | 2 | 0 | 0.68 |
| Rukhsar | 3 | 0 | 0.34 |
| Sovan Samanta | 4 | 0 | 0.34 |