Decision-Making Using the Correlation Coefficient Measures of Intuitionistic Fuzzy Rough Graph

Year 2024, Early Access, 1 - 24

Shaik Noorjahan Sharief Basha Shaik

https://doi.org/10.15672/hujms.1486239

Abstract

The hybrid approach produced by combining mathematical representations of intuitionistic fuzzy sets and rough sets is called an intuitionistic fuzzy rough framework. This novel approach addresses vagueness and soft computation by using the lower and upper approximation spaces. The degree of connection between intuitionistic fuzzy rough preference relations is assessed in this study using the correlation coefficient method. An improved comprehension of the link between fuzzy elements is made possible by the superior features of the suggested correlation coefficient measure over the current one. An intuitionistic fuzzy rough environment in which attribute decision-making is based on integrated with the correlation coefficient measure. Additionally, a novel method for determining expert weights based on intuitionistic fuzzy rough preference relations uncertainty and the degree of each IFRPR's correlation coefficient is proposed in the paper. The correlation coefficient measurements between each option and the optimal choice are used in the study to calculate the ranking order of the alternatives. Finally, we introduce a cooperative decision-making method in a cotton seed; this concept may be developed in several advantageous cotton seedlings.

Keywords

Intuitionistic fuzzy rough graph, correlation coefficient, energy, intuitionistic fuzzy rough preference relationship, decision-making problem.

Ethical Statement

Nil

Supporting Institution

Vellore Institute of Technology

Project Number

Nil

Thanks

Vellore Institute of Technology

References

• U. Ahmad and I. Nawaz, Directed rough fuzzy graph with application to trade networking, Comput. Appl. Math. 41 (8), 366, 2022.