Different classes ratio and Laplace summation operator based intuitionistic fuzzy rough attribute selection

Document Type : Research Paper

Authors

1 Division of Mathematics, SBAS, Galgotias University, Greater Noida, UP- 201310

2 DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, BHU, Varanasi, UP-221005

3 Department of CSE, Koneru Lakshmaiah Education Foundation, Hyderabad, Telangana -500075

4 Department of Mathematical Sciences, IIT (BHU), Varanasi, UP -221005

Abstract

In real-world data deluge, due to insignificant information and high dimension, irrelevant and redundant attributes reduce the ability of experts both in predictive accuracy and speed, respectively. Attribute selection is the notion of selecting those attributes that are essential as well as enough to specify the target knowledge preferably. Fuzzy rough set-based approaches play a crucial role in selecting relevant and less redundant attributes from a high-dimensional dataset. Intuitionistic fuzzy set-based approaches can handle uncertainty as it gives an additional degree of freedom when compared to fuzzy approaches. So, it has a more flexible and practical ability to deal with vagueness and noise available in the information system. In this paper, we introduce two new robust approaches for attribute selection based on intuitionistic fuzzy rough set theory using the concepts of Different Classes ratio and Laplace Summation operator. Firstly, Different Classes ratio and Laplace Summation operator based lower and
upper approximations are established based on intuitionistic fuzzy rough set concept. Moreover, we present algorithms and illustrative examples for a better understanding of our approaches. Finally, experimental analysis is performed on some real-valued datasets for attribute selection and classification accuracies.

Keywords