Probabilistic fuzzy rough sets

Article type: Research Article

Authors: Aggarwal, Manish^*

Affiliations: Indian Institute of Management Udaipur, India

Correspondence: [*] Corresponding author. Manish Aggarwal, Indian Institute of Management Udaipur, India. Tel.: +91 9953 622 492; [email protected]

Abstract: We extend the fuzzy rough set as probabilistic fuzzy rough set (PFRS) on a fuzzy probabilistic approximation space. The proposed PFRS models both vague and uncertain information at the same time. The viability of PFRS in decision making is illustrated through a case study. PFRS is shown to be useful for both probabilistic as well as deterministic problems.

Keywords: Probabilistic, fuzzy rough set, degree of inclusion, approximation space, confidence level

DOI: 10.3233/IFS-151668

Journal: Journal of Intelligent & Fuzzy Systems, vol. 29, no. 5, pp. 1901-1912, 2015