Fuzzy rough sets based on L-valued relations

Issue title: Special Section: Similarity, correlation and association measures - dedicated to the memory of Lotfi Zadeh

Guest editors: Ildar Batyrshin, Valerie Cross, Vladik Kreinovich and Maria Rifqi

Article type: Research Article

Authors: Li, Fei^{a; *} | Yue, Yueli^b | Yao, Wei^c

Affiliations: [a] Department of Mathematics, Beijing Forestry University, Beijing, P.R. China | [b] Department of Mathematics, Ocean University of China, Qingdao, P.R. China | [c] Department of Mathematics, Hebei University of Science and Technology, Shijiangzhuang, P.R. China

Correspondence: [*] Corresponding author. Fei Li, Department of Mathematics, Beijing Forestry University, Beijing, P.R. China. E-mail: feifei_1004@bjfu.edu.cn.

Abstract: For L being a GL-quantale and based on the concept of L-valued relations, we propose generalized L-fuzzy rough sets as a further generalization of L-fuzzy rough sets, and then characterized the L-fuzzy rough sets are from both constructive and axiomatic approaches.

Keywords: Generalized L-fuzzy rough set, L-valued relation, generalized L-approximation operator, GL-quantale

DOI: 10.3233/JIFS-172301

Journal: Journal of Intelligent & Fuzzy Systems, vol. 36, no. 4, pp. 3143-3153, 2019