L-Fuzzy rough point-wise proximity spaces

Abstract

In this paper, we study the concept of nearness between L-fuzzy rough sets and L-fuzzy points. The nearness between two L-fuzzy rough sets are viewed in terms of this new concept. Also, we investigate the relationship of L-fuzzy rough point-wise proximity space with L-fuzzy rough grills, L-fuzzy rough δℛ -clan and L-fuzzy rough δℛ-clusters. Moreover, we introduce the L-fuzzy rough point-wise LO-proximity spaces and study a few of its fundamental properties. The research is supported by a sufficient number of examples.

Keywords

• fuzzy rough sets
• proximity spaces
• closure space
• grills
• clusters