On M-Approximative Operators and M-Approximative Systems

Abstract-- The concept of an M-approximative system is introduced. Basic properties of the category of M-approximative systems and in a natural way defined morphisms between them are studied. It is shown that categories related to fuzzy topology as well as categories related to rough sets can be described as special subcategories of the category of M-approximative systems. Keywords-- Approximative operator, approximative system, clmonoid, fuzzy topology, L-topology, rough set

• Type: Journal
• Year: 2009
• Where: EUSFLAT
• Authors: Alexander P. Sostak
• Keywords: Approximative Operator, EUSFLAT 2009, Fuzzy Logic, Fuzzy Topology, M-approximative Systems