On L-valued Equalites on the L-powersets of Many-valued Sets

The research in the field of the so called Fuzzy Mathematics can be conditionally devided into two mainstreams: the first one emphasizes on the study of different fuzzy structures (topological, algebraic, analytical, etc) on an ordinary set X, while for the second one the starting point are L-valued sets, that is a set equipped with some L-valued equality E : X × X → L (L being a lattice usually with an additionally algebraic structure). The aim of this work is to discuss the problem how an L-valued equality given on a set X can be extended to the L-valued equality on the L-powerset LX . This problem, is important, among other for the theory of Lfuzzy topological spaces in the sense of [14], [15].

• Type: Conference
• Year: 2007
• Where: EUSFLAT
• Authors: Ingrida Uljane, Alexander P. Sostak
• Keywords: Different Fuzzy Structures, EUSFLAT 2007, L-valued Equality, Ordinary Set X