ON L-FUZZIFYING CONVERGENCE SPACES

Abstract

Based on a complete Heyting algebra L, the relations between Lfuzzifying<br />convergence spaces and L-fuzzifying topological spaces are studied.<br />It is shown that, as a reflective subcategory, the category of L-fuzzifying topological<br />spaces could be embedded in the category of L-fuzzifying convergence<br />spaces and the latter is cartesian closed. Also the specialization L-preorder<br />of L-fuzzifying convergence spaces and that of L-fuzzifying topological spaces<br />are investigated.