GENERALIZED VERSION OF CLOSED SET AND CONTINUITY IN FUZZY m-SPACE

摘要

In this paper a new type of generalized version of fuzzy closed set and continuity are discussed in fuzzy minimal space, introduced in (Alimohammady and Roohi, 2006). Then we introduce fg(m, m_1)δ-open and fg(m, m_1)δ-closed functions using fgmδ-closme operator which is an idempotent operator, as a basic tool. Afterwards, fg(m,m_1)δ-continuity, fg(m,m_1)δ-irresoluteness are introduced and characterized. Lastly we introduce fgmδ-regular, fgmδ-normal and fgmδ-compact spaces and some applications of fg(m, m_1)δ-continuous function and fg(m, m_1)δ-irresolute function on fgmδregular, fgmδ-normal and fgmδ-compact spaces are established.