COMPACTNESS IN PYTHAGOREAN FUZZY TOPOLOGICAL SPACES
A. HAYDAR EŞ *
Department of Mathematics Education, Başkent University, Bağlıca Campus, 06490 Ankara, Turkey.
*Author to whom correspondence should be addressed.
Abstract
In this paper, the concept of Pythagorean fuzzy compactness, Pythagorean fuzzy almost compactness and Pythagorean fuzzy near compactness are introduced and studied. We give some characterizations of Pythagorean fuzzy almost compactness in terms of Pythagorean fuzzy regular open or Pythagorean fuzzy regular closed. Also, we investigate the behavior of Pythagorean fuzzy compactness under several types of Pythagorean fuzzy continuous.
Keywords: Pythagorean fuzzy subsets, pythagorean fuzzy topology, pythagorean fuzzy continuity, pythagorean fuzzy compactness