In 1965, L.A. Zadeh introduced the concept of Fuzzy Set as an attempt to mathematically handle those situations which are inherently vogue, imprecise or fuzzy in nature. The advent of Fuzzy Set Theory has led to the development of many areas of Mathematics and Sciences. It has become a concern and a new tool for mathematicians working in many different disciplines of Mathematics. After the introduction of "Fuzzy Topology" by Chang C.L. many concepts of "General Topology" have been fuzzified successfully by many researchers. The present book entitled "Fuzzy R0 and R1 Properties" is devoted to finding out some new R1-concepts for fuzzy topological spaces. Besides some existing concepts of fuzzy R0, R1, T0, T1, T2 and regular topological spaces are recalled, and studied in detail. Interrelations among various separation axioms of fuzzy topological spaces are discussed. This book will be helpful for the undergraduate and graduate students, particularity for those who are studying Fuzzy Mathematics.