Fuzzy topological quasigroups (Q1311899)

Considering Lowen-fuzzy topology [\textit{R. Lowen}, J. Math. Anal. Appl. 56, 621-633 (1976; Zbl 0342.54003)], the author introduces the notion of fuzzy topological quasigroup, similar notions are introduced earlier by some other authors in case of various algebraic structures. The present author, however, uses Warren-fuzzy neighborhood system [\textit{R. H. Warren}, Rocky Mt. J. Math. 9, 761-764 (1979; Zbl 0429.54003)] is an attempt to tackle the problem of introducing fuzzy quasigroup topology in an Abelian quasigroup having an idempotent element. In this respect, some basic facts are derived.