Characterization of fuzzy neighborhood commutative division rings II

Abstract

In [4] we produced a characterization of fuzzy neighborhood commutative division rings; here we present another characterization of it in a sense that we minimize the conditions so that a fuzzy neighborhood system is compatible with the commutative division ring structure. As an additional result, we show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring.

Keywords

• fuzzy neighborhood system
• fuzzy neighborhood ring
• fuzzy neighborhood commutative division ring
• relatively compact fuzzy set
• bounded fuzzy set.