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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.
Highlights
As an additional result, we show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring
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
We show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring
Summary
CHARACTERIZATION OF FUZZY NEIGHBORHOOD COMMUTATIVE DIVISION RINGS II We show that Chadwick [5] relatively compact fuzzy set is bounded in a fuzzy neighborhood commutative division ring. Let (D, t(E)) and (D,t(F])) be fuzzy neighborhood spaces and f: D-D’, f is continuous at xeDVu’eF](f(x))V6elo:ueE(xo) The quadruple (D, /, .,t(E)) is said to be a fuzzy neighborhood ring if and only if the following are fulfilled"
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