Fuzzy normed linear spaces extend conventional normed spaces by integrating a degree of imprecision through fuzzy set theory, thereby quantifying uncertainty in the measurement of vector magnitude.

We develop a theory of ordered *-vector spaces with an order unit. We prove fundamental results concerning positive linear functionals and states, and we show that the order (semi)norm on the space of ...

Abstract Using the axiom of choice, we prove a generalized converse of the well-known fact that if X is a finite-dimensional vector space, then any linear functional on X is continuous with respect to ...