‎In this essay we introduce and study the notion of dimension for observers via Caratheodory structures and relative probability measures‎. ‎We show that the dimension as a three variables function is an increasing function on observers‎, ‎and decreasing function on the cuts of an observer‎. ‎We find observers with arbitrary non-negative dimensions‎. ‎We show that Caratheodory dimension for obs...

Using a system of axioms among with a modified definition of boundary on the basis of the intuitionistic fuzzy sets, we formulate an inductive structure for the dimension of fuzzy spaces which has been defined by Coker. This new definition of boundary allows to characterize an intuitionistic fuzzy clopen set as a set with zero boundary. Also, some critical properties and applications are establ...

ginger (zingiber officinale roscoe) contains the biological properties of the major standard non–volatile pungent compounds of ginger, namely, [6]–, [8]–, and [10]–gingerols, as well as [6]– , [8]–, and [10]–shogaols. so far, the comparative antioxidant potencies among shogaols and gingerols have not been studied in detail and reported. accordingly, this study aimed to examine and compare the a...

We introduce a new measure for capital market efficiency. The measure takes into consideration the correlation structure of the returns (long-term memory), local herding behavior (information dimension) and uncertainty in the process (entropy). The efficiency measure is then taken as a distance from an ideal efficient market situation. Methodology is applied to a portfolio of 41 stock indices. ...

in this paper we investigate the algebraic properties of dimension of fuzzy hypervector spaces. also, we prove that two isomorphic fuzzy hypervector spaces have the same dimension.