Above definition is steady with description of measure of entropy given by De Luca & Termini (1972).
Definition 5: A real-valued function E: IvIFSs(OMEGA]) [right arrow] [0,1] is termed as measure of entropy under IvIFE, if the following axioms are satisfied:
It has been observed that generally the changes in enthalpy and entropy occur simultaneously (Oliveira et al., 2013; Correa et al., 2015; Goneli et al., 2016a, b; Silva et al., 2016), which according to Leffler (1995) allows to verify greater molecular interaction or bonds between molecules due to the reduction in the freedom or to the binding of the molecules in the system.
For Leffler (1955), if [T.sub.B] > [T.sub.hm], the sorption process is controlled by enthalpy; otherwise ([T.sub.B] < [T.sub.hm]), the process is controlled by entropy. Therefore, the desorption and adsorption processes of 'Malagueta' pepper seeds are controlled by the enthalpy, following the same behavior of various agricultural products (Oliveira et al., 2013; Goneli et al., 2016a; Silva et al., 2016).
The next step is a calculation of Shannon's entropy
. The entropy
of signal before WPDR is selected as a reference.
Based on Boltzmann's observation that a thermodynamical system evolves toward the equilibrium state, which is the most probable one, Gibbs introduced in 1902 the criterion of maximum entropy
The research team then used mathematical models validated by past studies to arrive at reliable, statistical entropy
scores based on how well one set of active nerve-cell combinations captured by one image predicted those in the next image.
Let G = (V, E, w) be an edge weighted, then the entropy
of G is
measure for IVIFS based on different distance measures along with some basic properties is also discussed in this section.
. The Bekenstein entropy
is given by
Here we give another generalization of (17) and study its bounds in terms of generalized entropy
of order [xi].
 are pioneers for using entropy
to compute the optimal state sequence of a first-order HMM with a single observational sequence.