Sequential effect algebras dynamical systems: The generalized α-Tsallis’s entropy approach and it’s invariance

The objective of the this paper is to study the generalized [Formula: see text]-Tsallis’s entropy on sequential effect algebras (SEA). The generalized [Formula: see text]-Tsallis’s entropy of the partition in SEA of order [Formula: see text], where [Formula: see text], and its conditional version are investigated with suitable examples. We also examine properties of these entropies. The sub-additive property of Tasallis entropy of has also been achieved. The dynamical system of SEA and its generalized [Formula: see text]-Tsallis’s entropy for [Formula: see text], has been defined on SEA and it is achieved that the generalized [Formula: see text]-Tsallis’s entropy of SEA dynamical system is invariant under the isomorphism.