An introduction of logical entropy on sequential effect algebra

The main aim of this study was to introduce logical entropy on dynamical systems that their state spaces were sequential effect algebra. In this regard, logical partition was defined on sequential effect algebra and then based on logical partition concept, logical entropy on partitions, conditional logical entropy, and logical entropy on dynamical systems were introduced and their features were analyzed. In addition, it was proved that this entropy is an invariant object under isomorphism relation.