Soft Computing, cilt.27, sa.8, ss.4543-4552, 2023 (SCI-Expanded)
© 2023, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.In this work, we first consider the discrete version of information generating function and develop some new results for it. We then propose Jensen-discrete information generating (JDIG) function as a generalized measure, which is connected to Shannon entropy, fractional Shannon entropy, Gini–Simpson index (Gini entropy), extropy, Jensen–Shannon entropy, Jensen–Gini–Simpson index and Jensen-extropy measures. Finally, for illustrative purpose, we use a real example from image processing and provide some numerical results in terms of the Jensen-discrete information generating function and demonstrate that the JDIG measure introduced here is an useful criteria for measuring similarity between two images.