DCR University of Science and Technology, Shri Mata Vaishno Devi University and Pt. Chiranji Lal Sharma, Govt. P.G. College
Abstract: In this communication, order preserving property of Tsallis measure of entropy is proved. Further, subdditivity and submodularity of Tsallis measure of entropy on a majorization are established. Additionally, Shannon's [DOI: 10.1109/TIT.1953.1188572] little-recognized legacy, an interesting concepts of information elements and information lattices is studied.
Keywords: Tsallis entropy, order preserving, majorization, subadditive, submodular.
Classification (MSC2000): 94A17; 05B35
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