Tsallis entropy of fuzzy σ-algebras
نویسندگان
1 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
2 Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran
doi
10.22075/ijnaa.2023.27813.3724چکیده
The Shannon entropy and the logical entropy of fuzzy σ-algebras are well-known instances of entropy. In this paper, we introduce and study the Tsallis entropy of order α of fuzzy σ−algebras on F −probability measure spaces, where α ∈ (0, 1)∪(1, ∞). Moreover, we study the conditional version of this entropy and examine its basic properties.
