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Tsallis entropy of fuzzy σ-algebras | ||
| International Journal of Nonlinear Analysis and Applications | ||
| مقاله 30، دوره 15، شماره 12، اسفند 2024، صفحه 385-395 اصل مقاله (368.65 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22075/ijnaa.2023.27813.3724 | ||
| نویسندگان | ||
| Javad Jamalzadeh* ؛ Khatere Ghasemi | ||
| Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box 98135-674, Zahedan, Iran | ||
| تاریخ دریافت: 23 تیر 1401، تاریخ بازنگری: 03 اسفند 1401، تاریخ پذیرش: 27 مهر 1402 | ||
| چکیده | ||
| 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. | ||
| کلیدواژه‌ها | ||
| Tsallis entropy؛ Entropy؛ Conditional Tsallis entropy؛ Fuzzy σ-algebras | ||
| مراجع | ||
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