Tsallis entropy of fuzzy σ-algebras

Publish Year: 1403
نوع سند: مقاله ژورنالی
زبان: English
View: 37

This Paper With 11 Page And PDF Format Ready To Download

  • Certificate
  • من نویسنده این مقاله هستم

استخراج به نرم افزارهای پژوهشی:

لینک ثابت به این Paper:

شناسه ملی سند علمی:

JR_IJNAA-15-12_030

تاریخ نمایه سازی: 17 تیر 1403

Abstract:

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 ∈ (۰, ۱)∪(۱, ∞). Moreover, we study the conditional version of this entropy and examine its basic properties.

Authors

Javad Jamalzadeh

Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box ۹۸۱۳۵-۶۷۴, Zahedan, Iran

Khatere Ghasemi

Department of Mathematics, Faculty of Mathematics, University of Sistan and Baluchestan, P.O. Box ۹۸۱۳۵-۶۷۴, Zahedan, Iran

مراجع و منابع این Paper:

لیست زیر مراجع و منابع استفاده شده در این Paper را نمایش می دهد. این مراجع به صورت کاملا ماشینی و بر اساس هوش مصنوعی استخراج شده اند و لذا ممکن است دارای اشکالاتی باشند که به مرور زمان دقت استخراج این محتوا افزایش می یابد. مراجعی که مقالات مربوط به آنها در سیویلیکا نمایه شده و پیدا شده اند، به خود Paper لینک شده اند :
  • P.A. Alemany and D.H. Zanette, Fractal random walks from a ...
  • L. Alizadeh and M. Ebrahimi, Renyi and Tsallis and Shannon ...
  • M.P. Almeida, Generalized entropies from first principles, Phys. A: Statist. ...
  • L. Borland, Long-range memory and nonextensivity in financial markets, Europhys. ...
  • D. Dumitrescu, Fuzzy measures and the entropy of fuzzy partitions, ...
  • A. Ebrahimzadeh and J. Jamalzadeh, Conditional logical entropy of fuzzy ...
  • R. Hanel and S. Thurner, Generalized Boltzmann factors and the ...
  • J. Havrda and F. Charvat, Quantification methods of classification processes: ...
  • H. Huang, H. Xie, and Z. Wang, The analysis of ...
  • G. Kaniadakis, Statistical mechanics in the context of special relativity, ...
  • B.N. Karayiannis, Fuzzy partition entropies and entropy constrained fuzzy clustering ...
  • M. Khare, Fuzzy σ-algebras and conditional entropy, Fuzzy Sets Syst. ...
  • M. Khare, Sufficient families and entropy of inverse limit, Math. ...
  • E.-P. Klement, Fuzzy σ-algebras and fuzzy measurable functions, Fuzzy Sets ...
  • A.N. Kolmogorov, New metric invariant of transitive dynamical systems and ...
  • V. Kumar, Kapur’s and Tsalli’s Entropies: A Communication System Perspective, ...
  • D. Markechova, The entropy of fuzzy dynamical systems and generators, ...
  • D. Markechova, Entropy of complete fuzzy partitions, Math. Slovaca ۴۳ ...
  • J. Naudts, Deformed exponentials and logarithms in generalized thermostatistics, Phys. ...
  • Nonextensive Statistical Mechanics and Thermodynamics, Available online: http://tsallis.cat.cbpf.br/biblio.htm (accessed on ۱۶ ...
  • K. Piasecki, Fuzzy partitions of sets, Busefal ۲۵ (۱۹۸۶), ۵۲–۶۰ ...
  • D.G. Perez, L. Zunino, M.T Martın, D.G. Perez, L. Zunino, ...
  • A. Ramirez-Reyes, A.R. Hernandez-Montoya, G. Herrera-Corral, and I. Domınguez-Jimenez, Determining ...
  • O.A. Rosso, M.T. Mart´ın, and A. Plastino, Brain electrical activity ...
  • C.E. Shannon, A mathematical theory of communication, Bell Syst. Tech. ...
  • Y.G. Sinai, On the notion of entropy of dynamical system, ...
  • P. Srivastava and M. Khare, Conditional entropy and Rokhlin metric, ...
  • P. Srivastava and M. Khare, Y.-K. Srivastava, m-Equivalence, entropy and ...
  • S. Tong, A. Bezerianos, J. Paul, Y. Zhu, and N. ...
  • C. Tsallis, Possible generalization of Boltzmann–Gibbs statistics, J. Statist. Phys. ...
  • C. Tsallis, Introduction to Nonextensive Statistical Mechanics: Approaching a Complex ...
  • C. Tsallis, Generalized entropy-based criterion for consistent testing, Phys. Rev. ...
  • C. Tsallis, Nonextensive thermostatistics and fractals, Fractals ۳ (۱۹۹۵), ۵۴۱–۵۴۷ ...
  • C. Tsallis, C. Anteneodo, L. Borland, and R. Osorio, Nonextensive ...
  • نمایش کامل مراجع