Tsallis Entropy in MV-Algebras

被引:0
|
作者
Barbieri, Giuseppina Gerarda [1 ]
Lenzi, Giacomo [1 ]
机构
[1] Univ Salerno, Dept Math, I-84084 Fisciano, Italy
关键词
Tsallis entropy; MV-algebras; DYNAMICAL-SYSTEMS;
D O I
10.3390/math12223594
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We deal with Tsallis entropy in MV-algebraic dynamical systems. We prove that Tsallis entropy is a submeasure and that it is invariant under isomorphisms. We also provide two examples which show that Tsallis entropy allows one to distinguish some non-isomorphic MV-dynamical systems.
引用
收藏
页数:12
相关论文
共 50 条
  • [21] On Product MV-Algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 2002, 52 : 797 - 810
  • [22] Implication in MV-algebras
    Chajda, I
    Halas, R
    Kühr, J
    ALGEBRA UNIVERSALIS, 2005, 52 (04) : 377 - 382
  • [23] On free MV-algebras
    Jakubík, J
    CZECHOSLOVAK MATHEMATICAL JOURNAL, 2003, 53 (02) : 311 - 317
  • [24] Similarity MV-algebras
    Gerla, B
    Leustean, I
    FUNDAMENTA INFORMATICAE, 2006, 69 (03) : 287 - 300
  • [25] Projective MV-algebras
    Di Nola, Antonio
    Grigolia, Revaz
    Lettieri, Ada
    INTERNATIONAL JOURNAL OF APPROXIMATE REASONING, 2008, 47 (03) : 323 - 332
  • [26] On archimedean MV-algebras
    Ján Jakubík
    Czechoslovak Mathematical Journal, 1998, 48 : 575 - 582
  • [27] NORMALIZATION OF MV-ALGEBRAS
    Chajda, I.
    Halas, R.
    Kuehr, J.
    Vanzurova, A.
    MATHEMATICA BOHEMICA, 2005, 130 (03): : 283 - 300
  • [28] The Writing of the MV-algebras
    C. C. Chang
    Studia Logica, 1998, 61 (1) : 3 - 6
  • [29] Generalized MV-algebras
    Galatos, N
    Tsinakis, C
    JOURNAL OF ALGEBRA, 2005, 283 (01) : 254 - 291
  • [30] On tense MV-algebras
    Botur, Michal
    Paseka, Jan
    FUZZY SETS AND SYSTEMS, 2015, 259 : 111 - 125