Quasi product on Boolean D-posets

被引：15
|
作者：
Kopka, Frantisek [1 ,2 ]
机构：
[1] Univ Zilina, Fac Elect Engn, Dept Engn Fundamentals, Liptovsky Mikulas 03101, Slovakia
[2] Slovak Acad Sci, Inst Math, Bratislava 81473, Slovakia
来源：
INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2008年 / 47卷 / 01期
关键词：
Boolean D-poset; MV-algebra; quasi product; t-norm;
D O I：
10.1007/s10773-007-9457-4
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The pointwise multiplication on a full tribe and the product operation on an MV-algebra play a crucial role in the construction of a joint observable. In the present paper we introduce a quasi product operation on Boolean D-posets and describe its properties. Our quasi product generalizes product on MV-algebras and in some cases also t-norms.
引用
下载
收藏
页码：26 / 35
页数：10
相关论文
共 50 条
  • [1] Quasi Product on Boolean D-Posets
    František Kôpka
    International Journal of Theoretical Physics, 2008, 47 : 26 - 35
  • [2] On a representation of finite Boolean D-posets
    Chovanec, F
    Kopka, F
    TATRA MOUNTAINS MATHEMATICAL PUBLICATIONS, VOL 15, 1998: QUANTUM STRUCTURES II, 1998, : 107 - 121
  • [3] Boolean D-posets as the factor spaces
    Kopka, F
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1998, 37 (01) : 93 - 101
  • [4] Pseudo difference posets and pseudo boolean D-posets
    Shang, Y
    Li, YM
    Chen, MY
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 2004, 43 (12) : 2447 - 2460
  • [5] Pseudo Difference Posets and Pseudo Boolean D-Posets
    Shang Yun
    Li Yongming
    Chen Maoyin
    International Journal of Theoretical Physics, 2004, 43 : 2447 - 2460
  • [6] Boolean D-Posets as the Factor Spaces
    Frantisek Kopka
    International Journal of Theoretical Physics, 1998, 37 : 93 - 101
  • [7] D-homomorphisms and atomic σ-complete boolean D-posets
    A. Dvurečenskij
    F. Chovanec
    E. Rybáriková
    Soft Computing, 2000, 4 (1) : 9 - 18
  • [8] COMPATIBILITY IN D-POSETS
    KOPKA, F
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (08) : 1525 - 1531
  • [9] REPRESENTATIONS OF D-POSETS
    PULMANNOVA, S
    WILCE, A
    INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS, 1995, 34 (08) : 1689 - 1696
  • [10] Ideals and Filters in D-Posets
    Ferdinand Chovanec
    Eva Rybarikova
    International Journal of Theoretical Physics, 1998, 37 : 17 - 22
12345