NORMAL FILTERS IN RESIDUATED LATTICES

被引：1
作者：
Ahadpanah, Afsaneh [1 ]
Torkzadeh, Lida [2 ]
机构：
[1] Islamic Azad Univ, Sci & Res Branch, Dept Math, Kerman, Iran
[2] Islamic Azad Univ, Kerman Branch, Dept Math, Kerman, Iran
来源：
MATEMATICHE | 2015年 / 70卷 / 01期
关键词：
Residuated lattice; (normal; prime; Boolean; fantastic; implicative; positive implicative; obstinate; involution); filter; MV-filter; G-filter;
D O I：
10.4418/2015.70.1.6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Residuated lattices play an important role in the study of fuzzy logic. In the present paper, we introduce the notion of a normal filter in a residuated lattice and give some characterizations of them. We state and prove some theorems and exampels which determine the relationship between this notion and the other types of filters of a residuated lattice. Finally we investigate the relation between the set of dense elements and normal filters of a residuated lattice.
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页码：81 / 92
页数：12
相关论文
共 21 条
  • [1] Boroumand Saeid A., 2013, B MATH SOC SCI MATH, V55, P413
  • [2] Borumand Saeid A., 2009, WORLD APPL SCI J, V6, P70
  • [3] Borzooei RA., 2012, INDIAN J SCI TECHNOL, V5, P1910
  • [4] Cignoli R.L., 2000, ALGEBRAIC FDN MANY V
  • [5] Monoidal t-norm based logic: towards a logic for left-continuous t-norms
    Esteva, F
    Godo, L
    [J]. FUZZY SETS AND SYSTEMS, 2001, 124 (03) : 271 - 288
  • [6] GALATOS N., 2007, STUD LOGIC FDN MATH, V151
  • [7] Hajek P., 1998, METAMATHEMATICS FUZZ
  • [8] Some types of filters in BL algebras
    Haveshki, M
    Saeid, AB
    Eslami, E
    [J]. SOFT COMPUTING, 2006, 10 (08) : 657 - 664
  • [9] HOHLE U, 1995, THEO DEC L, V32, P53
  • [10] Jun Young Bae, 2004, [Communications of the KMS, 대한수학회논문집], V19, P11
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