CODES BASED ON RESIDUATED LATTICES

被引:1
|
作者
Atamewoue, Tsafack Surdive [1 ]
Jun, Young Bae [2 ]
Lele, Celestin [3 ]
Ndjeya, Selestin [4 ]
Song, Seok-Zun [5 ]
机构
[1] Univ Yaounde I, Dept Math, Yaounde, Cameroon
[2] Gyeongsang Natl Univ, Dept Math Educ, Jinju 660701, South Korea
[3] Univ Dschang, Dept Math, Dschang, Cameroon
[4] Univ Yaounde I, Higher Teacher Training Coll, Dept Math, Yaounde, Cameroon
[5] Jeju Natl Univ, Dept Math, Jeju 690756, South Korea
来源
关键词
RL-function; cut function; cut subset;
D O I
10.4134/CKMS.2016.31.1.027
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We define the notion of a residuated lattice valued function on a set as Jun and Song have done in BCK-algebras. We also investigate related properties of residuated lattice valued function. We establish the codes generated by residuated lattice valued function and conversely we give residuated lattice valued function and residuated lattice obtained by the giving binary block-code.
引用
收藏
页码:27 / 40
页数:14
相关论文
共 50 条
  • [1] Involutive Residuated Lattices Based on Modular and Distributive Lattices
    Olson, Jeffrey S.
    [J]. ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2014, 31 (03): : 373 - 389
  • [2] Rough filters based on residuated lattices
    Saeed Rasouli
    Bijan Davvaz
    [J]. Knowledge and Information Systems, 2019, 58 : 399 - 424
  • [3] Involutive Residuated Lattices Based on Modular and Distributive Lattices
    Jeffrey S. Olson
    [J]. Order, 2014, 31 : 373 - 389
  • [4] Rough filters based on residuated lattices
    Rasouli, Saeed
    Davvaz, Bijan
    [J]. KNOWLEDGE AND INFORMATION SYSTEMS, 2019, 58 (02) : 399 - 424
  • [5] Residuated lattices
    Ward, M
    Dilwort, RP
    [J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1938, 24 : 162 - 164
  • [6] Residuated lattices
    Ward, Morgan
    Dilworth, R. P.
    [J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1939, 45 (1-3) : 335 - 354
  • [7] On (⊙, &)-fuzzy rough sets based on residuated and co-residuated lattices
    Qiao, Junsheng
    Hu, Bao Qing
    [J]. FUZZY SETS AND SYSTEMS, 2018, 336 : 54 - 86
  • [8] Fuzzy rough sets based on residuated lattices
    Radzikowska, AM
    Kerre, EE
    [J]. TRANSACTIONS ON ROUGH SETS II: ROUGH SETS AND FUZZY SETS, 2004, 3135 : 278 - 296
  • [9] A topology based on nuclei and upsets in residuated lattices
    Wu, Supeng
    Liu, Hui
    Yang, Jiang
    [J]. Soft Computing, 2024, 28 (20) : 11743 - 11756
  • [10] Skew residuated lattices
    Chajda, I.
    Krnavek, J.
    [J]. FUZZY SETS AND SYSTEMS, 2013, 222 : 78 - 83