Algebraic fuzzy directed-complete posets

作者: Shuhua Su , Qingguo Li

DOI: 10.1007/S00521-011-0807-Z

关键词:

摘要: In this paper, as a special case of fuzzy domains, algebraic directed-complete posets (shortly, dcpos) are discussed. Throughout the dcpos, some equivalent characterizations domains given. Then, construction new dcpos (resp., domains) from known ones by means forming products, taking subsets, and images under maps with appropriate operations is investigated. Finally, kind continuous section retraction pairs proposed. Moreover, it proved that every domain an dcpo, also domain.

参考文章(13)
Hongliang Lai, Dexue Zhang, Fundamental study: Complete and directed complete Ω-categories Theoretical Computer Science. ,vol. 388, pp. 1- 25 ,(2007) , 10.1016/J.TCS.2007.09.012
K. Keimel, K. H. Hofmann, J. D. Lawson, M. W. Mislove, D. S. Scott, G. Gierz, Continuous Lattices and Domains ,(2003)
S.E. Rodabaugh, Relationship of algebraic theories to powersets over objects in Set and Set×C Fuzzy Sets and Systems. ,vol. 161, pp. 453- 470 ,(2010) , 10.1016/J.FSS.2009.09.010
Lei Fan, A New Approach to Quantitative Domain Theory Electronic Notes in Theoretical Computer Science. ,vol. 45, pp. 77- 87 ,(2001) , 10.1016/S1571-0661(04)80956-3
Jinming Fang, Yueli Yue, L-fuzzy closure systems Fuzzy Sets and Systems. ,vol. 161, pp. 1242- 1252 ,(2010) , 10.1016/J.FSS.2009.10.002
Qiye Zhang, Weixian Xie, Lei Fan, Fuzzy complete lattices Fuzzy Sets and Systems. ,vol. 160, pp. 2275- 2291 ,(2009) , 10.1016/J.FSS.2008.12.001
Qi-Ye Zhang, Wei-Xian Xie, Section-retraction-pairs between fuzzy domains Fuzzy Sets and Systems. ,vol. 158, pp. 99- 114 ,(2007) , 10.1016/J.FSS.2006.08.009
Wei Yao, Ling-Xia Lu, Fuzzy Galois connections on fuzzy posets Mathematical Logic Quarterly. ,vol. 55, pp. 105- 112 ,(2009) , 10.1002/MALQ.200710079