Section-retraction-pairs between fuzzy domains

Authors:
Qi-Ye Zhang;Wei-Xian Xie
Affiliations:
Department of Mathematics, Beijing University of Aeronautics and Astronautics, Beijing 100083, China and LIMB of the Ministry of Education, Beijing 100083, China;Department of Basic Course, Beijing Institute of Clothing and Technology, Beijing 100029, China
Venue:
Fuzzy Sets and Systems
Year:
2007

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Abstract

In this paper we give the concepts of fuzzy monotone and fuzzy continuous section-retraction-pairs between fuzzy domains defined in [Q.-Y. Zhang, C.-Y. Zheng, L-fuzzy domain and its related properties, Fuzzy Systems and Math. 18 (2004) 1-7 (in chinese); Q.-Y. Zhang, L. Fan, Continuity in quantitative domains, Fuzzy Sets and Systems 154 (2005) 118-131], discuss some properties about them, and prove that the fuzzy monotone retract of a fuzzy domain is also a fuzzy domain, the fuzzy continuous retract of a continuous fuzzy domain is also a continuous fuzzy domain when L is a completely distributive lattice in which