FNS is not isomorphic to FTS

Authors:
Sanjiang Li;Maokang Luo
Affiliations:
State Key Laboratory of Intelligent Technology and Systems, Department of Computer Science and Technology, Tsinghua University, Beijing 100084, China;Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
Venue:
Fuzzy Sets and Systems - Logic and algebra
Year:
2003

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Abstract

In this paper, we show that there are exactly c different simultaneously bireflective and bicoreflective subconstructs of FNS , in fact there exists a one-to-one correspondence between those subconstructs of FNS and open sets of (0,1). We also prove that FNS and FNBS are mutually complemented in the complete lattice of simultaneously bireflective and bicoreflective subconstructs of FTS . As a result we get that FNS is not isomorphic to FTS .