FNS is not isomorphic to FTS
- Publication Type:
- Journal Article
- Fuzzy Sets and Systems, 2003, 136 (1), pp. 127 - 131
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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. © 2002 Elsevier Science B.V. All rights rserved.
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