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Fixed point property and formal concept analysis

✍ Scribed by Weiqun Xia

Publisher
Springer Netherlands
Year
1992
Tongue
English
Weight
599 KB
Volume
9
Category
Article
ISSN
0167-8094

No coin nor oath required. For personal study only.

✦ Synopsis

The purpose of this paper is to interpret, with the language of formal concept analysis, the fixed point free and order-preserving self-mappings of ordered sets as formal concepts of a context. With this interpretation one can derive a practicable algorithm for determining if a given finite ordered set has the fixed point property.

As a side product it 1s proved that dlsmantlability of finite ordered sets can be tested in polynomial time.

Mathematics Subject Classification (1991). 06Axx.

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