Some orders in between the hierarchy of bitolerance orders
碩士 === 國立臺灣海洋大學 === 資訊工程學系 === 96 === An ordered set P = (V,≺) is a bounded bitolerance order if it has a representation as follows. Each v ∈ V is assigned a real interval Iv = [L(v),R(v)] and two additional tolerant points p(v), q(v) ∈ Iv satisfying p(v) L(v) and q(v) R(v) so that x ≺ y ⇐⇒ R(x) <...
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| Format: | Others |
| Language: | en_US |
| Published: |
2007
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| Online Access: | http://ndltd.ncl.edu.tw/handle/72122303519456084691 |
| Summary: | 碩士 === 國立臺灣海洋大學 === 資訊工程學系 === 96 === An ordered set P = (V,≺) is a bounded bitolerance order if it has a representation as follows. Each v ∈ V is assigned a real interval Iv = [L(v),R(v)] and two additional tolerant points p(v), q(v) ∈ Iv satisfying p(v) L(v) and q(v) R(v) so that x ≺ y ⇐⇒ R(x) < p(y) and q(x) < L(y). The collection where I ={ Iv | v ∈ V }, p = {p(v) | v ∈ V } and q = {q(v) | v ∈ V } is called a bounded bitolerance representation of P.
There are some classes of bounded bitolerance orders with different restriction.
We find some orders of difference between each of different classes.
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