Knowledge Science, Engineering and Management: 8th by Songmao Zhang, Martin Wirsing, Zili Zhang

By Songmao Zhang, Martin Wirsing, Zili Zhang

This publication constitutes the refereed complaints of the eighth foreign convention on wisdom technology, Engineering and administration, KSEM 2015, held in Chongqing, China, in October 2015. The fifty seven revised complete papers awarded including 22 brief papers and five keynotes have been rigorously chosen and reviewed from 247 submissions. The papers are equipped in topical sections on formal reasoning and ontologies; wisdom administration and suggestion research; wisdom discovery and popularity equipment; textual content mining and research; suggestion algorithms and structures; laptop studying algorithms; detection equipment and research; class and clustering; cellular facts analytics and information administration; bioinformatics and computational biology; and proof concept and its application.

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Extra resources for Knowledge Science, Engineering and Management: 8th International Conference, KSEM 2015, Chongqing, China, October 28–30, 2015, Proceedings

Example text

Let X be a non-empty set (of states) and O ⊆ P(X) a set of subsets of X. Then, the pair S = (X, O) is called a subset frame. 2. Let S = (X, O) be a subset frame. The set NS := {(x, U ) | x ∈ U and U ∈ O} is then called the set of neighborhood situations of S. 3. Let S = (X, O) be a subset frame. Under an S-valuation we understand a mapping V : Prop → P(X). 4. Let S = (X, O) be a subset frame and V an S-valuation. Then, M := (X, O, V ) is called a subset space (based on S). Note that neighborhood situations denominate the semantic atoms of the bimodal language L.

Definition 3. Let Σ be a signature, T a TBox, and, φ an inclusion over Σ. Given a distance function d and an aggregation function f , T distance-based T entails (d-entails) φ, denoted by T |=d,f ψ, if Λ+ d,f (ΠΣ (T ), TΣ ) ⊆ M od ({φ}). In Example 2, T |=dH ,f s 4 A. Distance-Based Semantics for Knowledge Bases Compared with inconsistency of TBoxes, inconsistency occurring in KBs is much more complex. For instance, 22 X. Zhang et al. Example 3. Let K = ({∃P − ⊥}, {∃P (a)}) be a KB and Σ = {P, a, 1}.

The valuation V of M is constant along every Ri -path, for i ∈ {1, 2} and all proposition variables. The class of all Kripke models induced by a two-agent subset space is contained in the class of all two-agent models, as can be seen easily. It follows that 2LSS is (sound and) complete with respect to the latter class; see the final part of Section 2 above. Therefore, it remains to be proved that this class is closed under filtration. For this purpose, let a 2LSS-consistent formula α ∈ 2SF be given.

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