New PDF release: Advanced Methods for Inconsistent Knowledge Management

By Professor Ngoc Thanh Nguyen DSc, PhD (auth.)

Inconsistent wisdom administration is a standard sub-field of data administration and clash answer. It offers with tools for reconciling inconsistent contents of information originating from varied assets. This e-book offers a unified and systematic description of a large type of miscellaneous difficulties of inconsistent wisdom administration, analyzed through conventional mathematical tools utilizing relational and logical representations. With distinct emphasis at the distribution point of data inconsistency, Professor Nguyen presents a different method of formal types of inconsistency and algorithms for its resolution.

Features & issues include:

• Consensus as a device for clash solving

• Inconsistency of data – syntactic & semantic

• wisdom clash model

• Ontology Integration

• functional points of purposes of proposed methods

This e-book presents a huge image of clever applied sciences for inconsistency answer and gives a useful resource of reference at the subject. Written for researchers and scholars within the box of data administration, clash resolution and clever platforms, this booklet may also be of use to designers of multi-agent and data platforms and experts from social selection conception, and all drawn to the issues of processing and dealing with inconsistent knowledge.

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Extra info for Advanced Methods for Inconsistent Knowledge Management

Example text

They should reflect this structure, however, not necessarily in a precise and correct way. ) is occupied by different autonomous units (such as experts or agents). Then the solutions of the problem or the variants of the choice given by the experts (or agents) may differ from each other. In such a case a particular method is desired that makes it possible to deduce from the set of given alternatives only one alternative to be used in further processing. This class contains two well-known consensus problems: the Alternatives Ranking Problem and Committee Election Problem.

Postulate for greater consistency: Let d(x,X) = Σy∈X d(x,y) denote the sum of distances between an element x of universe U and the elements of profile X. Let D(X) = {d(x,X): x ∈ U} be the set of all such sums. For any profiles X, Y ∈ Π(U) the following dependency should be true, 28 2. Model of Knowledge Conflict ⎛ min ( D( X )) min ( D(Y )) ⎞ ⎜⎜ ⎟ ⇒ (c(X) ≥ c(Y)). ≤ card (Y ) ⎟⎠ ⎝ card ( X ) P7a. Postulate for consistency improvement: Let a and a′ be such elements of universe U that d(a,X) = min {d(x,X): x ∈ X} and d(a′,X) = min {d(x,X): x ∈ U}; then c(X–{a}) ≤ c(X) ≤ c(X ∪ {a′}).

For each situation (A, P) and each pair of alternatives x, y ∈ A, a number p(x,y) is defined that is equal to the number of orders included in P in which the alternative x precedes the alternative y. Hence, if an order p contains n alternatives then p(x, y) + p(y, x) = n for x ≠ y. Moreover a binary relation Wp on A is defined as (x, y) ∈ Wp if and only if p(x, y) > p(y, x). The problem is based on defining a consensus choice function which should determine an alternative on the basis of a situation (A, P).

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