Download Advanced Methods for Inconsistent Knowledge Management by Ngoc Thanh Nguyen PDF

By Ngoc Thanh Nguyen

This ebook is a primary. It fills an immense hole out there and offers a large image of clever applied sciences for inconsistency answer. the necessity for this solution of information inconsistency arises in lots of functional functions of desktops. this type of inconsistency effects from using a variety of assets of information in knowing functional projects. those assets are usually independent and use diversified mechanisms for processing wisdom in regards to the related actual global. this may result in compatibility difficulties.

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38 2. 4. Consistency Functions In this section we present the definitions of five consistency functions and analyze their satisfaction referring to the defined postulates. These functions are defined as follows. Let X = {x1, . . , xM} be a conflict profile. We introduce the following parameters. • The matrix of distances between the elements of profile X: D = X [ ] d ijX ⎡ d ( x1 , x1 ) … d ( x1 , xM ) ⎤ ⎥ . = ⎢⎢ ⎥ ⎢⎣d ( xM , x1 ) d ( xM , xM )⎥⎦ • The vector of average distances between an element to the rest (for M > 1) : WX = ( w1X , w2X , .

We distinguish the following classes of conflict profiles. 1. 3. Conflict Representation 21 (c) Distinguishable, if all its elements are different from each other (d) Multiple, referring to a profile Y (or X is a multiple of Y, written as X = n ∗ Y) if Y = {x1, x2, . . , xk} and X = {n ∗ x1, n ∗ x2, . . , n ∗ xk} for k and n being natural numbers and n > 1 (e) Regular, if it is distinguishable or a multiple of some distinguishable profile As defined above, a conflict profile X ∈ Π(U) contains opinions of conflict participants on the given matter of contention.

5. Conclusions The material on the subject of inconsistency measures for conflict profiles presented in this chapter is partially based on the material included in [83– 85, 118–120]. However, in this chapter many postulates have been modified and postulate P8 has been introduced. Modification of postulates also causes new results of their analysis to arise. In addition, new consistency function c5 has been defined and analyzed. 3. Consensus as a Tool for Conflict Solving In this chapter we present a case study of consensus theory and a general model of consensus.

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