MCDM'12 - paper no. 2


 

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THE ANALYSIS OF NEGOTIATORS' PREFERENCE CONSISTENCY IN INDIFFERENCE-SURFACE BASED SCORING SYSTEM

Jakub Brzostowski, Tomasz Wachowicz

Abstract:

In this paper we present a new method for analyzing the consistency of preferences of negotiators in building their scoring systems of negotiation offers. The method we propose can be used when the preferences are defined as general examples of full packages with the accompanying utility score, as it is done in the NegoManage negotiation support system in the conjoint analysis approach. During the preference elicitation stage the negotiators identify the indifference surfaces (or indifference sets) to which they also assign sample alternatives and scores. The verification of such the consistency of this assignment is based on the concept of the Jaccard index, that allows for measuring the similarity between fuzzy sets. Since we obtain a characteristics of equivalence sets in the form of probability distributions, which are further treated as fuzzy set membership functions, we can use the distribution characteristics to compute the Jaccard index for every pair of equivalence sets elicited from the negotiator. If these indexes are too high, the corresponding indifference sets should be reconsidered or integrated.

Keywords:

Negotiation support, negotiation offers? scoring system, preference elicitation, indifference sets, kernel density estimation.

Reference index:

Jakub Brzostowski, Tomasz Wachowicz, (2012), THE ANALYSIS OF NEGOTIATORS' PREFERENCE CONSISTENCY IN INDIFFERENCE-SURFACE BASED SCORING SYSTEM, Multiple Criteria Decision Making (7), pp. 18-37

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