Piasecki, K.; Roszkowska, E.;Wachowicz, T.; Filipowicz-Chomko, M.; Łyczkowska-Hańckowiak, A. Fuzzy Representation of Principal’s Preferences in Inspire Negotiation Support System. Entropy 2021, 23, 981.

Abstract

We consider the negotiation problem, in which an agent negotiates on behalf of a principal.
Our considerations are focused on the Inspire negotiation support system in which the principal’s
preferences are visualised by circles. In this way, the principal describes the importance of each
negotiation issue and the relative utility of each considered option. The paper proposes how this
preference information may be implemented by the agent for determining a scoring function used
to support decisions throughout the negotiation process. The starting point of our considerations
is a discussion regarding the visualisation of the principal’s preferences. We assume here that the
importance of each issue and the utility of each option increases with the size of the circle repre-
senting them. The imprecise meaning of the notion of “circle size” implies that in a considered case,
the utility of an option should be evaluated by a fuzzy number. The proposed utility fuzzification
is justified by a simple analysis of results obtained from the empirical prenegotiation experiment.
A novel method is proposed to determine trapezoidal fuzzy numbers, which evaluates an option’s
utility using a series of answers given by the participants of the experiment. The utilities obtained
this way are applied to determine the fuzzy scoring function for an agent. By determining such
a common generalised fuzzy scoring system, our approach helps agents handle the differences in
human cognitive processes associated with understanding the principal’s preferences. This work is
the first approach to fuzzification of the preferences in the Inspire negotiation support system.

Keywords

Inspire; negotiation; preferences; fuzzy utility; fuzzy preference

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