The conceptual framework of fairness in consensus reaching process under fuzziness

The purpose of this paper is to present briefly the conceptual framework of fairness in the consensus reaching process with novel elements of grasping imprecision in intentions, preferences and adjustments of individuals. All solutions are based on the idea of “soft” degree of consensus under fuzzy preference relations and a fuzzy majority given as a fuzzy linguistic quantifier. Here, we propose a further extension of the human-consistent consensus reaching support system for group decision-making problems. We enhance a new knowledge-based system with socio-psychological aspects of fair behavior which ensures the satisfaction of justified expectations of its participants. We apply the resource allocation model to express fair influence on consensus reaching process among all decision makers. In this paper we present general conditions for fair solution concept to increase the effectiveness of consensus reaching process and a quality of final decision which becomes highly-justified.