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Experimental Analysis and Modeling of Human Conjunctive Logic Aggregation

Decision making is a mental process of evaluation of existing alternatives and selection of the best among sufficiently suitable alternatives. The motivation is to attain desired goals of specific stakeholder/decision-maker. This is a natural process based on intuitive evaluation criteria. The criteria include the aggregation of graded logic values that are degrees of truth or fuzzy membership. The logic properties of this decision process are observable, measurable, modellable, and explainable. In decision engineering, such models are necessary for development of decision support systems. In this paper we present experiments designed for investigating and modeling mental aggregation in the case of conjunctive criteria. We use all versions of the graded conjunction/disjunction and include experimental analysis of wider spectrum of aggregators than the models previously investigated in the literature. Two forms of conjunctive aggregation are identified and investigated: (1) the logic aggregation used for modeling the simultaneity of properties of analyzed objects, and (2) the logic aggregation of degrees of realization of simultaneous goals of decision-maker. These two types of graded logic functions have different characteristic properties that are identified, modelled, and analyzed in the paper.