Characteristic forms of generalized conjunction/disjunction

In this paper we investigate seven special cases and nine characteristic forms of generalized conjunction/disjunction. They include the concepts of hard and soft partial conjunction and hard and soft partial disjunction, and their combinations. We analyze the threshold values of andness and orness that define the border between the hard and soft partial conjunction and partial disjunction. In addition, we propose new forms of aggregators that have adjustable values of andness and orness thresholds.