Weighted Compensative Logic With Adjustable Threshold Andness and Orness

The threshold andness is a border between soft and hard partial conjunction (similarly, the threshold orness is a border between soft and hard partial disjunction). This paper presents a weighted compensative logic based on aggregators that use adjustable threshold andness and orness. The adjustability of threshold andness/orness is a new degree of freedom in weighted logics, which is suitable for increasing the precision of evaluation criteria developed by evaluation experts. We investigate the distribution of threshold andness and present a new form of interpolative aggregators that provide adjustable threshold andness and orness. Our goal is to use a new verbalized approach, based on decomposing the perception of overall importance, for designing the generalized conjunction/disjunction (GCD) aggregators. The verbalized approach helps specify parameters that affect both the formal logic properties and the semantic properties of GCD, facilitating the use of soft computing evaluation logic and corresponding evaluation methods.