We combine logical and distributional representations of natural language meaning by transforming distributional similarity judgments into weighted inference rules using Markov Logic Networks (MLNs). We show that this framework supports both judging sentence similarity and recognizing textual entailment by appropriately adapting the MLN implementation of logical connectives. We also show that d...

A fuzzy logic based methodology for knowledge acquisition is developed and used for retrieval of temporal cases in a case-based reasoning (CBR) system. The methodology is used to acquire knowledge about what salient features of continuous-vector, unique temporal cases indicate significant similarity between cases. Such knowledge is encoded in a similarity-measuring function and thereby used to ...

FASILL (acronym of “Fuzzy Aggregators and Similarity Into a Logic Language”) is a fuzzy logic programming language with implicit/explicit truth degree annotations, a great variety of connectives and unification by similarity. FASILL integrates and extends features coming from MALP (Multi-Adjoint Logic Programming, a fuzzy logic language with explicitly annotated rules) and Bousi∼Prolog (which u...

We present a logic, called fuzzy attribute logic, for reasoning about formulas describing particular attribute dependencies. The formulas are of a form A ⇒ B where A and B are collections of attributes. Our formulas can be interpreted in two ways. First, in data tables with entries containing degrees to which objects (table rows) have attributes (table columns). Second, in database tables where...

In this sequel to a companion paper [1], we complement our analysis of the binary projections of the International Trade Network (ITN) by considering its weighted representations. We show that, unlike the binary case, all possible weighted representations of the ITN (directed/undirected, aggregated/disaggregated) cannot be traced back to local structural properties, which are therefore of limit...

We study the logic of comparative concept similarity CSL introduced by Sheremet, Tishkovsky, Wolter and Zakharyaschev to capture a form of qualitative similarity comparison. In this logic we can formulate assertions of the form ” objects A are more similar to B than to C”. The semantics of this logic is defined by structures equipped with distance functions evaluating the similarity degree of o...