A Fuzzy Logic Programming Environment for Managing Similarity and Truth Degrees

TL;DR

FASILL is a fuzzy logic programming environment that combines similarity-based unification and truth degree annotations, extending previous languages to enhance flexible reasoning and query answering.

Contribution

It introduces a unified framework integrating features from MALP and BousiProlog, with detailed syntax, semantics, and implementation of core modules.

Findings

Successfully manages similarity and truth degrees in a single environment.

Extends FLOPER system with new modules for lattice and similarity.

Provides a comprehensive implementation and operational semantics.

Abstract

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 uses a weak unification algorithm and is well suited for flexible query answering). Hence, it properly manages similarity and truth degrees in a single framework combining the expressive benefits of both languages. This paper presents the main features and implementations details of FASILL. Along the paper we describe its syntax and operational semantics and we give clues of the implementation of the lattice module and the similarity module, two of the main building blocks of the new programming environment which enriches the FLOPER system developed in our research group.