Answer Set Programming for Continuous Domains: A Fuzzy Logic Approach / by Jeroen Janssen, Steven Schockaert, Dirk Vermeir, Martine De Cock.

Format:

Book

Author/Creator:

Janssen, Jeroen, author.

Schockaert, Steven, author.

Vermeir, Dirk, 1952- author.

Cock, Martine de, author.

Contributor:

SpringerLink (Online service)

Series:

Computer Science (Springer-11645)

Atlantis computational intelligence systems 1875-7650 ; 5.

Atlantis Computational Intelligence Systems, 1875-7650 ; 5

Language:

English

Subjects (All):

Computer logic.

Logic design.

Computer simulation.

Logic.

Logics and Meanings of Programs.

Logic Design.

Simulation and Modeling.

Local Subjects:

Logics and Meanings of Programs.

Logic Design.

Simulation and Modeling.

Logic.

Physical Description:

1 online resource (X, 174 pages).

Edition:

First edition 2012.

Contained In:

Springer eBooks

Place of Publication:

Paris : Atlantis Press : Imprint: Atlantis Press, 2012.

System Details:

text file PDF

Summary:

Answer set programming (ASP) is a declarative language tailored towards solving combinatorial optimization problems. It has been successfully applied to e.g. planning problems, configuration and verification of software, diagnosis and database repairs. However, ASP is not directly suitable for modeling problems with continuous domains. Such problems occur naturally in diverse fields such as the design of gas and electricity networks, computer vision and investment portfolios. To overcome this problem we study FASP, a combination of ASP with fuzzy logic -- a class of manyvalued logics that can handle continuity. We specifically focus on the following issues: 1. An important question when modeling continuous optimization problems is how we should handle overconstrained problems, id est problems that have no solutions. In many cases we can opt to accept an imperfect solution, id est a solution that does not satisfy all the stated rules (constraints). However, this leads to the question: what imperfect solutions should we choose? We investigate this question and improve upon the state-of-the-art by proposing an approach based on aggregation functions. 2. Users of a programming language often want a rich language that is easy to model inches However, implementers and theoreticians prefer a small language that is easy to implement and reason about. We create a bridge between these two desires by proposing a small core language for FASP and by showing that this language is capable of expressing many of its common extensions such as constraints, monotonically decreasing functions, aggregators, S-implicators and classical negation. 3. A well-known technique for solving ASP consists of translating a program P to a propositional theory whose models exactly correspond to the answer sets of P. We show how this technique can be generalized to FASP, paving the way to implement efficient fuzzy answer set solvers that can take advantage of existing fuzzy reasoners.

Contents:

Introduction

Preliminaries

Fuzzy Answer Set Programming

Aggregated Fuzzy Answer Set Programming

Core Fuzzy Answer Set Programming

Reducing FASP to Fuzzy SAT

Conclusions.

Other Format:

Printed edition:

ISBN:

978-94-91216-59-6

9789491216596

Access Restriction:

Restricted for use by site license.