Visible to the public Fuzzy Maximum Satisfiability

TitleFuzzy Maximum Satisfiability
Publication TypeConference Paper
Year of Publication2016
AuthorsEl Halaby, Mohamed, Abdalla, Areeg
Conference NameProceedings of the 10th International Conference on Informatics and Systems
PublisherACM
Conference LocationNew York, NY, USA
ISBN Number978-1-4503-4062-5
Keywords\textbackslashLukasiewicz Logic, cyber physical systems, Fuzzy logic, Fuzzy Satisfiability, Maximum Satisfiability, Metrics, Optimization, pubcrawl, Resiliency
Abstract

In this paper, we extend the Maximum Satisfiability (MaxSAT) problem to Lukasiewicz logic. The MaxSAT problem for a set of formulae F is the problem of finding an assignment to the variables in F that satisfies the maximum number of formulae. Three possible solutions (encodings) are proposed to the new problem: (1) Disjunctive Linear Relations (DLRs), (2)Mixed Integer Linear Programming (MILP) and (3)Weighted Constraint Satisfaction Problem (WCSP). Like its Boolean counterpart, the extended fuzzy MaxSAT will have numerous applications in optimization problems that involve vagueness.

URLhttp://doi.acm.org/10.1145/2908446.2908476
DOI10.1145/2908446.2908476
Citation Keyel_halaby_fuzzy_2016