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Incremental Reasoning on Strongly Distributed Fuzzy Systems

Authors:
Elena Ravve
Zeev Volkovich

Keywords: Fuzzy systems; Incremental reasoning; Reduction sequences; Syntactically defined translation schemes; Translations; Transductions.

Abstract:
We introduce the notion of strongly distributed {em fuzzy} systems and present a uniform approach to incremental problem solving on them. The approach is based on the systematic use of two logical reduction techniques: Feferman-Vaught reductions and syntactically defined translation schemes. The fuzzy systems are presented as logical structures $fA$'s. The problems are presented as fuzzy formulae on them. We propose a uniform template for methods, which allow (for a certain cost) evaluation of formulae of fuzzy logic $mcL$ over $fA$ from values of formulae over its components and values of formulae over the index structure $cI$.

Pages: 61 to 66

Copyright: Copyright (c) IARIA, 2016

Publication date: November 13, 2016

Published in: conference

ISSN: 2308-4529

ISBN: 978-1-61208-513-5

Location: Barcelona, Spain

Dates: from November 13, 2016 to November 17, 2016