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On logic with fuzzy and rough powerset monads
Umeå University, Faculty of Science and Technology, Department of Computing Science.
Umeå University, Faculty of Science and Technology, Department of Computing Science.
2007 (English)In: Rough Sets and Intelligent Systems Paradigms: International Conference, RSEISP 2007, Warsaw, Poland, June 28-30, 2007. Proceedings, Berlin / Heidelberg: Springer , 2007, 391-399 p.Conference paper (Refereed)
Abstract [en]

Non-standard logics departs from traditional logic mostly in extended views, on one hand syntactically related to logical operators, and on the other hand semantically related to truth values. Typical for these approaches is the remaining traditional view on 'sets and relations' and on terms based on signatures. Thus the cornerstones of the languages remain standard, and so does mostly the view on knowledge representation and reasoning using traditional substitution theories and unification styles. In previous papers we have dealt with particular problems such as generalizing terms and substitution, extending our views on sets and relations, and demonstrated the use of these non-standard language elements in various applications such as for fuzzy logic, generalized convergence spaces, rough sets and Kleene algebras. In this paper we provide an overview and summarized picture of what indeed happens when we drop the requirement for using traditional sets with relations and terms with equational settings

Place, publisher, year, edition, pages
Berlin / Heidelberg: Springer , 2007. 391-399 p.
, Lecture Notes in Computer Science, ISSN 0302-9743 ; 4585/2007
URN: urn:nbn:se:umu:diva-23237DOI: 10.1007/978-3-540-73451-2_41ISBN: 978-3-540-73450-5OAI: diva2:222286
Available from: 2009-06-08 Created: 2009-06-08 Last updated: 2009-06-09

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