Fuzzy Multisets and Fuzzy Computing

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Author(s): Apostolos Syropoulos (Greek Molecular Computing Group, Greece)
Copyright: 2016
Pages: 20
Source title: Handbook of Research on Generalized and Hybrid Set Structures and Applications for Soft Computing
Source Author(s)/Editor(s): Sunil Jacob John (National Institute of Technology Calicut, India)
DOI: 10.4018/978-1-4666-9798-0.ch002

Keywords: Artificial Intelligence / Information Science Reference / Library & Information Science / Theoretical Studies

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Abstract

Multisets and Multirelations are extensions of ordinary sets and relations while fuzzy multisets and fuzzy multirelations are fuzzy extensions of these concept. Although many generalizations tend to be meaningless, these are quite useful as one can model things we see every day. In addition, these structures have found uses in the theory of computation. In particular, fuzzy multisets are used in fuzzy models of computation, that is, models of computation where vagueness is manifested by fuzzy sets play central role. These fuzzy models of computation include fuzzy P systems, the fuzzy chemical abstract machine, and fuzzy Petri nets.

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