Information retrieval from interval-valued fuzzy automata through K operators

DOI

10.2991/ifsa-eusflat-15.2015.82How to use a DOI?

Keywords

Interval-valued fuzzy sets, finite state machines, Atanassov’s K operators, transformation semigroups.

Abstract

Here we study the notions of lattice-valued finite state machine and lattice-valued fuzzy transformation semigroup when the lattice consists of all the closed subintervals contained in [0, 1]. So, we can apply techniques of interval-valued fuzzy sets to fuzzy automata. In particular, we prove that Atanassov’s K operators allow us to retrieve the information given by the transition functions of the interval-valued automata. Moreover, we analyze the functorial nature of these operators and characterize those K operators that provide a fuzzy transformation semigroup from an intervalvalued one.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Inmaculada Lizasoain
AU  - Marisol Gómez
AU  - Cristina Moreno
PY  - 2015/06
DA  - 2015/06
TI  - Information retrieval from interval-valued fuzzy automata through K operators
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 571
EP  - 576
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.82
DO  - 10.2991/ifsa-eusflat-15.2015.82
ID  - Lizasoain2015/06
ER  -