Coimplications in the set of discrete fuzzy numbers

DOI

10.2991/eusflat.2013.36How to use a DOI?

Keywords

Coimplication function Implication function Discrete fuzzy number Finite chain

Abstract

Given a coimplication function $J$ defined on the finite chain $L_n={0,...,n}$, a method for extending $J$ to the set of discrete fuzzy numbers whose support is an interval contained in $L_n$ (denoted by ${cal A}_1^{L_n}$) is given. The resulting extension is in fact a fuzzy coimplication on ${cal A}_1^{L_n}$ preserving many of the usual properties of coimplications. In particular, duality between implications and coimplications is preserved.

Copyright

© 2013, 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  - Juan Vicente Riera
AU  - Joan Torrens
PY  - 2013/08
DA  - 2013/08
TI  - Coimplications in the set of discrete fuzzy numbers
BT  - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13)
PB  - Atlantis Press
SP  - 247
EP  - 254
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2013.36
DO  - 10.2991/eusflat.2013.36
ID  - Riera2013/08
ER  -