Aggregation of Partial T-Indistinguishability Operators

DOI

10.2991/eusflat-19.2019.8How to use a DOI?

Keywords

Aggregation interexchange composition condition partial indistinguishability operator partial pseudometric triangular norm

Abstract

We focus on the aggregation of partial T-indistinguishability operators. We provide a characterization of those functions that allow to merge a collection of partial T-indistinguishability operators into a new one in terms of (+, max)-tuples. Moreover, we see that this is equivalent to the characterization by means of (T, min)-tuples given by by Calvo et al. in 2018. Also, we analyze the aggregation of a collection Ei, i=1,...n, of partial Ti-indistinguishability operators. Moreover, we show that a generalized inter-exchange composition function condition is a sufficient condition to guarantee that a function merges partial Ti-indistinguishability operators into a single one. Finally, we give different expressions of those aggregation functions defined by means of the additive generators of the corresponding t-norms and another specific function.

Copyright

© 2019, 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  - Tomasa Calvo
AU  - Pilar Fuster
PY  - 2019/08
DA  - 2019/08
TI  - Aggregation of Partial T-Indistinguishability Operators
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 52
EP  - 59
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.8
DO  - 10.2991/eusflat-19.2019.8
ID  - Calvo2019/08
ER  -