L-fuzzy valued measure and integral

DOI

10.2991/eusflat.2011.30How to use a DOI?

Keywords

L-set, L-fuzzy real number, L-fuzzy valued measure, L-fuzzy valued integral.

Abstract

We continue to develop a construction of an L-fuzzy valued measure by extending a measure defined on a algebra of crisp sets to an L-fuzzy valued measure defined on a TM-tribe in the case when operations with L-sets and L-fuzzy numbers are defined by using the minimum triangular norm TM. We introduce an L-fuzzy valued integral over an L-set with respect to an L-fuzzy valued measure, consider its properties and describe a method of L-fuzzy valued integration.

Copyright

© 2011, 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  - Vecislavs Ruza
AU  - Svetlana Asmuss
PY  - 2011/08
DA  - 2011/08
TI  - L-fuzzy valued measure and integral
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 127
EP  - 131
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.30
DO  - 10.2991/eusflat.2011.30
ID  - Ruza2011/08
ER  -