Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory

DOI

10.2991/eusflat.2011.144How to use a DOI?

Keywords

Aggregation function, arithmetic mean, quasi-arithmetic mean, OWA function, interval-valued fuzzy set, Atanassov's intuitionistic fuzzy set

Abstract

In this paper we propose an extension of the wellknown OWA functions introduced by Yager to interval-valued (IVFS) and Atanassov's intuitionistic (AIFS) fuzzy set theory. We first extend the arithmetic and the quasi-arithmetic mean using the arithmetic operators in IVFS and AIFS theory and investigate under which conditions these means are idempotent. Since on the unit interval the construction of the OWA function involves reordering the input values, we propose a way of transforming the input values in IVFS and AIFS theory to a new list of input values which are now ordered.

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  - Glad Deschrijver
PY  - 2011/08
DA  - 2011/08
TI  - Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory
BT  - Proceedings of the 7th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-11)
PB  - Atlantis Press
SP  - 506
EP  - 513
SN  - 1951-6851
UR  - https://doi.org/10.2991/eusflat.2011.144
DO  - 10.2991/eusflat.2011.144
ID  - Deschrijver2011/08
ER  -