Quasi-arithmetic means and OWA functions in interval-valued and Atanassov's intuitionistic fuzzy set theory
Available Online August 2011.
- https://doi.org/10.2991/eusflat.2011.144How to use a DOI?
- Aggregation function, arithmetic mean, quasi-arithmetic mean, OWA function, interval-valued fuzzy set, Atanassov's intuitionistic fuzzy set
- 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
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 PB - Atlantis Press SP - 506 EP - 513 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2011.144 DO - https://doi.org/10.2991/eusflat.2011.144 ID - Deschrijver2011/08 ER -