Geometric similarity measures for the intuitionistic fuzzy sets
Eulalia Szmidt, Janusz Kacprzyk
Available Online August 2013.
- 10.2991/eusflat.2013.124How to use a DOI?
- Intuitionistic fuzzy sets distances similarity measures
This paper is a continuation of our previous works on geometric similarity measures between Atanassov's intuitionistic fuzzy sets (A-IFSs for short). We consider some traps of the straightforward approach in the case of A-ISs while similarity is understood as a dual concept of a distance. The difficulties are a result of, first, the symmetry of the three terms (the membership, non-membership and hesitation margin) in an A-IFS element description, and second, of an important role played by those three terms in the definition of the complement of the A-IFS which should be taken into account in the similarity measures.
- © 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/).
Cite this article
TY - CONF AU - Eulalia Szmidt AU - Janusz Kacprzyk PY - 2013/08 DA - 2013/08 TI - Geometric similarity measures for the intuitionistic fuzzy sets BT - Proceedings of the 8th conference of the European Society for Fuzzy Logic and Technology (EUSFLAT-13) PB - Atlantis Press SP - 880 EP - 887 SN - 1951-6851 UR - https://doi.org/10.2991/eusflat.2013.124 DO - 10.2991/eusflat.2013.124 ID - Szmidt2013/08 ER -