Inclusion Measure and Similarity Measure of Intuitionistic and Interval-valued Fuzzy Sets
- 10.2991/iske.2007.178How to use a DOI?
- Inclusion measure, Similarity measure, Intuitionistic value,
We begin the paper studying the axioms that the inclusion measure of an element in another element of a lattice and the similarity measure between two elements should satisfy. Next, we present a series of expressions of inclusion measures, ¯rst for intuitionistic values and then for intuitionistic fuzzy sets ( or interval-valued, since intuitionistic fuzzy set(IFS) and interval-valued fuzzy set (IV FS) have a strong connection), discussing in both cases their properties. Then we discuss similarity measure which can be transformed by the proposed inclusion mea- sure based on their axiomatic denitions. The similarity measures denied by the proposed inclusion measures of IFSs are seem reasonable by the analysis in [Similarity measures between intuitionistic fuzzy (vague) sets: a comparative analysis, Pattern Recognition Letters 28 (2007) 278-285].
- © 2007, 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 - Hongying Zhang AU - Minggao Dong AU - Wenxiu Zhang AU - Xiaoxue Song PY - 2007/10 DA - 2007/10 TI - Inclusion Measure and Similarity Measure of Intuitionistic and Interval-valued Fuzzy Sets BT - Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007) PB - Atlantis Press SP - 1046 EP - 1052 SN - 1951-6851 UR - https://doi.org/10.2991/iske.2007.178 DO - 10.2991/iske.2007.178 ID - Zhang2007/10 ER -