Inclusion Measure and Similarity Measure of Intuitionistic and Interval-valued Fuzzy Sets

DOI

10.2991/iske.2007.178How to use a DOI?

Keywords

Inclusion measure, Similarity measure, Intuitionistic value,

Abstract

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].

Copyright

© 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/).

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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  -