Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)

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

Authors
Hongying Zhang1, Minggao Dong, Wenxiu Zhang, Xiaoxue Song
1Institute for Information and System Sciences, Faculty of Science
Corresponding Author
Hongying Zhang
Available Online October 2007.
DOI
https://doi.org/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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Volume Title
Proceedings of the 2007 International Conference on Intelligent Systems and Knowledge Engineering (ISKE 2007)
Series
Advances in Intelligent Systems Research
Publication Date
October 2007
ISBN
978-90-78677-04-8
ISSN
1951-6851
DOI
https://doi.org/10.2991/iske.2007.178How to use a DOI?
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/).

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  - https://doi.org/10.2991/iske.2007.178
ID  - Zhang2007/10
ER  -