International Journal of Computational Intelligence Systems

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Volume 10, Issue 1, 2017, Pages 851 - 865

Analyses of S-boxes based on interval valued intuitionistic fuzzy sets and image encryption

Authors
Saleem Abdullah1, saleemabdullah81@yahoo.com saleemabdullah@awkum.edu.pk, Sanam Ayub2, sanumayub@gmail.com, Iqtadar Hussain3, iqtadarqau@gmail.com, Benjamin Bedregal4, bedregal@dimap.ufrn.br, Muhammad Yaqub Khan5, muhammad.yaqub@riphah.edu.pk
1Department of Mathematics, Abdul Wali Khan University, Mardan, KPK, Pakistan*
2,5Department of Mathematics & Statistic, Riphah International University, Islamabad, Pakistan
3Department of Mathematics, King Khalid University Abha, Saudi Arabia
4Department of Informatics and Applied Mathematics, Federal University of Rio Grande do Norte, Natal - Rio Grande do Norte- Brazil
Corresponding author Saleem Abdullah
Available Online 1 January 2017.
DOI
10.2991/ijcis.2017.10.1.57How to use a DOI?
Keywords
S-box; Image encryption; IVIFS; TOPSIS Method; Decision Making
Abstract

Decision making implies selection of the best decision from a set of possible options. In some cases, this selection is based on past experience. Past experience is used to analyse the situations and the choice made in these situations. The aim of this work is to analyse the strength of the nonlinear component (S-box) of block cipher for image encryption applications based on Interval Valued Intuitionistic Fuzzy Sets (IVIFS). S-box is the only component in every block cipher which creates confusion in the data. First, we transform the three dimensional matrix corresponding to colour image with the help of nonlinear component and then use the algebraic structure of IVIFS to choose the best substitution box for image encryption based on entropy, contrast, homogeneity, correlation, energy and mean of absolute devotion. The analyses show that the readings of S8 S-box is very good for image data.

Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
10 - 1
Pages
851 - 865
Publication Date
2017/01/01
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.2017.10.1.57How to use a DOI?
Copyright
© 2017, the Authors. Published by Atlantis Press.
Open Access
This is an open access article under the CC BY-NC license (http://creativecommons.org/licences/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Saleem Abdullah
AU  - Sanam Ayub
AU  - Iqtadar Hussain
AU  - Benjamin Bedregal
AU  - Muhammad Yaqub Khan
PY  - 2017
DA  - 2017/01/01
TI  - Analyses of S-boxes based on interval valued intuitionistic fuzzy sets and image encryption
JO  - International Journal of Computational Intelligence Systems
SP  - 851
EP  - 865
VL  - 10
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.2017.10.1.57
DO  - 10.2991/ijcis.2017.10.1.57
ID  - Abdullah2017
ER  -