Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology

Introducing Interpolative Boolean algebra into Intuitionistic fuzzy sets

Authors
Pavle Miloševic, Ana Poledica, Aleksandar Rakicevic, Bratislav Petrovi, Dragan Radojevi
Corresponding Author
Pavle Miloševic
Available Online June 2015.
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.196How to use a DOI?
Keywords
Interpolative Boolean algebra, Intuitionistic fuzzy sets, IFS operations, law of excluded middle, law of contradiction.
Abstract

In this paper, we introduce Interpolative Boolean alge-bra (IBA) as a suitable algebra for intuitionistic fuzzy sets (IFSs). IBA is [0,1]-valued realization of Boolean algebra, consistent with Boolean axioms and theorems. IFS theory takes into account both membership and non-membership function, so it can be viewed as a ge-neralization of the traditional fuzzy set theory. We pro-pose a realization of IFS conjunction and disjunction operations based on IBA. This may be viewed as a ge-neralized framework for IFS-IBA calculus. Finally, we investigate the validity of the laws of contradiction and excluded middle in our approach.

Copyright
© 2015, 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 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
Series
Advances in Intelligent Systems Research
Publication Date
June 2015
ISBN
978-94-62520-77-6
ISSN
1951-6851
DOI
https://doi.org/10.2991/ifsa-eusflat-15.2015.196How to use a DOI?
Copyright
© 2015, 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  - Pavle Miloševic
AU  - Ana Poledica
AU  - Aleksandar Rakicevic
AU  - Bratislav Petrovi
AU  - Dragan Radojevi
PY  - 2015/06
DA  - 2015/06
TI  - Introducing Interpolative Boolean algebra into Intuitionistic fuzzy sets
BT  - Proceedings of the 2015 Conference of the International Fuzzy Systems Association and the European Society for Fuzzy Logic and Technology
PB  - Atlantis Press
SP  - 1389
EP  - 1394
SN  - 1951-6851
UR  - https://doi.org/10.2991/ifsa-eusflat-15.2015.196
DO  - https://doi.org/10.2991/ifsa-eusflat-15.2015.196
ID  - Miloševic2015/06
ER  -