Interpolative Boolean Algebra for Generalizations of Intuitionistic Fuzzy Sets

DOI

10.2991/eusflat-19.2019.94How to use a DOI?

Keywords

Intuitionistic fuzzy sets Interpolative Boolean algebra Generalizations of intuitionistic fuzzy sets Liu’s generalized IFS IFS-interpretational triangle

Abstract

The idea of this paper is to investigate intuitionistic fuzzy set (IFS) generalizations and make one step further into that direction by introducing interpolative Boolean algebra (IBA) to Liu’s generalized IFS. First, we aim to give an overview of the existing attempts to generalize or alter the definition of IFS and to underline the most general approach. Further, Liu’s bipolar I-fuzzy sets (LBIFSs) are introduced as the most universal case of Liu’s generalized intuitionistic fuzzy sets. Finally, IBA-based operations are introduced to deal with LBIFS. In the proposed LBIFS-IBA approach, all Boolean laws are fulfilled. The special attention is dedicated to laws of the excluded middle and contradiction.

Copyright

© 2019, 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  - Pavle Milošević
AU  - Bratislav Petrović
PY  - 2019/08
DA  - 2019/08
TI  - Interpolative Boolean Algebra for Generalizations of Intuitionistic Fuzzy Sets
BT  - Proceedings of the 11th Conference of the European Society for Fuzzy Logic and Technology (EUSFLAT 2019)
PB  - Atlantis Press
SP  - 676
EP  - 681
SN  - 2589-6644
UR  - https://doi.org/10.2991/eusflat-19.2019.94
DO  - 10.2991/eusflat-19.2019.94
ID  - Milošević2019/08
ER  -