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Soft Computing
Published in: Soft Computing 20/2019

19-03-2019 | Foundations

Bipolar fuzzy matrices

Authors: Madhumangal Pal, Sanjib Mondal

Published in: Soft Computing | Issue 20/2019

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Abstract

In this article, bipolar fuzzy algebra and bipolar fuzzy relation are defined, and then, the bipolar fuzzy matrix is introduced. Also, an order relation (\(\le \)) is defined and it is proved that the bipolar fuzzy set is a poset and a lattice. Some results on transitive closure and power-convergent of bipolar fuzzy matrices are investigated. Some applications of bipolar fuzzy sets and bipolar fuzzy matrix are included in this study.
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Metadata
Title
Bipolar fuzzy matrices
Authors
Madhumangal Pal
Sanjib Mondal
Publication date
19-03-2019
Publisher
Springer Berlin Heidelberg
Published in
Soft Computing / Issue 20/2019
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI
https://doi.org/10.1007/s00500-019-03912-9

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