International Journal of Computational Intelligence Systems

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Volume 13, Issue 1, 2020, Pages 409 - 420

m-Polar Picture Fuzzy Ideal of a BCK Algebra

Authors
Shovan Dogra, Madhumangal Pal*
Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore 721102, India
*Corresponding author. Email: mmpalvu@gmail.com
Corresponding Author
Madhumangal Pal
Received 17 December 2019, Accepted 26 March 2020, Available Online 14 April 2020.
DOI
10.2991/ijcis.d.200330.001How to use a DOI?
Keywords
m-polar picture fuzzy ideal; Homomorphism of m-polar picture fuzzy ideal; m-polar picture fuzzy implicative ideal; m-polar picture fuzzy commutative ideal
Abstract

In this paper, the notions of m-polar picture fuzzy subalgebra (PFSA), m-polar picture fuzzy ideal (PFI) and m-polar picture fuzzy implicative ideal (PFII) of BCK algebra are introduced and some related basic results are presented. A relation between m-polar PFI and m-polar PFII is established. It is shown that an m-polar PFII of a BCK algebra is an m-polar PFI. But the converse of the proposition is not necessarily true. Converse is true only in implicative BCK algebra. The concept of m-polar picture fuzzy commutative ideal (PFCI) is also explored here and some related results are investigated.

Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
International Journal of Computational Intelligence Systems
Volume-Issue
13 - 1
Pages
409 - 420
Publication Date
2020/04/14
ISSN (Online)
1875-6883
ISSN (Print)
1875-6891
DOI
10.2991/ijcis.d.200330.001How to use a DOI?
Copyright
© 2020 The Authors. Published by Atlantis Press SARL.
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Shovan Dogra
AU  - Madhumangal Pal
PY  - 2020
DA  - 2020/04/14
TI  - m-Polar Picture Fuzzy Ideal of a BCK Algebra
JO  - International Journal of Computational Intelligence Systems
SP  - 409
EP  - 420
VL  - 13
IS  - 1
SN  - 1875-6883
UR  - https://doi.org/10.2991/ijcis.d.200330.001
DO  - 10.2991/ijcis.d.200330.001
ID  - Dogra2020
ER  -