m-Polar Picture Fuzzy Ideal of a BCK Algebra

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 betweenmpolar PFI andm-polar PFII is established. It is shown that anm-polar PFII of a BCK algebra is anm-polar PFI. But the converse of the proposition is not necessarily true. Converse is true only in implicative BCK algebra. The concept ofm-polar picture fuzzy commutative ideal (PFCI) is also explored here and some related results are investigated.

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