The "supermarche" (supermarket) on the west end of PARLY 2 has gone through five incarnations since opening in late 1969. The store was originally branded as Suma, a chain which had originated in 1960.
Graphic from http://www.archi-wiki.org / Suma (supermarche)

In 1995, the store was rebranded under the ATAC nameplate.
Graphic from http://www.atac.fr / The Auchan Group

In 2009, the store was given its second name change. It would be known, henceforth, as Simply Market, a chain owned and operated by Auchan Retail, based in Croix, France. 

Graphic from http://www.groupe-auchan.com / The Auchan Group

During 2015, the supermarche at Parly 2 was renovated, transforming it to a more upscale, "gourmet" format. The store's new nameplate -its fourth- now read Simply Market Gourmand. 

Graphic from http://www.groupe-auchan.com / The Auchan Group

In 2018, a fifth nameplate was installed at the PARLY 2 store. The Auchan company consolidated all of its grocery divisions under the Auchan banner.

Graphic from http://www.groupe-auchan.com / The Auchan Group