I worked as a custom framer before and framed several pieces that were a similar style to this. You can make it look modern, you just have to choose the right frame and mats. (Though it's not cheap your looking at $100-$300 depending on the size and what components you choose.)

If framing is out of your budget, you could stretch it on a wooden frame yourself. The fabric will wrap around to the back of the frame, squaring up all the edges and making the piece look more finished. It is not easy to stretch it tight enough without distorting the image, but with patience you will manage it.

How big is it? If it's pretty small, you could get away with it in a hallway or as part of a larger grouping of artwork. If it's very large, it's going to be a statement no matter how you display it. Find a room that needs that kind of bold art and make it almost the only art in there.

I agree with angelinethebaker -- stretching it on a wooden frame. I have several oils which are not framed but merely mounted on wood frame & it gives them more of a modern look.

I love it. I have a batik I bought years ago in New Orleans that I am currently not displaying for similar reasons, and only because I don't have a ton of room for it in my new house. I have, however, had two Egyptian papyrus custom framed between two pieces of glass, incorporating a glass border of scaled proportion around the unfinished edges. I thought it was a good way to maintain the rustic/primitive quality of the artwork inside the boundaries of a frame. The blue in your batik is really intoxicating. I think if framed correctly it could easily add a special quality to your modern decor.

If money is an issue you could take it to the framer and see how much it would be to dry mount it then save up for a frame job. AC Moore has 60% off sometimes. I had two watercolor silks in paper from China (cheap from ebay) done that way.

Watch the plastic stick on hanging hardware they might include. The glue does not hold and the foam-core is fragile and dents easily.

Consider using it in a cushion or under glass on a tabletop.

Not knowing the size of your piece, if you baste it onto a firmer fabric, it would make a wonderful bolster-shaped (in proportion to the image) pillow for use on a sofa or bed. If it's small, you can turn the edges under and hand stitch it onto the base fabric. I would do some small hand stitches around selected motifs as well. If you prefer to hang it, you could stretch it over a ready-made canvas from an art supply store, or even a piece of museum board (available at better art supply stores, non-acid, won't harm your fabric) and have a framer make a larger (by 2" or more) acrylic box to "float" it in. As the piece appears very fine, I would use a background mat with more texture to show off its delicate quality.

I had a batik matted and framed a few years ago. The mat is suede-ish and the frame looks like tooled hammered bronze. It's gorgeous and so worth it considering the batik is lovely and now I need not worry about staining, ripping, etc.

I think to keep things modern and tidy, you'll want to frame it. I would recommend a wide white or off-white acid-free mat (if you want the print to last). To save money, you might buy the frame you want and then have the frame shop cut you a mat to size.

I recommend a white, wide mat and white, off white, silver-leaf or gold-leaf (not brushed stainless) or black/dark brown frame because that will probably look the crispest and most modern. For example:

http://www.mrshowardpersonalshopper.com/.a/6a0111683c7ee2970c0167646fb896970b-500wi
and
http://www.jondecollection.com.au/shop/image/cache/data/Art/Brown%20batik%205%201-500x500.jpg
and
h3k0779_1_5_1____9.0_19.75_501658_Batik-V.jpg

On the other hand, a thin or colored mat and/or light wood or colored frame can look dated, depending... However, someone with a skillful eye (not me!) might accomplish something that approximates vintage. This is what I think might happen if one veered away from the thick white mat and white/silver leaf/black frame idea:

http://farm4.staticflickr.com/3344/3242871736_6e34b40c22_z.jpg
or
http://furnishmevintage.com/wp-content/uploads/Mid-Century-Modern-Batik-3.jpg
or
http://globalminorities.org/wp-content/uploads/2011/12/DSCN0006.jpg

Sorry that third link didn't post right. Here it is again. :)

http://www.barewalls.com/i/f/h3k0779_1_5_1____9.0_19.75_501658_Batik-V.jpg

I bought a nice IKAT textile a while ago and I use it as a bed scarf over a plain solid coverlet. It adds some pattern to my room and required no expensive framing!

I have a batik from Africa that I stretched on a wood frame years ago and it still looks great, so a vote for that. A strong voice of dissent against turning it into a cushion or a pillow of some sort. It's a beautiful piece of art that deserves more respect than that.

That's a lovely batik. Depending on the size I think that would look really great framed. If you keep the frame modern (I think something sleek and metal) it won't look hippy-dippy. This site has been recommended here before, but it's a relatively cheap and easy way to get custom frames:

www.americanframe.com

If it's really big, and you're crafty, I might sew it to a heavier fabric like cotton duck or canvas, and hang it from a dowel with loops or curtain clips. Again if it's surrounded by other modern things it won't look un-modern. The design is pretty bold and it's nice to have one or two things that aren't strictly adhering to a certain style.

i think that would look amazing on a foot stool, but i would worry about it having too much wear and tear and ruining it. so i vote for stretching over a blank wrap around canvas as a way of preserving it while keeping it modern while not too expensive.

Framing it in the cheapest possible way sounds like the best option or if you have a window of the similar size then converting it into a roman blind doesn't sound bad either.
If you don't want to flaunt it too much then you could stitch it to a thick fabric or an existing old bed cover and use it as a new bed cover.

I have quite a bit of batik I bought in Indonesia - most all the large pieces are framed. You can frame it yourself if you are not too picky and short on cash. I have one piece that I stuck in a regular large picture frame (like 16 x 20, yours looks larger), backed with cardboard, sans glass.

P.S. I would not use it for a blind - the colors will fade somewhat regardless but doubly fast in a window.

you could use appropriately sized curtain hanging clips and hang it off a wall mounted curtain rod

Ok, I know this thread has been deceased for a good while now but this question popped into my head the other day and I have a new suggestion:

Put it under the glass tabletop of a side table or coffee table. You know the kind of coffee table where you can lift the glass and display things underneath? Or the kind of side table where you can sandwich a tablecloth between the table top and glass top? It would be super pretty if paired with a larger coordinating tablecloth.