Code Sample, a copy-pastable example if possible

In [2]: idx = pd.IntervalIndex.from_tuples([(2, 3), (1, 2), (0, 1)], closed='neither')

In [3]: idx
Out[3]:
IntervalIndex([(2, 3), (1, 2), (0, 1)]
              closed='neither',
              dtype='interval[int64]')

In [4]: idx.is_monotonic_decreasing
Out[4]: False

This also incorrectly returns False for is_monotonic:

In [5]: idx.is_monotonic
Out[5]: False

However, is_non_overlapping_monotonic does correctly return True:

In [6]: idx.is_non_overlapping_monotonic
Out[6]: True

Problem description

The intervals are monotonic decreasing but the is_monotonic_decreasing and is_monotonic attributes are returning False.

Expected Output

I'd expect both is_monotonic_decreasing and is_monotonic to return True.

Output of pd.show_versions()

INSTALLED VERSIONS ------------------ commit: None python: 3.5.2.final.0 python-bits: 64 OS: Windows OS-release: 10 machine: AMD64 processor: Intel64 Family 6 Model 78 Stepping 3, GenuineIntel byteorder: little LC_ALL: None LANG: None LOCALE: None.None pandas: 0.20.1 pytest: 3.0.7 pip: 9.0.1 setuptools: 34.4.1 Cython: 0.25.2 numpy: 1.13.0rc2 scipy: 0.18.1 xarray: 0.9.5 IPython: 5.3.0 sphinx: None patsy: 0.4.1 dateutil: 2.6.0 pytz: 2017.2 blosc: 1.4.4 bottleneck: 1.2.0 tables: 3.4.2 numexpr: 2.6.1 feather: None matplotlib: 2.0.2 openpyxl: 2.4.0 xlrd: 1.0.0 xlwt: None xlsxwriter: None lxml: 3.7.3 bs4: None html5lib: None sqlalchemy: 1.1.10 pymysql: None psycopg2: None jinja2: 2.9.6 s3fs: None pandas_gbq: 0.1.6 pandas_datareader: 0.4.0

Comment From: jschendel

Looks like this is a dupe of #16554. I initially thought they were distinct issues, as a MultiIndex isn't explicitly being used, but it looks like the IntervalIndex version of is_monotonic_decreasing just borrows the MultiIndex version though _multiindex.