Page 331 - Materials Chemistry, Second Edition

16.2 Methods 331
improving the non-DEA-efficient scenarios can also be obtained according to the
results of DEA. The holistic framework of the method used in this study is presented in
Fig. 16.1.

16.2.1 Intuitionistic fuzzy AHP
Definition 16.1 Intuitionistic fuzzy set (Atanassov, 1986; Wang et al., 2011). Let X be an
ordinary finite nonempty set, and an intuitionistic fuzzy set A in X can be expressed as:
(16.1)
A
A ¼ ð f A, μ xðÞ, υ A xðÞÞj x 2 Xg
where:
μ A (x):X![0,1] and υ A (x):X![0,1] with condition;
0 μ A (x)+υ A (x) 1 for all x.in X; and

Life cycle sustainability efficiency measurement

Life cycle sustainability assessment

LCA LCC SLCA

The data of the alternative energy and industrial systems with respect to the hard criteria

The intuitionistic fuzzy AHP for determining the relative performances of the alternative energy and
industrial systems with respect to the soft criteria

Data envelopment analysis for judging whether or not the DMUs are DEA-efficient and proposing the
countermeasures for improving the non-DEA-efficient scenario

FIG. 16.1 The holistic framework of the method for life cycle sustainability efficiency measurement.