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11.5 A composite life cycle sustainability index  241
            TABLE 11.8  Other typical indicators for social assessment of the industrial systems (Ren et al., 2016;
            Xu et al., 2018b).
            Indicator     Description
            Social        It represents the degree of the acceptability of the investigated system, which is characterized as
            acceptability  an indicator of individual opinions
            Social benefit  It is a generic indicator that can be defined specifically according to a certain concern with
                          respect to the investigated system, for instance, the benefit of job creation
            Inherent safety  It measures the inherent hazard of the investigated system, which could be extended into the life
            index         cycle perspective
            Government    It refers to the government support regarding establishing and/or running a certain industrial
            support       system by setting corresponding policies


              From the above-mentioned frameworks and indicators, the evaluation of social concerns
            regarding the industrial systems relies heavily on people’s subjective judgements according
            to the specific characteristics and necessities of the investigated system, failing to offer a ge-
            neric social index that embraces both quantifiable and unquantifiable indicators. Therefore,
            more efforts should be put into the development of life cycle-based social indicators for im-
            proving the usability of the S-LCA tools.


                            11.5 A composite life cycle sustainability index

              As stated before, dozens of criteria from the environmental, economic, and social dimen-
            sions can be selected for assessing the industrial systems, resulting in difficulty aggregating
            multiple criteria for representing the overall sustainability. Therefore, this subsection aims at
            developing a novel composite life cycle sustainability index that can integrate multiple
            criteria from the triple-bottom-line concerns for the prioritization of the industrial systems.
            In this subsection, a composite index is proposed, based on the work of Xu et al. (2017,
            2018b). Subsequently, a case of the prioritization of five low-carbon ammonia production sys-
            tems by using the composite index is studied. Finally, sensitivity analysis is conducted for
            demonstrating the feasibility of the composite life cycle sustainability index.


            11.5.1 Development of a composite life cycle sustainability index

              Because of the absence of general standardized indicators, the overall life cycle sustainabil-
            ity of the industrial systems is always hard to measure, especially when dozens of environ-
            mental, economic, and social indicators could be selected. Therefore, this subsection focuses
            on the development of a composite life cycle sustainability index for the prioritization of in-
            dustrial systems.
              Since life cycle-based sustainability can be presented by the TBL-based three-dimension
            (3D) cube, as shown in Fig. 11.6 (Moradi-Aliabadi and Huang, 2016), the overall sustainability
            of an industrial system has recently been depicted by a vector function. In the 3D cube, x, y,
            and z, respectively, stand for the environmental, economic, and social pillars, α, β, and γ are
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