Electronic supplementary material

LifeCycleSustainabilityAssessment

Multi-actor multi-criteria sustainability assessment framework for energy and industrial systems in life cycle perspective under uncertainties. Part 2: improved extension theory

Jingzheng Ren 1,2 • Xusheng Ren3 • Hanwei Liang1 • Liang Dong1,4,5 • Long Zhang6 • Xiao Luo7,8 • Yingkui Yang9 • Zhiqiu Gao10*

Received: 2 May 2016 / Accepted: 7 December 2016

© Springer-Verlag Berlin Heidelberg 2016

Responsible editor: AdisaAzapagic

1Collaborative Innovation Center on Forecast and Evaluation of Meteorological Disaster, School of Geography and Remote Sensing, Nanjing University of Information Science & Technology, Nanjing 210044, China

2Centre for Sustainable Engineering Operations Management, Department of Technology and Innovation, University of Southern Denmark, Campusvej 55, 5230 Odense M, Denmark

3School of Chemistry and Chemical Engineering, Chongqing University, 400044 Chongqing, China

4CML, Leiden University, Leiden, The Netherlands

5Center for Social and Environmental Systems Research, National Institute for Environmental Studies (NIES), Onogawa 16-2, Tsukuba-City, Ibaraki 305-8506, Japan

6School of Economics and Management, China University of Geosciences, Wuhan 430074, China

7College of Architecture and Urban Planning, Tongji University, No.1239, Siping road, Shanghai, China

8Shanghai Tongji Urban Planning & Design Institute, No. 1111, North Zhongshan road, Shanghai, China

9Department of Environmental and Business Economics, University of Southern Denmark, Niels BohrsVej 9, DK-6700 Esbjerg, Denmark

10State Key Laboratory of Atmospheric Boundary Layer Physics and Atmospheric Chemistry, Institute of Atmospheric Physics, Chinese Academy of Sciences, Beijing, China

Jingzheng Ren

;

Zhiqiu Gao

Appendix A

Table A1 The interval comparison matrix of the four aspects in the first hierarchy

Economic / Technological / Social / Environment
Economic / 1 / <1,2>,<2,3>,<2,3>
<2,3>,<3,4> / <3,5>,<3,4>,<5,7>,<2,3>,<3,5> / <3,4>,<4,6>,<4,6>,<2,3>,<3,5>
Technological / <1/3,1/2>,<1/2,1>,<1/4,1/3>,<1/2,1>,<1/4,1/2> / 1 / <1,2>,<2,3>,<2,3>,<3,4>,<1,3> / <1,2>,<2,3>,<2,3>,<2,3>,<3,4>
Social / <1/5,1/4>,<1/3,1/2>,<1/5,1/3>,<1/7,1/6>,<1/5,1/3> / <1/2,1>,<1/2,1>,<1/4,1/3>,<1/3,1>,<1/2,1> / 1 / <1,2>,<2,3>,<1,2>,<1,2>,<1,2>,,<1,3>
Environment / <1/4,1/3>,<1/5,1/3>,<1/6,1/4>,<1/4,1/3>,<1/5,1/3> / <1/2,1>,<1/3,1>,<1/2,1/3>,<1/3,1/2>,<1/3,1> / <1/2,1>,<1/3,1>,<1/2,1>,<1/4,1/2>,<1/3,1/2> / 1

(a1)

(a2)

(a3)

(a4)

CI=0.03 (a5)

CR=0.04<0.1 (a6)

(a7)

(a8)

(a9)

Table A2 The average deviation of the weights of the four aspects

Aspect / Environment / Technological / Social / Economic
The deviation / 0.00260 / 0.00086 / 0.00031 / -0.0037

Table A3 The average weights of the four aspects

Aspect / Environment / Technological / Social / Economic
Weighting coefficient / 0.4625 / 0.2571 / 0.1573 / 0.1231

Table A4 The interval comparison matrix of the three indicators in the economic aspect

IC / NPV / IRR
IC / 1 / <1/3,1/2>,<1/3,1/2>,<1/3,1/2>,<1/2,1/4>,<1/2,1> / <1,2>,<2,3>,<2,3>,<1,2>,<2,3>
NPV / <1,3>,<1,2>,<2,3>,<2,3>,<1,3> / 1 / <2,4>,<2,3>,<3,5>,<3,4>,<2,4>
IRR / <1/4,1/2>,<1/2,1>,<1/3,1/2>,<1/3,1/2>,<1/3,1/2> / <1/4,1/2>,<1/4,1/2>,<1/3,1/2>,<1/4,1/3>,<1/4,1/2> / 1

(a10)

(a11)

(a12)

(a13)

CI=0 (a14)

CI=0<0.1 (a15)

(a16)

(a17)

(a18)

(a19)

Table A5 The average weights of the three indicators

Indicator / IC / NPV / IRR
Weights / 0.2767 / 0.5684 / 0.1549

Table A6 The interval comparison matrix of the three aspects in the social aspect

ILC / AJ
ILC / 1 / <1/2,1>,<1/3,1>,<1/2,1>,<1/3,1/2<1/2,1>,
AJ / <1,2>,<1,3>,<2,3>,<2,3>,<2,3> / 1

(a20)

(a21)

(a22)

(a23)

CI=0 (a24)

CI=0<0.1 (a25)

(a26)

(a27)

(a28)

(a29)

(a30)

Table A7 The interval comparison matrix of the three aspects in the environment aspect

PCOP / GWP / AP
PCOP / 1 / <1/2,1>,<1/3,1/2>,<1/2,1>,<1/2,1/3>,<1/2,1> / <1/3,1/2>,<1/3,1/2>,<1/4,1/2>,<1/3,1/2>,<1/3,1/2>
GWP / <1,2>,<1,2>,<2,3>,<2,3>,<1,2> / 1 / <1/2,1>,<1/3,1>,<1/3,1/2>,<1/4,1/3>,<1/4,1/2>
AP / <2,3>,<1,3>,<2,4>,<1,2>,<2,3> / <1,2>,<1,2>,<2,3>,<1,3>,<1,2> / 1

(a31)

(a32)

(a33)

(a34)

CI=0.00005 (a35)

CI=0.000086<0.1 (a36)

(a37)

(a38)

(a39)

(a40)

Table A8 The average weighting coefficients of the three indicators in environment aspect

Indicator / PCOP / GWP / AP
Weights / 0.1900 / 0.2955 / 0.5146