Deriving coordinated experts’ weights based on sequential quadratic programming algorithm for multi-attribute group decision making

When evaluating the closeness between the decision matrix given by each expert and the overall decision matrix, we should pay more attention to the consistency of the ranking of candidates rather than the deviation degree of the scoring size. Therefore, in this paper, the modified cosine distance me...

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Published in:	Soft computing (Berlin, Germany) Vol. 27; no. 8; pp. 4865 - 4878
Main Authors:	He, Jianqing, Yang, Yanxia
Format:	Journal Article
Language:	English
Published:	Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2023
Subjects:	Artificial Intelligence Computational Intelligence Control Engineering Mathematical Logic and Foundations Mechatronics Robotics Soft Computing in Decision Making and in Modeling in Economics Group decision-making Combined method Coordinated weights of experts SQP algorithm
ISSN:	1432-7643, 1433-7479
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Abstract	When evaluating the closeness between the decision matrix given by each expert and the overall decision matrix, we should pay more attention to the consistency of the ranking of candidates rather than the deviation degree of the scoring size. Therefore, in this paper, the modified cosine distance measure, instead of the Euclidean distance measure, is used to calculate the proximity between each expert decision matrix and the overall decision matrix. Furthermore, in order to receive more reasonable weights of experts, a new definition of coordinated expert weights in an optimization way is proposed. And then, the sequential quadratic programming (SQP) algorithm is used to derive the coordinated weights of experts, which is not affected by the selection of the initial value of expert weights and can objectively reflect the scoring level of each expert. Since different sorting methods would have inconsistent sorting results, a combined method based on SQP algorithm to derive the coordinated weights of different sorting methods is proposed to promote the ability of ranking the alternatives. Finally, numerical experiments are used to demonstrate the effectiveness of the SQP algorithm to derive coordinated expert weights with the modified cosine distance measure and the superiority of the combined method to rank alternatives.
AbstractList	When evaluating the closeness between the decision matrix given by each expert and the overall decision matrix, we should pay more attention to the consistency of the ranking of candidates rather than the deviation degree of the scoring size. Therefore, in this paper, the modified cosine distance measure, instead of the Euclidean distance measure, is used to calculate the proximity between each expert decision matrix and the overall decision matrix. Furthermore, in order to receive more reasonable weights of experts, a new definition of coordinated expert weights in an optimization way is proposed. And then, the sequential quadratic programming (SQP) algorithm is used to derive the coordinated weights of experts, which is not affected by the selection of the initial value of expert weights and can objectively reflect the scoring level of each expert. Since different sorting methods would have inconsistent sorting results, a combined method based on SQP algorithm to derive the coordinated weights of different sorting methods is proposed to promote the ability of ranking the alternatives. Finally, numerical experiments are used to demonstrate the effectiveness of the SQP algorithm to derive coordinated expert weights with the modified cosine distance measure and the superiority of the combined method to rank alternatives.
Author	Yang, Yanxia He, Jianqing
Author_xml	– sequence: 1 givenname: Jianqing surname: He fullname: He, Jianqing organization: Faculty of Mathematics and Computer Science, Guangdong Ocean University – sequence: 2 givenname: Yanxia surname: Yang fullname: Yang, Yanxia email: 18382406200@163.com organization: Faculty of Electronic and Information Engineering, Guangdong Ocean University
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References	Yue, Jia (CR38) 2015; 87 Deng (CR11) 1989; 1 Yue (CR35) 2012; 36 Gndogdu, Kahraman (CR12) 2019; 36 Akram, Garg, Zahid (CR3) 2020; 17 Kahraman, Ruan, Dogan (CR17) 2003; 157 Joshi, Kumar (CR14) 2016; 248 Tian, Wang, Wang, Zhang (CR23) 2017; 37 Ramot, Milo, Friedman, Kandel (CR21) 2002; 10 Hwang, Lin (CR13) 1987 Yue (CR37) 2012; 19 Nocedal, Wright (CR20) 2000 Xu (CR29) 2007; 177 Yang, He (CR31) 2021; 17 Yue (CR34) 2011; 38 Torra (CR22) 2010; 25 Ma, Zhou, Li (CR19) 2007; 34 Xu (CR28) 2007; 15 Atanassov (CR6) 1986; 20 Xu, Hu (CR27) 2010; 9 Abdel-Basset, Manogaran, Gamal, Smarandache (CR1) 2019; 26 Chen, Yang (CR10) 2011; 35 Chen, Tsao (CR9) 2008; 159 Ju, Wang (CR15) 2012; 39 Akram, Luqman, Alcantud (CR5) 2021; 33 Akram, Kahraman, Zahid (CR4) 2021; 25 Ullah, Mahmood, Ali, Jan (CR24) 2020; 6 Yue (CR36) 2012; 36 CR8 Ju, Wang (CR16) 2013; 37 Akram, Arshad (CR2) 2019; 28 Ma (CR18) 2010 Yuan, Sun (CR32) 1997 Biswas, Pramanik, Giri (CR7) 2016; 27 Yager (CR30) 2013; 22 Wei (CR25) 2010; 25 Yue (CR33) 2019; 132 Wei (CR26) 2010; 37 M Akram (7663_CR4) 2021; 25 Y Ju (7663_CR15) 2012; 39 M Akram (7663_CR2) 2019; 28 JL Deng (7663_CR11) 1989; 1 C Kahraman (7663_CR17) 2003; 157 J Nocedal (7663_CR20) 2000 CF Ma (7663_CR18) 2010 ZL Yue (7663_CR37) 2012; 19 YX Yuan (7663_CR32) 1997 M Akram (7663_CR5) 2021; 33 ZL Yue (7663_CR34) 2011; 38 FK Gndogdu (7663_CR12) 2019; 36 GW Wei (7663_CR26) 2010; 37 ZS Xu (7663_CR28) 2007; 15 YX Yang (7663_CR31) 2021; 17 C Yue (7663_CR33) 2019; 132 Y Ju (7663_CR16) 2013; 37 7663_CR8 V Torra (7663_CR22) 2010; 25 K Ullah (7663_CR24) 2020; 6 ZL Yue (7663_CR38) 2015; 87 D Ramot (7663_CR21) 2002; 10 RR Yager (7663_CR30) 2013; 22 ZL Yue (7663_CR35) 2012; 36 Z Xu (7663_CR27) 2010; 9 P Biswas (7663_CR7) 2016; 27 ZL Yue (7663_CR36) 2012; 36 ZP Chen (7663_CR10) 2011; 35 K Atanassov (7663_CR6) 1986; 20 TY Chen (7663_CR9) 2008; 159 D Joshi (7663_CR14) 2016; 248 GW Wei (7663_CR25) 2010; 25 ZP Tian (7663_CR23) 2017; 37 M Abdel-Basset (7663_CR1) 2019; 26 CL Hwang (7663_CR13) 1987 YH Ma (7663_CR19) 2007; 34 ZS Xu (7663_CR29) 2007; 177 M Akram (7663_CR3) 2020; 17
References_xml	– volume: 19 start-page: 872 issue: 3 year: 2012 end-page: 878 ident: CR37 article-title: Application of the projection method to determine weights of decision makers for group decision making publication-title: Sci Iran doi: 10.1016/j.scient.2012.03.008 – volume: 36 start-page: 2900 issue: 7 year: 2012 end-page: 2910 ident: CR36 article-title: Approach to group decision making based on determining the weights of experts by using projection method publication-title: Appl Math Model doi: 10.1016/j.apm.2011.09.068 – year: 2000 ident: CR20 publication-title: Numerical optimization – volume: 33 start-page: 5675 issue: 11 year: 2021 end-page: 5703 ident: CR5 article-title: Risk evaluation in failure modes and effects analysis: hybrid TOPSIS and ELECTRE I solutions with Pythagorean fuzzy information publication-title: Neural Comput Appl doi: 10.1007/s00521-020-05350-3 – volume: 36 start-page: 4106 issue: 9 year: 2012 end-page: 4117 ident: CR35 article-title: Developing a straightforward approach for group decision making based on determining weights of decision makers publication-title: Appl Math Model doi: 10.1016/j.apm.2011.11.041 – volume: 1 start-page: 1 issue: 1 year: 1989 end-page: 24 ident: CR11 article-title: Introduction to grey system theory publication-title: J Grey Syst – ident: CR8 – volume: 27 start-page: 727 issue: 3 year: 2016 end-page: 737 ident: CR7 article-title: TOPSIS method for multi-attribute group decision-making under single-valued neutrosophic environment publication-title: Neural Comput Appl doi: 10.1007/s00521-015-1891-2 – volume: 38 start-page: 11665 issue: 9 year: 2011 end-page: 11670 ident: CR34 article-title: Deriving decision maker’s weights based on distance measure for interval-valued intuitionistic fuzzy group decision making publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2011.03.046 – year: 1987 ident: CR13 publication-title: Group decision making under multiple criteria: methods and applications doi: 10.1007/978-3-642-61580-1 – volume: 10 start-page: 171 issue: 2 year: 2002 end-page: 186 ident: CR21 article-title: Complex fuzzy sets publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/91.995119 – volume: 36 start-page: 337 issue: 1 year: 2019 end-page: 352 ident: CR12 article-title: Spherical fuzzy sets and spherical fuzzy TOPSIS method publication-title: J Intell Fuzzy Syst doi: 10.3233/JIFS-181401 – volume: 37 start-page: 7895 year: 2010 end-page: 7900 ident: CR26 article-title: A method for multiple attribute group decision making based on the ET-WG and ET-OWG operators with 2-tuple linguistic information publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2010.04.047 – volume: 20 start-page: 87 issue: 1 year: 1986 end-page: 96 ident: CR6 article-title: Intuitionistic fuzzy sets publication-title: Fuzzy Sets Syst doi: 10.1016/S0165-0114(86)80034-3 – volume: 9 start-page: 267 issue: 2 year: 2010 end-page: 280 ident: CR27 article-title: Projection models for intuitionistic fuzzy multiple attribute decision making publication-title: Int J Inf Tech Decis doi: 10.1142/S0219622010003816 – year: 1997 ident: CR32 publication-title: Optimal theory and methods – volume: 37 start-page: 9031 issue: 20 year: 2013 end-page: 9040 ident: CR16 article-title: Projection method for multiple criteria group decision making with incomplete weight information in linguistic setting publication-title: Appl Math Model doi: 10.1016/j.apm.2013.04.027 – volume: 34 start-page: 177 year: 2007 end-page: 180 ident: CR19 article-title: The method of determining the weights of decision-makers based on the maximizing deviation publication-title: J B Univ Chem Technol – volume: 17 start-page: 5 issue: 1 year: 2021 end-page: 29 ident: CR31 article-title: A novel method based on fixed point iteration and improved TOPSIS method for multi-attribute group decision making publication-title: Int J Innov Comput I – volume: 26 start-page: 597 issue: 3 year: 2019 end-page: 627 ident: CR1 article-title: A group decision making framework based on neutrosophic TOPSIS approach for smart medical device selection publication-title: J Med Syst – volume: 15 start-page: 1179 issue: 6 year: 2007 end-page: 1187 ident: CR28 article-title: Intuitionistic fuzzy aggregation operators publication-title: IEEE T Fuzzy Syst doi: 10.1109/TFUZZ.2006.890678 – volume: 157 start-page: 135 year: 2003 end-page: 153 ident: CR17 article-title: Fuzzy group decision-making for facility location selection publication-title: Inform Sci doi: 10.1016/S0020-0255(03)00183-X – volume: 132 start-page: 98 year: 2019 end-page: 113 ident: CR33 article-title: Projection-based approach to group decision-making with hybrid information representations and application to software quality evaluation publication-title: Comput Ind Eng doi: 10.1016/j.cie.2019.04.012 – volume: 22 start-page: 958 issue: 4 year: 2013 end-page: 965 ident: CR30 article-title: Pythagorean membership grades in multi-criteria decision making publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/TFUZZ.2013.2278989 – volume: 25 start-page: 10771 issue: 16 year: 2021 end-page: 10795 ident: CR4 article-title: Extension of TOPSIS model to the decision-making under complex spherical fuzzy information publication-title: Soft Comput doi: 10.1007/s00500-021-05945-5 – volume: 6 start-page: 15 issue: 1 year: 2020 end-page: 27 ident: CR24 article-title: On some distance measures of complex Pythagorean fuzzy sets and their applications in pattern recognition publication-title: Comp Intell Syst doi: 10.1007/s40747-019-0103-6 – volume: 35 start-page: 4424 year: 2011 end-page: 4437 ident: CR10 article-title: A new multiple attribute group decision making method in intuitionistic fuzzy setting publication-title: Appl Math Model doi: 10.1016/j.apm.2011.03.015 – volume: 87 start-page: 202 year: 2015 end-page: 212 ident: CR38 article-title: A group decision making model with hybrid intuitionistic fuzzy information publication-title: Comput Ind Eng doi: 10.1016/j.cie.2015.05.016 – volume: 159 start-page: 1410 issue: 11 year: 2008 end-page: 1428 ident: CR9 article-title: The interval-valued fuzzy TOPSIS method and experimental analysis publication-title: Fuzzy Set Syst doi: 10.1016/j.fss.2007.11.004 – volume: 17 start-page: 147 issue: 5 year: 2020 end-page: 164 ident: CR3 article-title: Extensions of ELECTRE-I and TOPSIS methods for group decision-making under complex Pythagorean fuzzy environment publication-title: Iran J Fuzzy Syst – volume: 177 start-page: 2363 year: 2007 end-page: 2379 ident: CR29 article-title: Intuitionistic preference relations and their application in group decision making publication-title: Inform Sci doi: 10.1016/j.ins.2006.12.019 – volume: 37 start-page: 5531 issue: 4 year: 2017 end-page: 5549 ident: CR23 article-title: Simplified neutrosophic linguistic multi-criteria group decision-making approach to green product development publication-title: Group Decis Negot – volume: 28 start-page: 565 issue: 3 year: 2019 end-page: 584 ident: CR2 article-title: A novel trapezoidal bipolar fuzzy TOPSIS method for group decision-making publication-title: Group Decis Negot doi: 10.1007/s10726-018-9606-6 – volume: 25 start-page: 623 issue: 3 year: 2010 end-page: 634 ident: CR25 article-title: Extension of TOPSIS method for 2-tuple linguistic multiple attribute group decision making with incomplete weight information publication-title: Knowl Inf Syst doi: 10.1007/s10115-009-0258-3 – year: 2010 ident: CR18 publication-title: Optimization method and MATLAB program design – volume: 25 start-page: 529 issue: 6 year: 2010 end-page: 539 ident: CR22 article-title: Hesitant fuzzy sets publication-title: Int J Intell Syst – volume: 248 start-page: 183 issue: 1 year: 2016 end-page: 191 ident: CR14 article-title: Interval-valued intuitionistic hesitant fuzzy Choquet integral based TOPSIS method for multi-criteria group decision making publication-title: Eur J Oper Res doi: 10.1016/j.ejor.2015.06.047 – volume: 39 start-page: 1315 issue: 1 year: 2012 end-page: 1323 ident: CR15 article-title: Emergency alternative evaluation under group decision makers: a method of incorporating DS/AHP with extended TOPSIS publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2011.08.012 – volume: 1 start-page: 1 issue: 1 year: 1989 ident: 7663_CR11 publication-title: J Grey Syst – volume-title: Optimal theory and methods year: 1997 ident: 7663_CR32 – volume: 38 start-page: 11665 issue: 9 year: 2011 ident: 7663_CR34 publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2011.03.046 – volume: 20 start-page: 87 issue: 1 year: 1986 ident: 7663_CR6 publication-title: Fuzzy Sets Syst doi: 10.1016/S0165-0114(86)80034-3 – volume: 25 start-page: 623 issue: 3 year: 2010 ident: 7663_CR25 publication-title: Knowl Inf Syst doi: 10.1007/s10115-009-0258-3 – volume: 37 start-page: 5531 issue: 4 year: 2017 ident: 7663_CR23 publication-title: Group Decis Negot – volume: 6 start-page: 15 issue: 1 year: 2020 ident: 7663_CR24 publication-title: Comp Intell Syst doi: 10.1007/s40747-019-0103-6 – volume: 87 start-page: 202 year: 2015 ident: 7663_CR38 publication-title: Comput Ind Eng doi: 10.1016/j.cie.2015.05.016 – volume: 26 start-page: 597 issue: 3 year: 2019 ident: 7663_CR1 publication-title: J Med Syst – volume: 28 start-page: 565 issue: 3 year: 2019 ident: 7663_CR2 publication-title: Group Decis Negot doi: 10.1007/s10726-018-9606-6 – volume: 177 start-page: 2363 year: 2007 ident: 7663_CR29 publication-title: Inform Sci doi: 10.1016/j.ins.2006.12.019 – volume: 132 start-page: 98 year: 2019 ident: 7663_CR33 publication-title: Comput Ind Eng doi: 10.1016/j.cie.2019.04.012 – volume: 27 start-page: 727 issue: 3 year: 2016 ident: 7663_CR7 publication-title: Neural Comput Appl doi: 10.1007/s00521-015-1891-2 – volume: 248 start-page: 183 issue: 1 year: 2016 ident: 7663_CR14 publication-title: Eur J Oper Res doi: 10.1016/j.ejor.2015.06.047 – volume-title: Group decision making under multiple criteria: methods and applications year: 1987 ident: 7663_CR13 doi: 10.1007/978-3-642-61580-1 – volume: 39 start-page: 1315 issue: 1 year: 2012 ident: 7663_CR15 publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2011.08.012 – volume: 36 start-page: 4106 issue: 9 year: 2012 ident: 7663_CR35 publication-title: Appl Math Model doi: 10.1016/j.apm.2011.11.041 – volume: 34 start-page: 177 year: 2007 ident: 7663_CR19 publication-title: J B Univ Chem Technol – volume: 9 start-page: 267 issue: 2 year: 2010 ident: 7663_CR27 publication-title: Int J Inf Tech Decis doi: 10.1142/S0219622010003816 – volume: 22 start-page: 958 issue: 4 year: 2013 ident: 7663_CR30 publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/TFUZZ.2013.2278989 – volume: 17 start-page: 5 issue: 1 year: 2021 ident: 7663_CR31 publication-title: Int J Innov Comput I – volume: 159 start-page: 1410 issue: 11 year: 2008 ident: 7663_CR9 publication-title: Fuzzy Set Syst doi: 10.1016/j.fss.2007.11.004 – volume: 25 start-page: 10771 issue: 16 year: 2021 ident: 7663_CR4 publication-title: Soft Comput doi: 10.1007/s00500-021-05945-5 – volume: 33 start-page: 5675 issue: 11 year: 2021 ident: 7663_CR5 publication-title: Neural Comput Appl doi: 10.1007/s00521-020-05350-3 – volume: 37 start-page: 9031 issue: 20 year: 2013 ident: 7663_CR16 publication-title: Appl Math Model doi: 10.1016/j.apm.2013.04.027 – volume: 35 start-page: 4424 year: 2011 ident: 7663_CR10 publication-title: Appl Math Model doi: 10.1016/j.apm.2011.03.015 – volume-title: Numerical optimization year: 2000 ident: 7663_CR20 – volume: 10 start-page: 171 issue: 2 year: 2002 ident: 7663_CR21 publication-title: IEEE Trans Fuzzy Syst doi: 10.1109/91.995119 – volume: 17 start-page: 147 issue: 5 year: 2020 ident: 7663_CR3 publication-title: Iran J Fuzzy Syst – volume: 15 start-page: 1179 issue: 6 year: 2007 ident: 7663_CR28 publication-title: IEEE T Fuzzy Syst doi: 10.1109/TFUZZ.2006.890678 – volume: 36 start-page: 2900 issue: 7 year: 2012 ident: 7663_CR36 publication-title: Appl Math Model doi: 10.1016/j.apm.2011.09.068 – ident: 7663_CR8 doi: 10.1109/WICT.2013.7113099 – volume: 157 start-page: 135 year: 2003 ident: 7663_CR17 publication-title: Inform Sci doi: 10.1016/S0020-0255(03)00183-X – volume-title: Optimization method and MATLAB program design year: 2010 ident: 7663_CR18 – volume: 25 start-page: 529 issue: 6 year: 2010 ident: 7663_CR22 publication-title: Int J Intell Syst – volume: 37 start-page: 7895 year: 2010 ident: 7663_CR26 publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2010.04.047 – volume: 19 start-page: 872 issue: 3 year: 2012 ident: 7663_CR37 publication-title: Sci Iran doi: 10.1016/j.scient.2012.03.008 – volume: 36 start-page: 337 issue: 1 year: 2019 ident: 7663_CR12 publication-title: J Intell Fuzzy Syst doi: 10.3233/JIFS-181401
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Snippet	When evaluating the closeness between the decision matrix given by each expert and the overall decision matrix, we should pay more attention to the consistency...
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SubjectTerms	Artificial Intelligence Computational Intelligence Control Engineering Mathematical Logic and Foundations Mechatronics Robotics Soft Computing in Decision Making and in Modeling in Economics
Title	Deriving coordinated experts’ weights based on sequential quadratic programming algorithm for multi-attribute group decision making
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