Hierarchical Group Compromise Ranking Methodology Based on Euclidean–Hausdorff Distance Measure Under Uncertainty: An Application to Facility Location Selection Problem
الموضوعات :
Seyed Meysam Mousavi
1
(Department of Industrial Engineering, Faculty of Engineering, Shahed University, Tehran, Iran)
Hossein Gitinavard
2
(Department of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran)
Behnam Vahdani
3
(Department of Industrial Engineering, Faculty of Industrial and Mechanical Engineering, Qazvin Branch, Islamic Azad University, Qazvin, Iran)
Nazanin Foroozesh
4
(Department of Industrial Engineering and Management Systems, Amirkabir University of Technology, Tehran, Iran)
الکلمات المفتاحية: Compromise ranking, Last aggregation, Hesitant fuzzy sets, Facility location selection problem, Group decision-making, Euclidean&ndash, Hausdorff distance measure,
ملخص المقالة :
Proposing a hierarchical group compromise method can be regarded as a one of major multi-attributes decision-making tool that can be introduced to rank the possible alternatives among conflict criteria. Decision makers’ (DMs’) judgments are considered as imprecise or fuzzy in complex and hesitant situations. In the group decision making, an aggregation of DMs’ judgments and fuzzy group compromise ranking is more capable and powerful than the classical compromise ranking. This research extends a new hierarchical group compromise ranking methodology under a hesitant fuzzy (HF)environment to handle uncertainty, in which for the margin of error, the DMs could assign the opinions in several membership degrees for an element. The hesitant fuzzy set (HFS)is taken into account for the process of the proposed hierarchical group compromise ranking methodology, namely HFHG-CR, and for avoiding the data loss, the DMs’ opinions with risk preferences are considered for each step separately. Also, the Euclidean–Hausdorff distance measure is utilized in a new proposed index for calculating the average group score, worst group score and compromise measure regarding each DM. A new ranking index is presented for final compromise solution for the evaluation. Proposed HFHG-CR methodology is applied to a practical example for a facility location selection problem, i.e. cross-dock location problem, to show the validation and application.
Ahmad, Jamil, Muhammad Kashif Javed, Muhammad Nazam and Muhammad Nazim 2015. Multiple Criteria Group Decision Making Problem Based on VIKOR Method Under Hesitant Fuzzy Environment. In Proceedings of the Ninth International Conference on Management Science and Engineering Management, 1519-1528: Springer.
Atanassov, Krassimir T 1986. Intuitionistic fuzzy sets. Fuzzy Sets and Systems 20: 87-96.
Atanassov, Krassimir T 1989. More on intuitionistic fuzzy sets. Fuzzy Sets and Systems 33: 37-45.
Atanassov, Krassimir T 2000. Two theorems for intuitionistic fuzzy sets. Fuzzy Sets and Systems 110: 267-269.
Chen, Na, Zeshui Xu and Meimei Xia 2013. Interval-valued hesitant preference relations and their applications to group decision making. Knowledge-Based Systems 37: 528-540.
Chen, Shyi-Ming and Shun-Jhong Niou 2011. Fuzzy multiple attributes group decision-making based on fuzzy preference relations. Expert Systems with Applications 38: 3865-3872.
Chiclana, Francisco, JM Tapia García, Maria Jose del Moral and Enrique Herrera-Viedma 2013. A statistical comparative study of different similarity measures of consensus in group decision making. Information Sciences 221: 110-123.
Darabi, Shiva and Jafar Heydari 2016. An Interval-Valued Hesitant Fuzzy Ranking Method based on Group Decision Analysis for Green Supplier Selection. IFAC-PapersOnLine 49: 12-17.
Ebrahimnejad, S., Hashemi, H., Mousavi, S.M., & Vahdani, B., (2015). A new interval-valued intuitionistic fuzzy model to group decision making for the selection of outsourcing providers, Journal of Economic Computation and Economic Cybernetics Studies and Research, 49(2), 269-290.
Farhadinia, B 2014. Distance and similarity measures for higher order hesitant fuzzy sets. Knowledge-Based Systems 55: 43-48.
Feng, Xie, Wanli Zuo, Junhua Wang and Lizhou Feng 2014. TOPSIS method for hesitant fuzzy multiple attribute decision making. Journal of Intelligent & Fuzzy Systems 26: 2263-2269.
Gitinavard, H, SM Mousavi, B Vahdani and A Siadat 2016. A distance-based decision model in interval-valued hesitant fuzzy setting for industrial selection problems. Scientia Iranica 23: 1928-1940.
Gitinavard, Hossein and Mohammad Hossein Fazel Zarandi 2016. A Mixed Expert Evaluation System and Dynamic Interval-Valued Hesitant Fuzzy Selection Approach. World Academy of Science, Engineering and Technology, International Journal of Mathematical, Computational, Physical, Electrical and Computer Engineering 10: 260-268.
Hashemi, H., Bazargan, J., Mousavi, S.M. & Vahdani B., (2014), An extended compromise ratio model with an application to reservoir flood control operation under an interval-valued intuitionistic fuzzy environment, Applied Mathematical Modelling, 38: 3495–3511.
Herrera-Viedma, Enrique, Francisco Herrera and Francisco Chiclana 2002. A consensus model for multiperson decision making with different preference structures. IEEE Transactions on Systems, Man and Cybernetics, Part A: Systems and Humans, 32: 394-402.
Kacprzyk, Janusz, Mario Fedrizzi and Hannu Nurmi 1992. Group decision making and consensus under fuzzy preferences and fuzzy majority. Fuzzy Sets and Systems 49: 21-31.
Liao, Huchang and Zeshui Xu 2014a. Subtraction and division operations over hesitant fuzzy sets. Journal of Intelligent and Fuzzy Systems 27(1): 65-72.
Liao, Huchang and Zeshui Xu 2013b. A VIKOR-based method for hesitant fuzzy multi-criteria decision making. Fuzzy Optimization and Decision Making 12: 373-392.
Mata, Francisco, Luis Martínez and Enrique Herrera-Viedma 2009. An adaptive consensus support model for group decision-making problems in a multigranular fuzzy linguistic context. IEEE Transactions on Fuzzy Systems, 17: 279-290.
Meng, Dan and Zheng Pei 2013. On weighted unbalanced linguistic aggregation operators in group decision making. Information Sciences 223: 31-41.
Mojtahedi, S Mohammad H, S Meysam Mousavi and Ahmad Makui 2010. Project risk identification and assessment simultaneously using multi-attribute group decision making technique. Safety Science 48: 499-507.
Mousavi, S.M., Gitinavard, H., & Vahdani, B. (2015). Evaluating construction projects by a new group decision-making model based on intuitionistic fuzzy logic concepts, International Journal of Engineering, 28(9): 1312-1319.
Mousavi, S.M., & Vahdani, B. (2016). Cross-docking location selection in distribution systems: a new intuitionistic fuzzy hierarchical decision model", International Journal of Computational Intelligence Systems, 9(1): 91-109.
Rodríguez, Rosa M, Luis Martı́nez and Francisco Herrera 2013. A group decision making model dealing with comparative linguistic expressions based on hesitant fuzzy linguistic term sets. Information Sciences 241: 28-42.
Tavakkoli-Moghaddam, R, SM Mousavi and M Heydar 2011. An integrated AHP-VIKOR methodology for plant location selection. International Journal of Engineering-Transactions B: Applications 24(2): 127- 137.
Tavakkoli-Moghaddam, R., Gitinavard, H., Mousavi, S. M., & Siadat, A. (2015). An interval-valued hesitant fuzzy TOPSIS method to determine the criteria weights. Paper presented at the International Conference on Group Decision and Negotiation.
Torra, Vicenç 2010. Hesitant fuzzy sets. International Journal of Intelligent Systems 25: 529-539.
Torra, V., & Narukawa, Y. (2009). On hesitant fuzzy sets and decision. Paper presented at the Fuzzy Systems, 2009. FUZZ-IEEE 2009. IEEE International Conference on.
Umamaheswari, A and P Kumari 2014. Fuzzy TOPSIS and Fuzzy VIKOR methods using the Triangular Fuzzy Hesitant Sets. International Journal of Computer Science Engineering and Information Technology Research 4: 15-24.
Vahdani, B., Mousavi, S.M., Tavakkoli-Moghaddam, R., Ghodratnama, A. & Mohammadi M., (2014). Robot selection by a multiple criteria complex proportional assessment method under an interval-valued fuzzy environment, International Journal of Advanced Manufacturing Technology, 73(5-8): 687-697.
Wei, Guiwu 2012. Hesitant fuzzy prioritized operators and their application to multiple attribute decision making. Knowledge-Based Systems 31: 176-182.
Wibowo, Santoso and Srimannarayana Grandhi 2016. A group decision making method for high-technology projects selection under hesitant fuzzy environment. In A group decision making method for high-technology projects selection under hesitant fuzzy environment, 2016 Chinese Control and Decision Conference (CCDC), 167-172: IEEE.
Xia, Meimei and Zeshui Xu 2011. Hesitant fuzzy information aggregation in decision making. International Journal of Approximate Reasoning 52: 395-407.
Xia, Meimei, Zeshui Xu and Na Chen 2013. Some hesitant fuzzy aggregation operators with their application in group decision making. Group Decision and Negotiation 22: 259-279.
Xu, Z 2000. On consistency of the weighted geometric mean complex judgment matrix in AHP. Euro. J. Oper. Res. 126: 683–687.
Xu, Zeshui 2008. Group decision making based on multiple types of linguistic preference relations. Information Sciences 178: 452-467.
Xu, Zeshui and Meimei Xia 2011. Distance and similarity measures for hesitant fuzzy sets. Information Sciences 181: 2128-2138.
Xu, Zeshui and Xiaolu Zhang 2013. Hesitant fuzzy multi-attribute decision making based on TOPSIS with incomplete weight information. Knowledge-Based Systems 52: 53-64.
Yu, DJ, YY Wu and Wei Zhou 2012. Generalized hesitant fuzzy Bonferroni mean and its application in multi-criteria group decision making. Journal of information & Computational Science 9: 267-274.
Yu, Lean and Kin Keung Lai 2011. A distance-based group decision-making methodology for multi-person multi-criteria emergency decision support. Decision Support Systems 51: 307-315.
Yu, Miao, Xiaoguang Qi and Guoyun Shen 2016. Research on the supplier selection model of closed-loop logistics systems with hesitant fuzzy information. Journal of Intelligent & Fuzzy Systems 30: 3431-3437.
Yue, Zhongliang 2011. An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making. Expert Systems with Applications 38: 6333-6338.
Yue, Zhongliang 2012. Approach to group decision making based on determining the weights of experts by using projection method. Applied Mathematical Modelling 36: 2900-2910.
Yue, Zhongliang 2014. TOPSIS-based group decision-making methodology in intuitionistic fuzzy setting. Information Sciences. 277: 141-153.
Zhang, Nian and Guiwu Wei 2013. Extension of VIKOR method for decision making problem based on hesitant fuzzy set. Applied Mathematical Modelling 37: 4938-4947.
Zhang, Zhiming 2013. Hesitant fuzzy power aggregation operators and their application to multiple attribute group decision making. Information Sciences 234: 150-181.
Zhang, Zhiming, Chao Wang, Dazeng Tian and Kai Li 2014. Induced generalized hesitant fuzzy operators and their application to multiple attribute group decision making. Computers & Industrial Engineering 67: 116-138.
