Spherical Fuzzy Linear Assignment Method for Multiple Criteria Group Decision-Making Problems
Volume 31, Issue 4 (2020), pp. 707–722
Yaser Donyatalab
Seyed Amin Seyfi-Shishavan
Elmira Farrokhizadeh
Fatma Kutlu Gündoğdu
Cengiz Kahraman
Pub. online: 2 December 2020
Type: Research Article
Open Access
Open Access
Received
1 March 2020
1 March 2020
Accepted
1 October 2020
1 October 2020
Published
2 December 2020
2 December 2020
Abstract
Spherical fuzzy sets theory is useful and advantageous for handling uncertainty and imprecision in multiple attribute decision-making problems by considering membership, non-membership, and indeterminacy degrees. In this paper, by extending the classical linear assignment method, we propose a novel method called the spherical fuzzy linear assignment method (SF-LAM) to solve multiple criteria group decision-making problems in the spherical fuzzy environment. A ranking procedure consisting of aggregation functions, score functions, accuracy functions, weighted rank frequency, and a binary mathematical model are presented to determine the criterion-wise preferences and various alternatives’ priority order. The proposed method’s applicability and validity are shown through the selection problem among wind power farm locations. The proposed method helps managers to find the best location to construct the wind power plant based on the determined criteria. Finally, a comparative analysis is performed between the proposed spherical fuzzy linear assignment (SF-LAM) model and the spherical fuzzy analytic hierarchy process (SF-AHP) and spherical fuzzy WASPAS methods.
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Biographies
Donyatalab Yaser
Y. Donyatalab is a master student at Istanbul Technical University in the Industrial Engineering Department. His research areas are multi-criteria decision-making, fuzzy optimization, fuzzy mathematics, fuzzy inference system and fuzzy decision-making. He published some journal and conference papers in the mentioned fields.
Seyfi-Shishavan Seyed Amin
S.A. Seyfi-Shishavan is a master student at Istanbul Technical University in the Industrial Engineering Department. His research areas are mathematical programming, healthcare optimization, multi-criteria decision-making, fuzzy optimization and fuzzy decision-making. He published some journal and conference papers in the mentioned fields.
Farrokhizadeh Elmira
E. Farrokhizadeh is a PhD student at Istanbul Technical University in the Industrial Engineering Department. Her research areas are mathematical programing, healthcare optimization, multi-criteria decision-making, fuzzy optimization and fuzzy decision-making. She published some journal and conference papers in the mentioned fields.
Kutlu Gündoğdu Fatma
F. Kutlu Gündoğdu is an assistant professor at National Defence University in the Industrial Engineering Department. Her research areas are quality control and management, statistical decision-making, multi-criteria decision-making, spherical fuzzy sets, fuzzy optimization and fuzzy decision-making. She published many journal papers and conference papers in the mentioned fields.
Kahraman Cengiz
C. Kahraman is a full professor at Istanbul Technical University. His research areas are engineering economics, quality control and management, statistical decision-making, multi-criteria decision-making and fuzzy decision making. He published about 260 journal papers and about 190 conference papers. He became the guest editor of many international journals and the editor of many international books from Springer and Atlantis Press. He is the member of editorial boards of 20 international journals. He organized various international conferences. He was the vice dean of ITU Management Faculty between 2004–2007 and the head of ITU Industrial Engineering Department between 2010–2013.
