By a News Reporter-Staff News Editor at Computers, Networks & Communications -- A new study on Mathematics is now available. According to news reporting out of Nanchang, People’s Republic of China, by VerticalNews editors, research stated, “This paper develops a Pythagorean fuzzy (PF) mathematical programming method to solve multi-attribute group decision-making problems under PF environments. The main work is summarized as four aspects: (1) Considering the fuzziness and hesitancy in pairwise comparisons of alternatives, we firstly introduce PF sets to depict the fuzzy truth degrees of alternative comparisons. (2) According to the information entropy, individual subjective attribute weight vectors of decision makers (DMs) are calculated and integrated into a collective one by a cross-entropy optimization model.”
Financial supporters for this research include The National Natural Science Foundation of China, Young scientists Training object of Jiangxi province, The Natural Science Foundation of Jiangxi Province of China, “Thirteen five” Programming Project of Jiangxi province Social Science, The Science and Technology Project of Jiangxi province educational department of China, The Jiangxi Provincial Humanities and Social Sciences Research Project.
Our news journalists obtained a quote from the research from the Jiangxi University of Finance and Economics, “Then DMs’ weights are objectively derived from the collective subjective attribute weight vector. (3) PF group consistency and inconsistency indices are defined based on PF-positive ideal solution (PFPIS) and PF-negative ideal solution (PFNIS), respectively. To determine comprehensive attribute weights, a biobjective PF mathematical programming model is constructed through minimizing two inconsistency indices based on PFPIS and PFNIS simultaneously. A linear programming method is technically developed to solve this model. (4) Using the cross-entropy again, collective relative closeness degrees of alternatives are explicitly derived to rank the alternatives.”
According to the news editors, the research concluded: “Finally, an example of green supplier selection is analyzed to verify the effectiveness of the proposed method.”
For more information on this research see: Pythagorean fuzzy mathematical programming method for multi-attribute group decision making with Pythagorean fuzzy truth degrees. Knowledge and Information Systems , 2018;55(2):437-466. Knowledge and Information Systems can be contacted at: Springer London Ltd, 236 Grays Inn Rd, 6TH Floor, London WC1X 8HL, England. (Springer - www.springer.com; Knowledge and Information Systems - http://www.springerlink.com/content/0219-1377/)
Our news journalists report that additional information may be obtained by contacting S.P. Wan, Jiangxi Univ Finance & Econ, Coll Informat Technol, Nanchang 330013, Jiangxi, People’s Republic of China. Additional authors for this research include Z. Jin and J.Y. Dong.
The direct object identifier (DOI) for that additional information is: https://doi.org/10.1007/s10115-017-1085-6. This DOI is a link to an online electronic document that is either free or for purchase, and can be your direct source for a journal article and its citation.
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CITATION: (2018-04-19), New Mathematics Study Findings Reported from Jiangxi University of Finance and Economics (Pythagorean fuzzy mathematical programming method for multi-attribute group decision making with Pythagorean fuzzy truth degrees), Computers, Networks & Communications, 432, ISSN: 1944-1568, BUTTER® ID: 015511345
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