By a News Reporter-Staff News Editor at Journal of Mathematics -- Current study results on Mathematics have been published. According to news originating from Nanchang, People’s Republic of China, by VerticalNews correspondents, research stated, “This paper aims to develop a new hesitant fuzzy mathematical programming method for hybrid multi criteria group decision making (MCGDM) with hesitant fuzzy truth degrees and incomplete criteria weight information. In this method, the types of assessment information on criteria are expressed by Atanassov intuitionistic fuzzy sets, hesitant fuzzy sets, trapezoidal fuzzy numbers, intervals and real numbers, respectively.”
Financial supporters for this research include National Natural Science Foundation of China, Natural Science Foundation of Jiangxi Province, Science and Technology Project.
Our news journalists obtained a quote from the research from the Jiangxi University of Finance and Economics, “Firstly, the distances of each alternative to positive ideal solution (PIS) and negative ideal solution (NIS) are calculated. Then the hesitant fuzzy positive ideal group consistency index (HFPGCI) and hesitant fuzzy positive ideal group inconsistency index (HFPGICI), the hesitant fuzzy negative ideal group consistency index (HFNGCI) and hesitant fuzzy negative ideal group inconsistency index (HFNGICI) are defined, respectively. To derive the PIS, NIS and the criteria weights simultaneously, a new four-objective hesitant fuzzy mathematical programming model is constructed by minimizing the HFPGICI and HFNGICI as well as maximizing the HFPGCI and HFNGCI. Using the geometric-mean score functions of hesitant fuzzy sets, the four-objective programming model is transformed to a single objective program to resolve. Subsequently, the relative closeness degrees of alternatives for each decision maker (DM) are obtained and applied to derive the individual ranking order of alternatives. To generate the collective ranking order of alternatives, a multi-objective assignment model is established and converted into a single objective programming model to resolve. Thus, a new hesitant fuzzy mathematical programming method is proposed to solve hybrid MCGDM.”
According to the news editors, the research concluded: “Finally, a real example is provided to demonstrate the applicability and validity of the proposed method.”
For more information on this research see: A hesitant fuzzy mathematical programming method for hybrid multi-criteria group decision making with hesitant fuzzy truth degrees. Knowledge-Based Systems , 2017;138():232-248. Knowledge-Based Systems can be contacted at: Elsevier Science Bv, PO Box 211, 1000 Ae Amsterdam, Netherlands. (Elsevier - www.elsevier.com; Knowledge-Based Systems - http://www.journals.elsevier.com/knowledge-based-systems/)
The news correspondents report that additional information may be obtained from S.P. Wan, Jiangxi Univ Finance & Econ, Coll Informat Technol, Nanchang 330013, Jiangxi, People’s Republic of China. Additional authors for this research include Y.L. Qin and J.Y. Dong.
The direct object identifier (DOI) for that additional information is: https://doi.org/10.1016/j.knosys.2017.10.002. 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: (2018-01-09), Researchers from Jiangxi University of Finance and Economics Report on Findings in Mathematics (A hesitant fuzzy mathematical programming method for hybrid multi-criteria group decision making with hesitant fuzzy truth degrees), Journal of Mathematics, 208, ISSN: 1945-8746, BUTTER® ID: 014954569
From the newsletter Journal of Mathematics.
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