基于简单中性集的一类加权平均算子及其应用
A New Weighted Average Operator Based on Simplified Neutrosophic and Its Application
DOI: 10.12677/ORF.2016.64016, PDF, HTML, XML, 下载: 1,777  浏览: 4,694  科研立项经费支持
作者: 胡 瑞, 魏梦瑾, 孙洪春：临沂大学理学院，山东 临沂
关键词: 中性集合；麦克劳林平均；电子商务；Neutrosophic Set； Maclaurin Mean； E-Commerce
摘要: 本文，提出了一类新的简单中性集加权平均算子，记为简单中性集加权麦克劳林平均(NWMM)。同时，详细证明了NWMM聚合公式，并探讨了NWMM的一些性质。最后，给出了NWMM在电子商务应用中的数值实验。
Abstract: In this paper, a new simplified neutrosophic weighted average operator is presented, which is named as the simplified Neutrosophic Weighted Maclaurin Mean (NWMM). At the same time, the aggregated formula of NWMM is also established and showed in detail, and some properties of NWMM are researched. Finally, a practical application in E-commerce of the developed method is given.
文章引用：胡瑞, 魏梦瑾, 孙洪春. 基于简单中性集的一类加权平均算子及其应用[J]. 运筹与模糊学, 2016, 6(4): 122-128. http://dx.doi.org/10.12677/ORF.2016.64016

参考文献

[1] Smarandache, F. (1998) Neutrosophy: Neutrosophic Probability, Set, and Logic. American Research Press, Rehoboth.
[2] Wang, H., Smarandache, F., Sunderraman, R. and Zhang, Y.Q. (2005) Interval Neutrosophic Sets and Logic: Theory and Applications in Computing. Hexis, Phoenix.
[3] Wang, H., Smarandache, F., Zhang, Y.Q. and Sunderraman, R. (2010) Single Valued Neutrosophic Sets. Multispace Multistructure, 4, 410-413.
[4] Ye, J. (2014) A Multicriteria Decision-Making Method Using Aggregation Op-erators for Simplified Neutrosophic Sets. Journal of Intelligent and Fuzzy Systems, 26, 2459-2466.
[5] Ye, J. (2014) Single Valued Neutrosophic Cross-Entropy for Multicriteria Decision Making Problems. Applied Mathematical Modelling, 38, 1170-1175.
http://dx.doi.org/10.1016/j.apm.2013.07.020
[6] Peng, J.J., Wang, J.Q., Wang, J., Zhang, H.Y. and Chen, X.H. (2016) Simpli-fied Neutrosophic Sets and Their Applications in Multi-Criteria Group Decision-Making Problems. International Journal of Systems Science, 47, 2342-2358.
http://dx.doi.org/10.1080/00207721.2014.994050
[7] Maclaurin, C. (1729) A Second Letter to Martin Folkes, Esq.; Concerning the Roots of Equations, with Demonstration of Other Rules of Algebra. Philosophical Transactions of the Royal Society of London Series A, 36, 59-96.
http://dx.doi.org/10.1098/rstl.1729.0011
[8] Detemple, D. and Robertson, J. (1979) On Generalized Symmetric Means of Two Variables. University of Belgrade Publikacije Elektrotehničkog Fakulteta. Serija Matematikai Fizika, No. 634/677, 236-238.
[9] Bapat, R.B. (1993) Symmetric Function Means and Permanents. Linear Algebra and Its Applications, 182, 101-108.
http://dx.doi.org/10.1016/0024-3795(93)90494-9
[10] Abu-Saris, R. and Hajja, M. (2006) On Gauss Compounding of Symme-tric Weighted Arithmetic Means. Journal of Mathematical Analysis and Applications, 322, 729-734.
http://dx.doi.org/10.1016/j.jmaa.2005.09.069
[11] Gao, P. (2008) On a Conjecture on the Symmetric Means. Journal of Ma-thematical Analysis and Applications, 337, 416-424.
http://dx.doi.org/10.1016/j.jmaa.2007.04.011
[12] Qin, J.D. and Liu, X.W. (2014) An Approach to Intuitionistic Fuzzy Multiple Attribute Decision Making Based on Maclaurin Symmetric Mean Operators. Journal of Intelligent and Fuzzy Systems, 27, 2177-2190.
[13] Qin, J.D. and Liu, X.W. (2015) Approaches to Uncertain Linguistic Multiple Attribute Decision Making Based on Dual Maclaurin Symmetric Mean. Journal of Intelligent and Fuzzy Systems, 29, 171-186.
http://dx.doi.org/10.3233/IFS-151584
[14] Zhou, L.Y., Zhao, X.F. and Wei, G.W. (2014) Hesitant Fuzzy Hamacher Aggregation Operators and Their Application to Multiple Attribute Decision Making. Journal of Intelligent and Fuzzy Systems, 26, 2689-2699.

为你推荐