期刊文献+

半t算子关于半零模的分配方程

DISTRIBUTIVITY EQUATION FORSEMI-NULLNORMS AND SEMI-T-OPERATORS
下载PDF
导出
摘要 近年来,各种算子的分配方程都得到了大量研究,如三角模、三角余模、统-模、零模等,本文主要研究了半t算子关于半零模的分配方程,此外,我们提出了一些重要结论并给出两个例题. Recently,the distributivity equation for di erent kind of operators(such as triangular norms,triangular conorms,uninorms and nullnorms)has been reached in numerous studies.The main purpose of this paper is to study the distributivity equations between semi-nullnorms and semi-t-operators.Moreover,we propose some important results and two examples.
作者 张琬迪 卢威 宋晓秋 Zhang Wandi;Lu Wei;Song Xiaoqiu(Xuzhou Wangjie Middle School,Xuzhou 221004;School of Mathematics,China University of Mining and Technology,Xuzhou 221116)
出处 《南京大学学报(数学半年刊)》 2021年第2期144-161,共18页 Journal of Nanjing University(Mathematical Biquarterly)
关键词 聚合算子 分配方程 幂等算子 半t算子 半零模 Aggregation operator distributivity equations idempotent operation Semi-t-operator Semi-nullnorm
  • 相关文献

参考文献4

二级参考文献32

  • 1Wu L, Sun J, Ye X and Zhu L. HSlder Type Inequality for Sugeno Integrals. Fuzzy Sets Syst., 2010, 161(1): 2337-2347.
  • 2Sugeno M. Theory of Fuzzy Integrals and its Applications. Tokyo Inst. of Tech, Ph.D. Thesis, 1974.
  • 3Ozdemir M E, Avci M and Kavurmaci H. Hermite-Hadamard-type Inequalities via (a, m)-convexity Comput.Math. Appl., 2011, 61: 2614-2620.
  • 4Mesiar R and Ouyang Y. General Chebyshev Type Inequalities for Sugeno Integrals. Fuzzy Sets Syst., 2009, 160: 58-64.
  • 55zkan U M, Sarikaya M Z and Yildirim H. Extensions of certain Integral Inequalities on Time Scales. Appl. Math. let., 2008, 21: 993-1000.
  • 6Mihesan V G. A Generalization of the Convexity. Seminar on Functional Equations Approximation and Convexity. Romania, 1993.
  • 7Song X Q and Pan Z. zzy Algebra in Triangular Norm System. Fuzzy Sets Syst., 1998, 93: 331-335.
  • 8Song Y Z, Song X Q, Li D Q and Yue T. BerwMd Type Inequality for Universal Integral based on (a,m)-concave Functions. J. Math. Inequal., 2015, 1: 1-15.
  • 9Wang Z and Klir G. Generalized Measure Theory. Springer Verlag, New York, 2008.
  • 10Wang Z and Klir G. Fuzzy Measure Theory. Plenum Press. New York, 1992.

共引文献3

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部