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  • 标题:New Aggregation Operator for Trapezoidal Fuzzy Numbers based on the Arithmetic Means of the Left and Right Apex Angles
  • 本地全文:下载
  • 作者:Manju Pandey ; Nilay Khare ; S.C. Shrivastava
  • 期刊名称:International Journal of Advanced Research In Computer Science and Software Engineering
  • 印刷版ISSN:2277-6451
  • 电子版ISSN:2277-128X
  • 出版年度:2012
  • 卷号:2
  • 期号:3
  • 出版社:S.S. Mishra
  • 摘要:In previous work, authors have proposed two new aggregation operators for a class of LR fuzzy numbers known as triangular fuzzy numbers (TFNs) in which the L- and R- apex angles of the piecewise continuous linear membership function of the composite or resultant or aggregate TFN are the arithmetic means [1] and the geometric means [2] of the L- and R- apex angles of the individual TFNs. In this paper the concept of an aggregation operator for triangular fuzzy numbers based on the arithmetic means of the corresponding L- and R- apex angles is extended for a class of Interval Fuzzy Numbers known as Trapezoidal Fuzzy Numbers (TrFNs). The left and right side angles have been treated independently as was done for the L- and R- apex angles in the case of LR TFNs. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates have also been computed
  • 关键词:LR Fuzzy Number; Interval Fuzzy Number; Triangular Fuzzy Number; Trapezoidal Fuzzy ;Number; Apex Angle; Left Apex Angle; Right Apex Angle; Aggregation Operator; Arithmetic and Geometric
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