New Aggregation Operator for Triangular Fuzzy Numbers based on the Arithmetic Means of the L- and R- Apex Angles

نویسندگان

  • Manju Pandey
  • Nilay Khare
چکیده

In this paper a new aggregation operator for a class of LR Fuzzy Numbers i.e., Triangular Fuzzy Numbers (TFNs) in which the Land Rapex angles of the piecewise continuous linear membership function of the composite or resultant or aggregate TFN are the arithmetic means of the corresponding Land Rapex angles of the individual TFNs is proposed. The Land Rapex angles have been treated independently. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates have also been computed. Keywords— LR Fuzzy Number, Triangular Fuzzy Number, Apex Angle, L-Apex Angle, R-Apex Angle, Aggregation Operator, Arithmetic and Geometric Mean

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

New Aggregation Operator for Trapezoidal Fuzzy Numbers based on the Geometric Means of the Left and Right Apex Angles

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 Land Rapex 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 Land Rapex angles of the individual TFNs. In another pape...

متن کامل

New Aggregation Operator for Triangular Fuzzy Numbers based on the Arithmetic Means of the Slopes of the L- and R- Membership Functions

In recent work authors have proposed four new aggregation operators based on the arithmetic and geometric means of the Land Ror right side and left side apex angles for triangular [1] [2] and trapezoidal [3] [4] fuzzy numbers respectively. In this paper authors propose a new aggregation operator for TFNs in which the Land Rmembership function lines of the aggregate TFN have slopes which are the...

متن کامل

New Aggregation Operator for Triangular Fuzzy Numbers based on the Geometric Means of the Slopes of the L- and R- Membership Functions

In recent work authors have proposed four new aggregation operators for triangular and trapezoidal fuzzy numbers based on means of apex angles [1][2][3][4]. Subsequently authors have proposed [5] a new aggregation operator for TFNs based on the arithmetic mean of slopes of the Land Rmembership lines. In this paper the work is extended and a new aggregation operator for TFNs is proposed in which...

متن کامل

Interval-valued intuitionistic fuzzy aggregation methodology for decision making with a prioritization of criteria

Interval-valued intuitionistic fuzzy sets (IVIFSs), a generalization of fuzzy sets, is characterized by an interval-valued membership function, an interval-valued non-membership function.The objective of this paper is to deal with criteria aggregation problems using IVIFSs where there exists a prioritization relationship over the criteria.Based on the ${L}$ukasiewicz triangular norm, we first p...

متن کامل

A New Similarity Measure of Generalized Fuzzy numbers Based on Left and Right Apex Angles (II)

The similarity measure of fuzzy numbers is very important in many research fields such as pattern recognition [[5],[6]] and risk analysis in fuzzy environment [[1],[3],[15]]. Some methods have been presented to calculate the degree of similarity between fuzzy numbers [[1][4],[8],[15]]. In [16], Wen presented A modified similarity measure of generalized fuzzy numbers. Pandey et al.,[7] proposed ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2012