New Aggregation Operator for Triangular Fuzzy Numbers based on the Arithmetic Means of the Slopes of the L- and R- Membership Functions
نویسندگان
چکیده
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 arithmetic means of the corresponding Land Rslopes of the individual TFNs The Land Rmembership function lines are treated independently. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates as well as results from the recent work of the authors on TFN aggregates have also been computed. Keywords— LR Fuzzy Number, Triangular Fuzzy Number, Apex Angle, Slope, Land RMembership Functions, Aggregation Operator, Arithmetic and Geometric Mean
منابع مشابه
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...
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