New Aggregation Operator for Triangular Fuzzy Numbers based on the Geometric Means of L- and R- Apex Angles
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Abstract
In [1], authors have proposed a new aggregation operator for 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 of the corresponding L- and R- apex angles of the individual TFNs. Taking the basic idea of an aggregation operator for triangular fuzzy numbers based on the means of the corresponding L- and R- apex angles further, a new aggregation operator for triangular fuzzy numbers (TFNs) based on the geometric means of the corresponding L- and R- apex angles of the individual TFNs has been proposed in this paper. The L- and R- apex angles have been treated independently as has been done in the previous paper. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates have also been computed.
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Keywords: LR Fuzzy Number, Triangular Fuzzy Number, Apex Angle, L-Apex Angle, R-Apex Angle, Aggregation Operator, Arithmetic and Geometric Mean
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