Open AccessNew Aggregation Operator for Triangular Fuzzy Numbers based on the Geometric Means of the Slopes of the L- and R- Membership Functions
Author(s) -
Mukesh Pandey,
Nilay Khare
Publication year - 2012
Publication title -
international journal of computer and technology
Language(s) - English
Resource type - Journals
ISSN - 2277-3061
DOI - 10.24297/ijct.v2i2b.2634
Subject(s) - aggregate (composite) , operator (biology) , computation , mathematics , work (physics) , fuzzy logic , function (biology) , arithmetic , algorithm , computer science , artificial intelligence , engineering , chemistry , mechanical engineering , biochemistry , materials science , repressor , composite material , gene , evolutionary biology , biology , transcription factor
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 L- and R- membership lines. In this paper the work is extended and a new aggregation operator for TFNs is proposed in which the L- and R- membership function lines of the aggregate TFN have slopes which are the geometric means of the corresponding L- and R- slopes of the individual TFNs. 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.