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

Manju Pandey | Zendy; Nilay Khare | Zendy

Open Access

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

Author(s) -

Manju Pandey,

Nilay Khare

Publication year - 2012

Publication title -

international journal of computers 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.

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