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

Authors

  • Manju Pandey Computer Science & Engg MANIT, Bhopal
  • Dr. Nilay Khare Computer Science & Engg MANIT, Bhopal

DOI:

https://doi.org/10.24297/ijct.v2i2b.2634

Keywords:

Fuzzy Aggregation, Aggregation Operators, Fuzzy Logic, Fuzzy Sets, Fuzzy Numbers, Fuzzy Arithmetic, Fuzzy Mathematics

Abstract

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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Author Biographies

Manju Pandey, Computer Science & Engg MANIT, Bhopal

Research Scholar

Dr. Nilay Khare, Computer Science & Engg MANIT, Bhopal

Professor  & Head

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Published

2012-04-30

How to Cite

Pandey, M., & Khare, D. N. (2012). New Aggregation Operator for Triangular Fuzzy Numbers based on the Geometric Means of the Slopes of the L- and R- Membership Functions. INTERNATIONAL JOURNAL OF COMPUTERS &Amp; TECHNOLOGY, 2(2), 74–76. https://doi.org/10.24297/ijct.v2i2b.2634

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Section

Research Articles