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arXiv · 2301.02290

Averaging functions on triangular fuzzy numbers

Roberto Díaz·Aldryn Aparcana·Diego Soto·Nicolás Zumelzu·José Canumán·Álvaro Mella·Edmundo Mansilla·Benjamín Bedregal
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Abstract

Admissible orders on fuzzy numbers are total orders which refine a basic and well-known partial order on fuzzy numbers. In this work, we define an admissible order on triangular fuzzy numbers (i.e. TFN's) and study some fundamental properties with its arithmetic and their relation with this admissible order. In addition, we also introduce the concepts of average function on TFN$'s and studies a generalized structure of the vector spaces. In particular we consider the case of TFN's.

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Roberto Díaz, Aldryn Aparcana, Diego Soto, Nicolás Zumelzu, José Canumán, Álvaro Mella, Edmundo Mansilla, Benjamín Bedregal. 2023-01-05. Averaging functions on triangular fuzzy numbers. https://arxiv.org/abs/2301.02290

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