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Paper detail

Averaging functions on triangular fuzzy numbers

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.

preprint2023arXivOpen access
Roberto DíazAldryn AparcanaDiego SotoNicolás ZumelzuJosé CanumánÁlvaro MellaEdmundo MansillaBenjamín Bedregal
math.GM
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Roberto DíazAldryn AparcanaDiego SotoNicolás ZumelzuJosé CanumánÁlvaro MellaEdmundo MansillaBenjamín Bedregal

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