On fuzzy successors

Patrik Eklund, M. Ángeles Galán, Jari Kortelainen.

Conventional addition builds upon the ordinary successor operator. It can therefore be expected that a formal algebraic approach to fuzzy arithmetic should likewise be based on a notion of fuzzy successors, and indeed allowing for a family of fuzzy successors. In this paper we aim at formalizing the first steps towards an understanding of an algebraically formal description of fuzzy addition.

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