Barycentrically Associative and Preassociative Functions
نویسنده
چکیده
We investigate the barycentric associativity property for functions with indefinite arities and discuss the more general property of barycentric preassociativity, a generalization of barycentric associativity which does not involve any composition of functions. We also provide a generalization of Kolmogoroff-Nagumo’s characterization of the quasi-arithmetic mean functions to barycentrically preassociative functions.
منابع مشابه
A Characterization of Barycentrically Preassociative Functions
We provide a characterization of the variadic functions which are barycentrically preassociative as compositions of length-preserving associative string functions with one-to-one unary maps. We also discuss some consequences of this characterization.
متن کاملA Classification of Barycentrically Associative Polynomial Functions
We describe the class of polynomial functions which are barycentrically associative over an infinite commutative integral domain.
متن کاملAssociative and Preassociative Functions
We investigate the associativity property for functions of multiple arities and introduce and discuss the more general property of preassociativity, a generalization of associativity which does not involve any composition of functions.
متن کاملAssociative string functions
We introduce the concept of associativity for string functions, where a string function is a unary operation on the set of strings over a given alphabet. We discuss this new property and describe certain classes of asso-ciative string functions. We also characterize the recently introduced preasso-ciative functions as compositions of associative string functions with injective unary maps. Final...
متن کاملPreassociative Aggregation Functions
We investigate the associativity property for varying-arity aggregation functions and introduce the more general property of preassociativity, a natural extension of associativity. We discuss this new property and describe certain classes of preassociative functions.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2015