Weighted additive information measures.
Some Functional Inequalities.
Eine Funktionalgleichung für operatorwertige Funktionen.
Verallgemeinerungen eines Satzes von S. Piccard.
Verallgemeinerungen eines Satzes von H. Steinhaus.
Boundedness properties for functional inequalities.
Wighted-Additive Deviations with the Sum Property.
On a Functional Equation Arising in Information Theory.
Ein Beitrag zur Baire-Kategorie-Theorie.
Verallgemeinerte Cauchy-Funktionalgleichungen. (Short Communication).
Verallgemeinerte Cauchy-Funktionalgleichungen.
The fundamental equation of information and its generalizations.
On a sum form functional equation.
About solutions of a functional equation.
Applications of certain R-families
Multiplication, distributivity and fuzzy-integral. II
Based on results of generalized additions and generalized multiplications, proven in Part I, we first show a structure theorem on two generalized additions which do not coincide. Then we prove structure and representation theorems for generalized multiplications which are connected by a strong and weak distributivity law, respectively. Finally – as a last preparation for the introduction of a framework for a fuzzy integral – we introduce generalized differences with respect to t-conorms (which are...
Multiplication, distributivity and fuzzy-integral. III
Based on the results of generalized additions, multiplications and differences proven in Part I and II of this paper a framework for a general integral is presented. Moreover it is shown that many results of the literature are contained as special cases in our results.
Multiplication, distributivity and fuzzy-integral. I
The main purpose is the introduction of an integral which covers most of the recent integrals which use fuzzy measures instead of measures. Before we give our framework for a fuzzy integral we motivate and present in a first part structure- and representation theorems for generalized additions and generalized multiplications which are connected by a strong and a weak distributivity law, respectively.
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