Additive Aggregation Functions: Generalizations and Modifications of Additivity
Additive Aggregation Functions: Generalizations and Modifications of Additivity is a scholarly work, published in 2019 in ''International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems''. The main subjects of the publication include glossary of graph theory terms, mathematics, multi-objective optimization, additive function, Fuzzy differential equation, unit interval, multiple-criteria decision analysis, and additive model. The authors prove that some common properties of aggregation functions can be viewed as modifications of additivity — additivity with constraints.We also generalize additivity into pseudo-additivity and k-pseudo-additivity, and provide characterization of pseudo-additive and k-pseudo-additive aggregation functions, including maxitive and k-maxitive aggregation functions. .