Basic uncertain information (BUI) in the form (x; c), where x E [0,1] is an observed datum and c E [0,1] is its reliability, is discussed and studied. The concept of BUI's aggregation is introduced and some construction methods are proposed and exemplified. The connection with interval-valued data and their aggregation is also discussed.
6 February 2018 in International Journal of Intelligent Systems
Choquet Integral is a powerful aggregation function especially in merging finite real inputs. However in real life, many inputs exist in continuum, e.g., the Riemann Integrable functions. The standard Choquet Integral formulas can not accommodate such inputs. This study proposes a new expression which enables merging Riemann Integrable inputs using a discrete Choquet integral. Relevant properties arising therein are discussed. A few application domains are identified which include time dependent multicriteria decision aid and dynamic fuzzy cooperative games etc.
Karaçal and Mesiar showed that it is possible to construct uninorms on an arbitrary bounded lattice. Particularly, they constructed the weakest and the strongest uninorm. In this paper another method for a construction of uninorms on bounded lattices is proposed. The cases of general bounded lattices as well as bounded lattices equipped with a special arithmetic operation, are discussed.