Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4945355 | International Journal of Approximate Reasoning | 2017 | 11 Pages |
Abstract
Integral equivalence of couples (μ,x) and (μ,y), where μ is a possibility (necessity) measure on [n]={1,â¦,n} and x,yâ[0,1]n is discussed and studied. We characterize the sets H(μ,x) of all y such that the couples (μ,x) and (μ,y) are integral equivalent and we add an illustrative example. Subsequently, a new characterization of possibility (necessity) measures is obtained and the coincidence of universal integrals for possibility (necessity) measures and particular vectors from [0,1]n is shown, thus generalizing these results introduced by Dubois and Rico for the Choquet and the Sugeno integrals.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Tao Chen, Radko Mesiar, Jun Li, Andrea StupÅanová,