Superadditive and subadditive transformations of integrals and aggregation functions
نویسندگان
چکیده
منابع مشابه
Superadditive and subadditive transformations of integrals and aggregation functions
We propose the concepts of superadditive and of subadditive transformations of aggregation functions acting on non-negative reals, in particular of integrals with respect to monotone measures. We discuss special properties of the proposed transforms and links between some distinguished integrals. Superadditive transformation of the Choquet integral, as well as of the Shilkret integral, is shown...
متن کاملSUPER- AND SUB-ADDITIVE ENVELOPES OF AGGREGATION FUNCTIONS: INTERPLAY BETWEEN LOCAL AND GLOBAL PROPERTIES, AND APPROXIMATION
Super- and sub-additive transformations of aggregation functions have been recently introduced by Greco, Mesiar, Rindone and v{S}ipeky [The superadditive and the subadditive transformations of integrals and aggregation functions, {it Fuzzy Sets and Systems} {bf 291} (2016), 40--53]. In this article we give a survey of the recent development regarding the existence of aggregation functions with ...
متن کاملSuper- and sub-additive transformations of aggregation functions from the point of view of approximation
The way super- and sub-additive transformations of aggregation functions are introduced involve suprema and infima taken over simplexes whose dimensions may grow arbitrarily. Exact values of such transformations may thus be hard to determine in general. In this note we discuss methods of algorithmic approximation of such transformations.
متن کاملOn Finding Additive, Superadditive and Subadditive Set-functions Subject to Linear Inequalities
Complexity results are obtained with regard to problems of finding solutions to set of linear inequalities which are compatible with some set-functions and a prescribed intersection graph. It is shown that the additive case is SP-complete, the superadditive case is coSP-complete, and the subadditive case is in P. 0 1 1 Finding Addit,ive, Superaddit.ive and Subadditive Set-Functions Subject to L...
متن کاملH K Aggregation Functions, Measures and Integrals
In many decision making problems evaluations of possible alternatives of choice, with respect to several points of view (criteria) are expressed by means of h−interval (or fuzzy numbers). For example a pessimistic and an optimistic evaluation generate an interval containing the exact evaluation. These situations reflect lack of information or uncertainty on the same evaluations. In this paper w...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Fuzzy Sets and Systems
سال: 2016
ISSN: 0165-0114
DOI: 10.1016/j.fss.2015.08.006