Integral geometric properties of capacities
نویسندگان
چکیده
منابع مشابه
A new integral for capacities
Anew integral for capacities is introduced and characterized. It differs from the Choquet integral on non-convex capacities. The main feature of the new integral is concavity, whichmight be interpreted as uncertainty aversion. The integral is extended to fuzzy capacities, which assign subjective expected values to random variables (e.g., portfolios) and may assign subjective probability only to...
متن کاملSOME PROPERTIES OF UNCERTAIN INTEGRAL
Uncertainty theory is a mathematical methodology for dealing withnon-determinate phenomena in nature. As we all know, uncertainprocess and uncertain integral are important contents of uncertaintytheory, so it is necessary to have deep research. This paperpresents the definition and discusses some properties of strongcomonotonic uncertain process. Besides, some useful formulas ofuncertain integr...
متن کاملBi-capacities -- Part II: the Choquet integral
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models as Cumulative Prospect Theory (CPT). The aim of this paper in two parts is to present the machinery behind bicapacities, and thus remains on a rather theoretical ...
متن کاملCapacities-Centered Integral Software Process Formalization
In this paper, we formalize an integral sofnvare process model which is applied to the construction of conventional systems (CS) and knowledge-based systems (KBS), centered in the capacities. The Capacities Centered Integral Software Process Model (CCISPM) is formalized through an object oriented approach. Aiming to automate the CCISPM, the formalization of the process dynamic aspects is begun....
متن کاملSome properties of a general integral operator
In this paper, we consider a general integral operator $G_n(z).$ The main object of the present paper is to study some properties of this integral operator on the classes $mathcal{S}^{*}(alpha),$ $mathcal{K}(alpha),$ $mathcal{M}(beta),$ $mathcal{N}(beta)$ and $mathcal{KD}(mu,beta).$
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: Transactions of the American Mathematical Society
سال: 1981
ISSN: 0002-9947
DOI: 10.1090/s0002-9947-1981-0617550-8