Construction of Choquet integrals through unimodal weighting vectors

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Discrete Interval–valued Choquet Integrals

For a fixed finite universe U = {u1, . . . , un}, a fuzzy subset F of U is given by its membership function F : U → [0, 1] (we will not distinguish fuzzy subsets and the corresponding membership functions notations). For several practical purposes, especially in multicriteria decision making, the expected value E(F ) of F should be introduced. The original Zadeh approach in [11] was based on a ...

متن کامل

Choquet Integrals in Potential Theory

This is a survey of various applications of the notion of the Choquet integral to questions in Potential Theory, i.e. the integral of a function with respect to a non-additive set function on subsets of Euclidean n-space, capacity. The Choquet integral is, in a sense, a nonlinear extension of the standard Lebesgue integral with respect to the linear set function, measure. Applications include a...

متن کامل

Axiomatizations of Signed Discrete Choquet integrals

We study the so-called signed discrete Choquet integral (also called non-monotonic discrete Choquet integral) regarded as the Lovász extension of a pseudo-Boolean function which vanishes at the origin. We present axiomatizations of this generalized Choquet integral, given in terms of certain functional equations, as well as by necessary and sufficient conditions which reveal desirable propertie...

متن کامل

Parametric Continuity of Choquet and Sugeno Integrals

We consider a fixed probability μ. For any λ ∈ (−1,∞), we denote by m(λ, μ) the λ-Sugeno measure generated by μ. For a fixed measurable set A, the continuity of the map λ 7−→ ∫ A fdm(λ, μ) is proved, where the integral is either Choquet or Sugeno. The asymptotic (marginal) cases λ = −1 and λ =∞ are studied too. Finally, some concrete computations illustrate the previous theory.

متن کامل

Nonlinear nonnegative multiregressions based on Choquet integrals

Using a nonadditive set function to describe the interaction among attributes, a new nonlinear nonnegative multiregression is established based on Choquet integrals with respect to the set function. Regarding the values of the set function as unknown regression parameters, an evolutionary computation can be used to determine them when necessary data are available. Such a model is a generalizati...

متن کامل

ذخیره 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: International Journal of Intelligent Systems

سال: 2018

ISSN: 0884-8173

DOI: 10.1002/int.21962