A study on the Choquet integral with respect to a capacity and its applications
نویسندگان
چکیده
In this paper, we consider the Choquet integrals with respect to a capacity and the Choquet integral expected utility (CEU) represented by the preference functionals. In particular, by using the CEU preference functionals, we investigate the evaluation of Korea’s animal exports with the trading partners examined. AMS subject classification: 28E10, 28E20, 03E72, 26E50 11B68.
منابع مشابه
Projects performance evaluation model based on Choquet Integral
In most of the multi–criteria decision–analysis (MCDA) problems in which the Choquet integral is used as aggregation function, the coefficients of Choquet integral (capacity) are not known in advance. Actually, they could be calculated by capacity definition methods. In these methods, the preference information of decision maker (DM) is used to constitute a possible solution space. ...
متن کاملThe construction projects HSE performance evaluation considering the effect of external factors using Choquet integral, case study (an Iranian power plant construction company)
Nowadays, industrialization exposes the human and environment resources to serious dangers. The importance of these resources caused the HSE (health, safety and environment) to have a significant contribution in industries’ evaluation, especially in construction industry. While evaluating the project’s success from an HSE point of view, it is not enough to rely solely on the outputs without con...
متن کاملNote on the Choquet Integral as an Interval-Valued Aggregation Operators and Their Applications
The concept of an interval-valued capacity is motivated by the goal to generalize a capacity, and it can be used for representing an uncertain capacity. In this paper, we define the discrete intervalvalued capacities, a measure of the entropy of a discrete interval-valued capacity, and, Choquet integral with respect to a discrete interval-valued capacity. In particular, we discuss the Choquet i...
متن کاملThe Induced Capacity and Choquet Integral Monotone Convergence
Given a probability measure over a state space, a partial collection (sub-σalgebra) of events whose probabilities are known, induces a capacity over the collection of all possible events. The induced capacity of an event F is the probability of the maximal (with respect to inclusion) event contained in F whose probability is known. The Choquet integral with respect to the induced capacity coinc...
متن کاملA comparison of the GAI model and the Choquet integral with respect to a k-ary capacity
Two utility models are classically used to represent interaction among criteria: the Choquet integral and the Generalized Additive Independence (GAI) model. We propose a comparison of these models. Looking at their mathematical expression, it seems that the second one is much more general than the first one. The GAI model has been mostly studied in the case where attributes are discrete. We pro...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2016