A New Stochastic Dominance Degree Based on Almost Stochastic Dominance and Its Application in Decision Making
نویسندگان
چکیده
Traditional stochastic dominance rules are so strict and qualitative conditions that generally a stochastic dominance relation between two alternatives does not exist. To solve the problem, we firstly supplement the definitions of almost stochastic dominance (ASD). Then, we propose a new definition of stochastic dominance degree (SDD) that is based on the idea of ASD. The new definition takes both the objective mean and stakeholders’ subjective preference into account, and can measure both standard and almost stochastic dominance degree. The new definition contains four kinds of SDD corresponding to different stakeholders (rational investors, risk averters, risk seekers, and prospect investors). The operator in the definition can also be changed to fit in with different circumstances. On the basis of the new SDD definition, we present a method to solve stochastic multiple criteria decision-making problem. The numerical experiment shows that the new method could produce a more accurate result according to the utility situations of stakeholders. Moreover, even when it is difficult to elicit the group utility distribution of stakeholders, or when the group utility distribution is ambiguous, the method can still rank alternatives.
منابع مشابه
Decision criteria in risk analysis : an application of stochastic dominance with respect to a function
متن کامل
Electricity Procurement for Large Consumers with Second Order Stochastic Dominance Constraints
This paper presents a decision making approach for mid-term scheduling of large industrial consumers based on the recently introduced class of Stochastic Dominance (SD)- constrained stochastic programming. In this study, the electricity price in the pool as well as the rate of availability (unavailability) of the generating unit (forced outage rate) is considered as uncertain parameters. Th...
متن کاملمحاسبه ریسک با معیار تسلط تصادفی و مقایسه آن با سایر معیارهای متداول در بورس اوراق بهادار تهران
Nowadays stock market as a means to facilitate and direct micro investment for economic development is deemed as one of the most effective tools in the market economy system. Analyzing the risk and output of various companies' shares is among the most important preconditions of stock investment. In general, although conventional risk measures such as Beta and standard deviation are relatively e...
متن کاملGeneralized Almost Stochastic Dominance
Almost stochastic dominance allows small violations of stochastic dominance rules to avoid situations where most decision makers prefer one alternative to another but stochastic dominance cannot rank them. However, the commonly used integral condition for almost seconddegree stochastic dominance does not map into the corresponding classes of increasing concave utility functions with bounded der...
متن کاملConcepts and Applications of Stochastically Weighted Stochastic Dominance
Stochastic dominance theory provides tools to compare random entities. When comparing random vectors (say X and Y ), the problem can be viewed as one of multi-criterion decision making under uncertainty. One approach is to compare weighted sums of the components of these random vectors using univariate dominance. In this paper we propose new concepts of stochastically weighted dominance. The ma...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Entropy
دوره 19 شماره
صفحات -
تاریخ انتشار 2017