Statistical Parameters Based on Fuzzy Measures

In this paper, we study the problem of defining statistical parameters when the uncertainty is expressed using a fuzzy measure. We extend the concept of monotone expectation in order to define a monotone variance and monotone moments. We also study parameters that allow the joint analysis of two fun...

وصف كامل

التفاصيل البيبلوغرافية
المؤلفون الرئيسيون: Reche Lorite, Fernando, Morales Giraldo, María Encarnación, Salmerón Cerdán, Antonio
التنسيق: info:eu-repo/semantics/article
اللغة:English
منشور في: MDPI 2020
الموضوعات:
الوصول للمادة أونلاين:http://hdl.handle.net/10835/8923
الوصف
الملخص:In this paper, we study the problem of defining statistical parameters when the uncertainty is expressed using a fuzzy measure. We extend the concept of monotone expectation in order to define a monotone variance and monotone moments. We also study parameters that allow the joint analysis of two functions defined over the same reference set. Finally, we propose some parameters over product spaces, considering the case in which a function over the product space is available and also the case in which such function is obtained by combining those in the marginal spaces.