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...
| Main Authors: | , , |
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| Format: | info:eu-repo/semantics/article |
| Language: | English |
| Published: |
MDPI
2020
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10835/8923 |
| _version_ | 1789406565797724160 |
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| author | Reche Lorite, Fernando Morales Giraldo, María Encarnación Salmerón Cerdán, Antonio |
| author_facet | Reche Lorite, Fernando Morales Giraldo, María Encarnación Salmerón Cerdán, Antonio |
| author_sort | Reche Lorite, Fernando |
| collection | DSpace |
| description | 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. |
| format | info:eu-repo/semantics/article |
| id | oai:repositorio.ual.es:10835-8923 |
| institution | Universidad de Cuenca |
| language | English |
| publishDate | 2020 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oai:repositorio.ual.es:10835-89232023-12-15T13:51:48Z Statistical Parameters Based on Fuzzy Measures Reche Lorite, Fernando Morales Giraldo, María Encarnación Salmerón Cerdán, Antonio monotone statistical parameters fuzzy measures monotone measures product spaces fuzzy statistics 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. 2020-11-23T12:08:10Z 2020-11-23T12:08:10Z 2020-11-12 info:eu-repo/semantics/article 2227-7390 http://hdl.handle.net/10835/8923 en https://www.mdpi.com/2227-7390/8/11/2015 Attribution-NonCommercial-NoDerivatives 4.0 Internacional http://creativecommons.org/licenses/by-nc-nd/4.0/ info:eu-repo/semantics/openAccess MDPI |
| spellingShingle | monotone statistical parameters fuzzy measures monotone measures product spaces fuzzy statistics Reche Lorite, Fernando Morales Giraldo, María Encarnación Salmerón Cerdán, Antonio Statistical Parameters Based on Fuzzy Measures |
| title | Statistical Parameters Based on Fuzzy Measures |
| title_full | Statistical Parameters Based on Fuzzy Measures |
| title_fullStr | Statistical Parameters Based on Fuzzy Measures |
| title_full_unstemmed | Statistical Parameters Based on Fuzzy Measures |
| title_short | Statistical Parameters Based on Fuzzy Measures |
| title_sort | statistical parameters based on fuzzy measures |
| topic | monotone statistical parameters fuzzy measures monotone measures product spaces fuzzy statistics |
| url | http://hdl.handle.net/10835/8923 |
| work_keys_str_mv | AT recheloritefernando statisticalparametersbasedonfuzzymeasures AT moralesgiraldomariaencarnacion statisticalparametersbasedonfuzzymeasures AT salmeroncerdanantonio statisticalparametersbasedonfuzzymeasures |