Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties

Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null...

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Detalles Bibliográficos
Autores principales: Ma, Shengquan, Li, Shenggang
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4096379/
https://www.ncbi.nlm.nih.gov/pubmed/25093202
http://dx.doi.org/10.1155/2014/493703
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author Ma, Shengquan
Li, Shenggang
author_facet Ma, Shengquan
Li, Shenggang
author_sort Ma, Shengquan
collection PubMed
description Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous from above, autocontionuous from below, and autocontinuity of the defined fuzzy complex number-valued measures. Properties of fuzzy complex number-valued measures are studied in detail.
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spelling pubmed-40963792014-08-04 Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties Ma, Shengquan Li, Shenggang ScientificWorldJournal Research Article Let F*(K) be the set of all fuzzy complex numbers. In this paper some classical and measure-theoretical notions are extended to the case of complex fuzzy sets. They are fuzzy complex number-valued distance on F*(K), fuzzy complex number-valued measure on F*(K), and some related notions, such as null-additivity, pseudo-null-additivity, null-subtraction, pseudo-null-subtraction, autocontionuous from above, autocontionuous from below, and autocontinuity of the defined fuzzy complex number-valued measures. Properties of fuzzy complex number-valued measures are studied in detail. Hindawi Publishing Corporation 2014 2014-06-24 /pmc/articles/PMC4096379/ /pubmed/25093202 http://dx.doi.org/10.1155/2014/493703 Text en Copyright © 2014 S. Ma and S. Li. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Ma, Shengquan
Li, Shenggang
Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title_full Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title_fullStr Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title_full_unstemmed Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title_short Complex Fuzzy Set-Valued Complex Fuzzy Measures and Their Properties
title_sort complex fuzzy set-valued complex fuzzy measures and their properties
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4096379/
https://www.ncbi.nlm.nih.gov/pubmed/25093202
http://dx.doi.org/10.1155/2014/493703
work_keys_str_mv AT mashengquan complexfuzzysetvaluedcomplexfuzzymeasuresandtheirproperties
AT lishenggang complexfuzzysetvaluedcomplexfuzzymeasuresandtheirproperties

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