Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion

Abstract Basic uncertain information is a newly proposed normative formulation to express and model uncertain information. This study further generalizes this concept by introducing the concept of refined interval of discourse in which the true value is known to be included. Hence, we define some ne...

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Main Authors: Le-Sheng Jin, Ya-Qiang Xu, Zhen-Song Chen, Radko Mesiar, Ronald R. Yager
Format: Article
Language:English
Published: Springer 2022-02-01
Series:International Journal of Computational Intelligence Systems
Subjects:
Online Access:https://doi.org/10.1007/s44196-022-00066-9
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author Le-Sheng Jin
Ya-Qiang Xu
Zhen-Song Chen
Radko Mesiar
Ronald R. Yager
author_facet Le-Sheng Jin
Ya-Qiang Xu
Zhen-Song Chen
Radko Mesiar
Ronald R. Yager
author_sort Le-Sheng Jin
collection DOAJ
description Abstract Basic uncertain information is a newly proposed normative formulation to express and model uncertain information. This study further generalizes this concept by introducing the concept of refined interval of discourse in which the true value is known to be included. Hence, we define some new definitions of relative basic uncertain information, relative certainty/uncertainty degree and comprehensive certainty/uncertainty with some related measurements and analysis. With the introduced uncertain data type, we define two corresponding aggregation operators, namely, the relative basic uncertain information valued weighted arithmetic mean operator and the interval-induced relative basic uncertain information valued ordered weight averaging operator. An application of the proposed concepts and methods in multi-agents evaluation is provided.
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spelling doaj.art-fa4df7155abf4952a322a0c2dd0853a02022-12-22T02:25:39ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832022-02-011511710.1007/s44196-022-00066-9Relative Basic Uncertain Information in Preference and Uncertain Involved Information FusionLe-Sheng Jin0Ya-Qiang Xu1Zhen-Song Chen2Radko Mesiar3Ronald R. Yager4School of Business, Nanjing Normal UniversitySchool of Civil Engineering, Wuhan UniversitySchool of Civil Engineering, Wuhan UniversityFaculty of Civil Engineering, Slovak University of TechnologyFaculty of Science, King Abdulaziz UniversityAbstract Basic uncertain information is a newly proposed normative formulation to express and model uncertain information. This study further generalizes this concept by introducing the concept of refined interval of discourse in which the true value is known to be included. Hence, we define some new definitions of relative basic uncertain information, relative certainty/uncertainty degree and comprehensive certainty/uncertainty with some related measurements and analysis. With the introduced uncertain data type, we define two corresponding aggregation operators, namely, the relative basic uncertain information valued weighted arithmetic mean operator and the interval-induced relative basic uncertain information valued ordered weight averaging operator. An application of the proposed concepts and methods in multi-agents evaluation is provided.https://doi.org/10.1007/s44196-022-00066-9Aggregation operatorBasic uncertain informationInformation fusionMulti-criteria evaluationPreference involved evaluation
spellingShingle Le-Sheng Jin
Ya-Qiang Xu
Zhen-Song Chen
Radko Mesiar
Ronald R. Yager
Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
International Journal of Computational Intelligence Systems
Aggregation operator
Basic uncertain information
Information fusion
Multi-criteria evaluation
Preference involved evaluation
title Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
title_full Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
title_fullStr Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
title_full_unstemmed Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
title_short Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion
title_sort relative basic uncertain information in preference and uncertain involved information fusion
topic Aggregation operator
Basic uncertain information
Information fusion
Multi-criteria evaluation
Preference involved evaluation
url https://doi.org/10.1007/s44196-022-00066-9
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AT radkomesiar relativebasicuncertaininformationinpreferenceanduncertaininvolvedinformationfusion
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