Hölder-Minkowski type inequality for generalized Sugeno integral

Boczek, Michał; Hovana, Anton; Hutník, Ondrej; Kałuszka, Marek

doi:10.1016/j.fss.2020.01.005

Cited by 11 publications

(2 citation statements)

References 35 publications

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“…The theory of information fusion largely includes two aspects. The first one is the rigorous theory of aggregation operators [7] which has been significantly developed during the past decades [8][9][10][11][12][13]. The second concern is the development and study of the diverse data types value, while c is the certainty degree of a; and 1 − c is called the uncertain degree of a.…”

Section: Introductionmentioning

confidence: 99%

Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion

Jin

Chen

et al. 2022

Int J Comput Intell Syst

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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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Section: Introductionmentioning

confidence: 99%

Relative Basic Uncertain Information in Preference and Uncertain Involved Information Fusion

Jin

Chen

et al. 2022

Int J Comput Intell Syst

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“…Recall that aggregation operators [10,11] have been widely applied in evaluation and information fusion, and the related theories have been fast developed during the last few decades [11][12][13][14][15]. A type of well-known aggregation operators used in MCDM include weighted average, geometrical weighted average, and weighted harmonic mean [10], etc.…”

Section: Introductionmentioning

confidence: 99%

Consistent Construction of Evaluation Threshold Values and Rules for Heterogeneous Linguistic Input Information

Qian

Zhang

Chen

et al. 2021

Int J Comput Intell Syst

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This study firstly proposes a simpler method for evaluating one certain object’s quality with multiple criteria according to some preset evaluation threshold values that are real numbers. In real life, numerous individual valuations are provided with distributional linguistic input information and with multiple criteria, and thus they can become heterogeneous. Against this background, by using OWA weight functions we propose an extended setting and some methods to generate distributional evaluation threshold values which are suitable for the corresponding thresholds-based evaluation method. Some special definitions and formulations are also well provided with necessary analyses and comments. A numerical example of reservoir evaluation and effect are also illustrated.

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