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The IOWAWA operator with bonferroni means
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019 The induced ordered weighted average is an averaging aggregation operator that provides a parameterized family of aggregation operators between the minimum and the maximum. This paper presents a new operator that takes into the same formulation the IOWA operator and the Bonferroni means.
Ernesto Leon-Castro +2 more
exaly +3 more sources
Variances with Bonferroni means and ordered weighted averages
International Journal of Intelligent Systems, 2019 The variance is a statistical measure frequently used for analysis of dispersion in the data. This paper presents new types of variances that use Bonferroni means and ordered weighted averages in the aggregation process of the variance. The main advantage of this approach is that we can underestimate or overestimate the variance according to the ...
Ernesto Leon-Castro +2 more
exaly +6 more sources
Using Linear Programming for Weights Identification of Generalized Bonferroni Means in R
Lecture Notes in Computer Science, 2012 The generalized Bonferroni mean is able to capture some interaction effects between variables and model mandatory requirements. We present a number of weights identification algorithms we have developed in the R programming language in order to model data using the generalized Bonferroni mean subject to various preferences. We then compare its accuracy
Gleb Beliakov
exaly +3 more sources
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Intuitionistic Fuzzy Bonferroni Means
IEEE Transactions on Systems, Man, and Cybernetics, 2011The Bonferroni mean (BM) was originally introduced by Bonferroni and then more recently generalized by Yager. The desirable characteristic of the BM is its capability to capture the interrelationship between input arguments. Nevertheless, it seems that the existing literature only considers the BM for aggregating crisp numbers instead of any other ...
Ronald Yager, Zeshui Xu
exaly +4 more sources
Hesitant fuzzy geometric Bonferroni means
Information Sciences, 2012zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Meimei Xia, Zeshui Xu
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On Generalized Extended Bonferroni Means for Decision Making
IEEE Transactions on Fuzzy Systems, 2016The extended Bonferroni mean (EBM) recently proposed differs from the classical Bonferroni mean, as it aims to capture the heterogeneous interrelationship among the attributes instead of presupposing a homogeneous relation among them. In this study, we generalize the EBM to explicitly and profoundly understand its aggregation mechanism by defining a ...
Kwai-Sang Chin +2 more
exaly +2 more sources
Geometric Bonferroni means with their application in multi-criteria decision making
Knowledge-Based Systems, 2013In this paper, we introduce the Bonferroni geometric mean, which is a generalization of the Bonferroni mean and geometric mean and can reflect the correlations of the aggregated arguments. To describe the uncertainty and fuzziness more objectively, intutionistic fuzzy set could be used for considering the membership, non-membership and uncertainty ...
Meimei Xia, Zeshui Xu
exaly +3 more sources
Hesitant fuzzy Bonferroni means for multi-criteria decision making
Journal of the Operational Research Society, 2013Due to the desirable characteristic of the Bonferroni mean (BM) that it can capture the interrelationship between input arguments, and in order to provide the properties and the modelling capability of the BMs under hesitant fuzzy environment, we explore some new hesitant fuzzy Bonferroni means (HFBMs). The properties and the special cases of HFBMs are
Z S Xu
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Bonferroni Means with the Adequacy Coefficient and the Index of Maximum and Minimum Level
Lecture Notes in Business Information Processing, 2016The aim of the paper is to develop new aggregation operators using Bonferroni means, OWA operators and some distance and norms measures. We introduce the BON-OWAAC and BON-OWAIMAM operators. We are able to include adequacy coefficient and the maximum and minimum level in the same formulation with Bonferroni means and OWA operator.
José M Merigo, Blanco-Mesa Fabio
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Bonferroni Mean With Weighted Interaction
IEEE Transactions on Fuzzy Systems, 2018Bonferroni mean aggregates the interaction between all pairs of inputs from some $n$ -dimensional input vector. Therefore, it is able to capture the dependency structure between the inputs. Weighted version of the Bonferroni mean then assumes that each input has a possibly different weight.
Andrea Mesiarová-Zemánková +2 more
openaire +1 more source