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Generalized intuitionistic fuzzy Bonferroni means
International Journal of Intelligent Systems, 2011Intuitionistic fuzzy set is a widely used tool to express the membership, nonmembership, and hesitancy information of an element to a set. To aggregate the intuitionistic fuzzy information, a lot of aggregation techniques have been developed, especially, the ones which reflect the correlations of the aggregated arguments are the hot research topics ...
Meimei Xia, Zeshui Xu, Bin Zhu 0017
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Bonferroni mean based similarity based TOPSIS
2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016In this paper we introduce a generalization of the similarity based TOPSIS by using the Bonferroni mean. By generalizing similarity computation between an alternative and the ideal solution we also create an effect, where the ranking of alternatives can change depending on parameter value selection.
Pasi Luukka, Mikael Collan
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Applied Soft Computing, 2019
Abstract The geometric Bonferroni mean (GeoBM), which was designed as a primitive attempt to extend the Bonferroni mean (BM), has enriched the family of BM-type aggregation functions in a variety of decision-making contexts to model homogeneous relations among certain attributes.
Zhen-Song Chen 0002 +2 more
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Abstract The geometric Bonferroni mean (GeoBM), which was designed as a primitive attempt to extend the Bonferroni mean (BM), has enriched the family of BM-type aggregation functions in a variety of decision-making contexts to model homogeneous relations among certain attributes.
Zhen-Song Chen 0002 +2 more
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A new family of Bonferroni mean-type pre-aggregation operators
2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2020The concept of pre-aggregation functions, which was oriented as an elementary attempt to outstretch the notion of monotonicity in aggregation functions, has enlarged the class of operators for information accumulation by considering directional monotonicity with respect to a vector. This consideration propels us to focus on the systematic investigation
Swati Rani Hait +3 more
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Inspired by the idea of Bonferroni mean, in this paper we develop an aggregation technique called the interval-valued intuitionistic fuzzy Bonferroni mean for aggregating interval-valued intuitionistic fuzzy information.
Zeshui Xu
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Choquet integral-based intuitionistic fuzzy bonferroni mean operator
2016 Ninth International Conference on Contemporary Computing (IC3), 2016The objective of work is to present a Choquet integral-based intuitionistic fuzzy bonferroni mean operator for fuse the different information. Since Choquet integral not only consider the individual criteria but the correlation between the criteria is also taken into account.
Harish Garg +2 more
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A new fuzzy k-nearest neighbor classifier based on the Bonferroni mean
Pattern Recognition Letters, 2020Abstract We present a new generalized version of the fuzzy k-nearest neighbor (FKNN) classifier that uses local mean vectors and utilizes the Bonferroni mean. We call the proposed new method Bonferroni-mean based fuzzy k-nearest neighbor (BM-FKNN) classifier.
Mahinda Mailagaha Kumbure +2 more
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Generalization and extension of partitioned Bonferroni mean operator to model optional prerequisites
International Journal of Intelligent Systems, 2020The partitioned Bonferroni mean (PBM) operator, which was oriented as an elementary attempt to outstretch the Bonferroni mean (BM) operator, has enlarged the class of BM-type aggregation operators for information accumulation by modeling interrelationship among pairwise disjoint partition sets with the presupposition that the criteria of intra ...
Swati Rani Hait +3 more
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Schur Convexity of Functional Bonferroni Mean
Journal of Inequalities and Mathematical AnalysisIn this paper, we introduce a functional extension of the classical Bonferroni mean. Using tools from majorization theory together with differential criteria for Schur convexity, we establish sufficient conditions under which the functional Bonferroni mean and the functional generalized Bonferroni harmonic mean are Schur convex, Schur concave, or Schur
Dong-Sheng Wang, Jing Zhang
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On Generalized Intuitionistic Fuzzy Interaction Partitioned Bonferroni Mean Operators
2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2019Intuitionistic fuzzy set theory has become a powerful tool to describe uncertain or vague information. Bonferroni mean (BM) operator captures the interrelationship among aggregated arguments during the aggregation process. Recently, the partitioned Bonferroni mean (PBM) operator has been proposed with the assumption that the interrelationships do not ...
Rajkumar Verma, José M. Merigó
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