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Generalized intuitionistic fuzzy Bonferroni means

International Journal of Intelligent Systems, 2011
Intuitionistic 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
openaire   +1 more source

Bonferroni mean based similarity based TOPSIS

2016 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2016
In 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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Constructing the geometric Bonferroni mean from the generalized Bonferroni mean with several extensions to linguistic 2-tuples for decision-making

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
openaire   +1 more source

A new family of Bonferroni mean-type pre-aggregation operators

2020 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE), 2020
The 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
openaire   +2 more sources

A multi-criteria decision making procedure based on interval-valued intuitionistic fuzzy bonferroni means

open access: yesJournal of Systems Science and Systems Engineering, 2011
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
exaly   +2 more sources

Choquet integral-based intuitionistic fuzzy bonferroni mean operator

2016 Ninth International Conference on Contemporary Computing (IC3), 2016
The 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
openaire   +2 more sources

A new fuzzy k-nearest neighbor classifier based on the Bonferroni mean

Pattern Recognition Letters, 2020
Abstract 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
openaire   +4 more sources

Generalization and extension of partitioned Bonferroni mean operator to model optional prerequisites

International Journal of Intelligent Systems, 2020
The 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
openaire   +1 more source

Schur Convexity of Functional Bonferroni Mean

Journal of Inequalities and Mathematical Analysis
In 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), 2019
Intuitionistic 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
openaire   +2 more sources

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