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Construction of admissible linear orders for interval-valued Atanassov intuitionistic fuzzy sets with an application to decision making
(Elsevier, 2015)
Artículo / Artikulua,
In this work we introduce a method for constructing linear orders between pairs of intervals by using
aggregation functions. We adapt this method to the case of interval-valued Atanassov intuitionistic fuzzy
sets and we ...
Unsymmetrical basic uncertain information with some decision-making methods
(IOS Press, 2022)
Artículo / Artikulua,
Motivated by a specific decision-making situation, this work proposes the concept and definition of unsymmetrical basic uncertain information which is a further generalization of basic uncertain information and can model ...
A framework for generalized monotonicity of fusion functions
(Elsevier, 2023)
Artículo / Artikulua,
The relaxation of the property of monotonicity is a trend in the theory of aggregation and fusion functions and several generalized forms of monotonicity have been introduced, most of which are based on the notion of ...
A new family of aggregation functions for intervals
(Springer, 2024)
Artículo / Artikulua,
Aggregation operators are unvaluable tools when different pieces of information have to be taken into account with respect to the same object. They allow to obtain a unique outcome when different evaluations are available ...
The interval-valued Choquet integral based on admissible permutations
(IEEE, 2018)
info:eu-repo/semantics/article,
Aggregation or fusion of interval data is not a trivial task, since the necessity of arranging data arises in many aggregation functions, such as OWA operators or the Choquet integral. Some arranging procedures have been ...
Nested formulation paradigms for induced ordered weighted averaging aggregation for decision‐making and evaluation
(Wiley, 2019)
info:eu-repo/semantics/article,
Existing extensions to Yager's ordered weighted aver-aging (OWA) operators enlarge the application rangeand to encompass more principles and properties relatedto OWA aggregation. However, these extensions do notprovide a ...
Strengthened ordered directionally monotone functions. Links between the different notions of monotonicity
(Elsevier, 2019)
info:eu-repo/semantics/article,
In this work, we propose a new notion of monotonicity: strengthened ordered directional monotonicity. This generalization of monotonicity is based on directional monotonicity and ordered directional monotonicity, two recent ...
Strengthened ordered directional and other generalizations of monotonicity for aggregation functions
(Springer, 2018)
info:eu-repo/semantics/conferenceObject,
A tendency in the theory of aggregation functions is the generalization of the monotonicity condition. In this work, we examine the latest developments in terms of different generalizations. In particular, we discuss ...
A generalization of the Choquet integral defined in terms of the Mobius transform
(IEEE, 2020)
info:eu-repo/semantics/article,
In this article, we propose a generalization of the Choquet integral, starting fromits definition in terms of the Mobius transform. We modify the product on R considered in the Lovasz extension form of the Choquet integral ...
Directions of directional, ordered directional and strengthened ordered directional increasingness of linear and ordered linear fusion operators
(IEEE, 2019)
info:eu-repo/semantics/conferenceObject,
In this work we discuss the forms of monotonicity that have been recently introduced to relax the monotonicity condition in the definition of aggregation functions. We focus on directional, ordered directional and strengthened ...