Decision algorithm for educational institute selection with spherical fuzzy heronian mean operators and Aczel-Alsina triangular norm [PDF]
HeliyonThis article presents a novel study of spherical fuzzy sets (SFSs), a more comprehensive framework of intuitionistic fuzzy sets and picture fuzzy sets. The SFS allows the decision-makers (DMs) to cope with complicated and insufficient information during ...
Abrar Hussain +5 more
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Archimedean components of triangular norms [PDF]
Journal of the Australian Mathematical Society, 2005 AbstractThe Archimedean components of triangular norms (which turn the closed unit interval into anabelian, totally ordered semigroup with neutral element 1) are studied, in particular their extension to triangular norms, and some construction methods for Archimedean components are given.
Erich Peter Klement +2 more
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A Parametric Family of Triangular Norms and Conorms with an Additive Generator in the Form of an Arctangent of a Linear Fractional Function [PDF]
Computation, 2023 At present, fuzzy modeling has established itself as an effective tool for designing and developing systems for various purposes that are used to solve problems of control, diagnostics, forecasting, and decision making. One of the most important problems
Tatiana Ledeneva
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Triangular norms which are join-morphisms in 3-dimensional fuzzy set theory [PDF]
, 2013 The n-dimensional fuzzy sets have been introduced as a generalization of interval-valued fuzzy sets, Atanassov's intuitionistic and interval-valued intuitionistic fuzzy sets.
Deschrijver, Glad
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Spaces of non-additive measures generated by triangular norms
Математичні Студії, 2023 We consider non-additive measures on the compact Hausdorff spaces, which are generalizations of the idempotent measures and max-min measures. These measures are related to the continuous triangular norms and they are defined as functionals on the spaces ...
Kh. Sukhorukova
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Explicit formulas for generators of triangular norms
Publicationes Mathematicae Debrecen, 2010 Archimedean t-norms in the unit interval \([0,1]\) admit a representation of the form \(T(x,y)=t^{[-1]}(t(x)+t(y))\) where \(t\) is an additive generator (and a multiplicative version is also possible). The problem of finding explicit expressions for \(t(x)\) given \(T\) has received a lot of attention in the literature without assuming derivability ...
Mirko Navara +2 more
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Retraction notice to "Decision algorithm for educational institute selection with spherical fuzzy heronian mean operators and Aczel-Alsina triangular norm" [Heliyon 10 (2024) e28383]. [PDF]
HeliyonHussain A +5 more
europepmc +2 more sources
A Parameter-tunable Triangular Norm with Monotonic Genes
Journal of Harbin University of Science and Technology, 2023 In order to study the optimization of Zadeh operator, a definition of parameter-tunable triangular norm with monotonic genes is given.First, we defined a kind of triangular norm Fλin the general sense generated by monotone functions using elementary ...
WU Lunhua, ZHAO Hui, WANG Yue
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Triangular Norm-Based Elements on Bounded Lattices
Axioms, 2023 In this study, we introduce the notion of the T-irreducible element as a generalization of the notion of the meet-irreducible element in complete lattices. We derive some related properties of these elements and T-prime elements.
Şerife Yılmaz, Rabia İşçi
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