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This 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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A Parameter-tunable Triangular Norm with Monotonic Genes
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
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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A Probability Integral on η-fuzzy Measure
For the study of relevant definitions and theorems of fuzzy integrals, a fuzzy measure is first defined; then a pair of optimized Einstein operators of the form are designed, which are λ-fuzzy quasiproduct operator and λ-fuzzy quasisum operator ...
CHANG Xin-qi, ZHAO Hui, WU Yang
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For a quantale I, which is a unit interval endowed with a continuous triangular norm and the Barr extension β¯I of the ultrafilter monad to I-Rel, a characterization of the discrete presheaf monad associated to β¯I is given. It is also proved that, when &
Gao Zhang, Shaoqun Zhang
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Decision making by hybrid probabilistic: Possibilistic utility theory [PDF]
It is presented an approach to decision theory based upon nonprobabilistic uncertainty. There is an axiomatization of the hybrid probabilistic possibilistic mixtures based on a pair of triangular conorm and triangular norm satisfying restricted ...
Pap Endre
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A Benchmark Similarity Measures for Fermatean Fuzzy Sets
In this paper, we utilized triangular conorms (S-norm). The essence of using S-norm is that the similarity order does not change using different norms.
Faiz Muhammad Khan +2 more
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Conceptual interpretation of interval valued 𝑇̅- normed fuzzy 𝛽-subalgebra [PDF]
Triangular norm is a sort of binary operation often used in the fields such as fuzzy logic, probabilistic metric spaces and so on. In this paper, the concept of interval valued 𝑇̅-normed fuzzy 𝛽-subalgebra is proposed and its associated outcomes ...
P. Hemavathi +3 more
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Bounds for the Operator Norm on Weighted Cesaro Fractional Difference Sequence Spaces [PDF]
In this paper, we determine the upper and lower bounds for the norm of lower triangular matrix operators on Ces\`{a}ro weighted $(p,v)-$fractional difference sequence spaces of modulus functions.
Kuldib Raj +2 more
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Archimedean components of triangular norms [PDF]
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.
Klement, Erich Peter +2 more
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