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Triangular norm-based intuitionistic fuzzy BE-algebras and filters [PDF]

Notes on IFS
In this paper, intuitionistic fuzzy BE-algebra that a generalization of the BCK-algebra is introduced with respect to t-norms and t-conorms. The various algebraic properties of triangular norm-based intuitionistic fuzzy BE-algebras are studied in detail,
Sinem Tarsuslu (Yılmaz)
doaj   +1 more source

Triangular norms on bounded trellises

Fuzzy Sets and Systems, 2023
37 pages, 8 figure.
Lemnaouar Zedam, Bernard De Baets
openaire   +3 more sources

n-Expansively super-homogeneous and ( n , k ) $(n,k)$ -contractively sub-homogeneous fuzzy control functions and stability results with numerical examples

Advances in Difference Equations, 2021
We consider fuzzy sets and generalized triangular norms on positive elements of order commutative C ∗ $C^{*}$ -algebras to study the concept of C ∗ $C^{*}$ -algebra valued normed algebras with uncertainty.
Reza Saadati, Choonkil Park, Donal O’Regan, Sorin Nadaban   +3 more
doaj   +1 more source

Implications on a Lattice

Fuzzy Information and Engineering, 2016
In this paper, we study S-implication operator and QL-operation on a lattice L. We tabulate properties of S-implication and QL-operation with respect to different triangular norms and negations.
B. Jagadeesha, S.P. Kuncham, B.S. Kedukodi   +2 more
doaj   +1 more source

A note on drastic product logic [PDF]

, 2014
The drastic product $*_D$ is known to be the smallest $t$-norm, since $x *_D y = 0$ whenever $x, y < 1$. This $t$-norm is not left-continuous, and hence it does not admit a residuum.
B. Schweizer, F. Esteva, F. Montagna, F. Montagna, M. Bianchi, P. Cintula, R. Horčík, S. Bova, S. Wang, T. Kowalski   +9 more
core   +1 more source

Bounds for the norm of lower triangular matrices on the Cesàro weighted sequence space

Journal of Inequalities and Applications, 2017
This paper is concerned with the problem of finding bounds for the norm of lower triangular matrix operators from l p ( w ) $l_{p}(w)$ into c p ( w ) $c_{p} (w)$ , where c p ( w ) $c_{p}(w)$ is the Cesàro weighted sequence space and ( w n ) $(w_{n})$ is ...
Davoud Foroutannia, Hadi Roopaei
doaj   +1 more source

A Benchmark Similarity Measures for Fermatean Fuzzy Sets

Bulletin of the Section of Logic, 2022
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, Imran Khan, Waqas Ahmad   +2 more
doaj   +1 more source

Geometry of generators of triangular norms and copulas

Dependence Modeling
We study the relations between the shapes of strict triangular norms and their generators. The generators are not unique; to avoid this ambiguity, we introduce the class of balanced generators.
Houšková Kamila, Navara Mirko
doaj   +1 more source

Definition of Triangular Norms and Triangular Conorms on Subfamilies of Type-2 Fuzzy Sets

Axioms
In certain stages of the application of a type-2 fuzzy logic system, it is necessary to perform operations between input or output fuzzy variables in order to compute the union, intersection, aggregation, complement, and so forth.
Pablo Hernández-Varela, Francisco Javier Talavera, Susana Cubillo, Carmen Torres-Blanc, Jorge Elorza   +4 more
doaj   +1 more source

About t-norms on type-2 fuzzy sets. [PDF]

, 2013
Walker et al. defined two families of binary operations on M (set of functions of [0,1] in [0,1]), and they determined that, under certain conditions, those operations are t-norms (triangular norm) or t-conorms on L (all the normal and convex ...
Cubillo Villanueva, Susana, Hernández Varela, Pablo Ramón, Torres Blanc, Carmen   +2 more
core   +1 more source