Displaying similar documents to “Suzuki type fuzzy 𝒵 -contractive mappings and fixed points in fuzzy metric spaces”

Fuzzy differential subordinations connected with the linear operator

Sheza M. El-Deeb, Georgia I. Oros (2021)

Mathematica Bohemica

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We obtain several fuzzy differential subordinations by using a linear operator ℐ m , γ n , α f ( z ) = z + ∑ k = 2 ∞ ( 1 + γ ( k - 1 ) ) n m α ( m + k ) - α a k z k . Using the linear operator ℐ m , γ n , α , we also introduce a class of univalent analytic functions for which we give some properties.

Preservation of properties of fuzzy relations during aggregation processes

Józef Drewniak, Urszula Dudziak (2007)

Kybernetika

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Diverse classes of fuzzy relations such as reflexive, irreflexive, symmetric, asymmetric, antisymmetric, connected, and transitive fuzzy relations are studied. Moreover, intersections of basic relation classes such as tolerances, tournaments, equivalences, and orders are regarded and the problem of preservation of these properties by n -ary operations is considered. Namely, with the use of fuzzy relations R 1 , ... , R n and n -argument operation F on the interval [ 0 , 1 ] , a new fuzzy relation R F = F ( R 1 , ... , R n ) is created....

Properties of fuzzy relations powers

Józef Drewniak, Barbara Pȩkala (2007)

Kybernetika

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Properties of sup - * compositions of fuzzy relations were first examined in Goguen [8] and next discussed by many authors. Power sequence of fuzzy relations was mainly considered in the case of matrices of fuzzy relation on a finite set. We consider sup - * powers of fuzzy relations under diverse assumptions about * operation. At first, we remind fundamental properties of sup - * composition. Then, we introduce some manipulations on relation powers. Next, the closure and interior of fuzzy relations...

Convex ( L , M ) -fuzzy remote neighborhood operators

Hu Zhao, Li-Yan Jia, Gui-Xiu Chen (2024)

Kybernetika

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In this paper, two kinds of remote neighborhood operators in ( L , M ) -fuzzy convex spaces are proposed, which are called convex ( L , M ) -fuzzy remote neighborhood operators. It is proved that these two kinds of convex ( L , M ) -fuzzy remote neighborhood operators can be used to characterize ( L , M ) -fuzzy convex structures. In addition, the lattice structures of two kinds of convex ( L , M ) -fuzzy remote neighborhood operators are also given.

Extensions of fuzzy connectives on ACDL

Hui Liu, Bin Zhao (2019)

Kybernetika

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The main goal of this paper is to construct fuzzy connectives on algebraic completely distributive lattice(ACDL) by means of extending fuzzy connectives on the set of completely join-prime elements or on the set of completely meet-prime elements, and discuss some properties of the new fuzzy connectives. Firstly, we present the methods to construct t-norms, t-conorms, fuzzy negations valued on ACDL and discuss whether De Morgan triple will be kept. Then we put forward two ways to extend...

Yager’s classes of fuzzy implications: some properties and intersections

Michał Baczyński, Balasubramaniam Jayaram (2007)

Kybernetika

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Recently, Yager in the article “On some new classes of implication operators and their role in approximate reasoning” [Yager2004] has introduced two new classes of fuzzy implications called the f -generated and g -generated implications. Along similar lines, one of us has proposed another class of fuzzy implications called the h -generated implications. In this article we discuss in detail some properties of the above mentioned classes of fuzzy implications and we describe their relationships...