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Fuzzy c-varieties/elliptotypes clustering in reproducing kernel Hilbert space

Fuzzy Sets and Systems, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
exaly   +2 more sources

Numerical solutions of fuzzy differential equations using reproducing kernel Hilbert space method

Soft Computing, 2015
This paper presents a new method for solving fuzzy differential equations based on the use of the reproducing kernel Hilbert space method under the assumption of strongly generalized differentiability. After some preliminary definitions and results , the paper introduces an overview of the theory of fuzzy differential equations.
Omar Abu Arqub   +2 more
exaly   +2 more sources

A note on fuzzy Hilbert spaces

Journal of Intelligent & Fuzzy Systems, 2016
Recently, Hasankhani et al. proved that any Felbin-fuzzy inner product space can be imbedded in a complete Felbin-fuzzy inner product space or Felbin-fuzzy Hilbert space. In this paper, it is showed a general result that any classical Hilbert space is a Felbin-fuzzy Hilbert space, so it shows that all results in classical Hilbert spaces are immediate ...
Bayaz Daraby   +2 more
openaire   +2 more sources

Some properties of fuzzy Hilbert spaces and norm of operators

2010
The authors introduce the notion of the fuzzy inner product such that its corresponding fuzzy norm is just a fuzzy norm in the sense of \textit{J.-Z. Xiao} and \textit{X.-H. Zhu} [Fuzzy Sets Syst. 125, No.~2, 153--161 (2002; Zbl 1018.46039)] and obtain the following main results: (1) the Cauchy-Schwarz inequality holds; (2) every such fuzzy inner ...
Hasankhani, Abbas   +2 more
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A General Study of Fuzzy Co-Pre-Hilbert Spaces

Galoitica: Journal of Mathematical Structures and Applications, 2023
This paper introduces the concepts fuzzy pre-Hilbert spaces and fuzzy co-pre-Hilbert spaces and proves some theorems in this subject. Also, it illustrates many examples to clarify the validity of the new concepts.
openaire   +1 more source

The emergence of fuzzy events in Hilbert space quantum theory

2004
The event-structures we have studied so far (both in the abstract and in the Hilbert space situation) are typically sharp: any event always satisfies the noncontradiction principle.
M. Dalla Chiara   +2 more
openaire   +1 more source

Some generalizations of fuzzy soft (kˆ *– Â)-quasinormal operators in fuzzy soft Hilbert spaces

Journal of Interdisciplinary Mathematics, 2023
This article is a continuation of generalizations in field operator theory in mathematics, such as we introduce new classes of fuzzy soft operator, which namely fuzzy soft (kˆ *– Â)-quasinormal operator in fuzzy soft Hilbert space, and shortly FS-(kˆ *– Â)-quasinormal operator.
openaire   +1 more source

Novelty Detection Using Elliptical Fuzzy Clustering in a Reproducing Kernel Hilbert Space

2018
Nowadays novelty detection methods based on one-class classification are widely used for many important applications associated with computer and information security. In these areas, there is a need to detect anomalies in complex high-dimensional data.
Maria Kazachuk   +3 more
openaire   +1 more source

Fuzzy Soft Paranormal Operator in Fuzzy Soft Hilbert Space

Communications on Applied Nonlinear Analysis
This paper defines the fuzzy soft paranormal operator and discusses several fundamental fuzzy soft paranormal operator properties in fuzzy soft hilbert space. Some concepts relevant to the fuzzy soft paranormal operator have been defined in fuzzy soft Hilbert space.
openaire   +1 more source

An Iterative Method for a Class of Generalized Global Dynamical System Involving Fuzzy Mappings in Hilbert Spaces

2012
This paper presents a class of generalized global dynamical system involving (H,η) set-valued monotone mappings and a set-valued function induced by a closed fuzzy mapping in Hilbert spaces. By using the resolvent operator technique and Nadler fixed-point theorem, we prove the equilibrium point set is not empty and closed. Furthermore, we develop a new
Yun-Zhi Zou   +3 more
openaire   +1 more source

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