Modified intuitionistic fuzzy metric spaces and some fixed point theorems

R Saadati, S Sedghi, N Shobe - Chaos, Solitons & Fractals, 2008 - Elsevier
Since the intuitionistic fuzzy metric space has extra conditions (see [Gregori V, Romaguera
S, Veereamani P. A note on intuitionistic fuzzy metric spaces. Chaos, Solitons & Fractals …

[图书][B] Fuzzy operator theory in mathematical analysis

YJ Cho, TM Rassias, R Saadati - 2018 - Springer
Fuzzy operator theory plays an increasing role in the applied sciences as well as in
mathematics itself. Consequently, it becomes more and more desirable to introduce the …

Supremum metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings

D Qiu, L Shu - Information Sciences, 2008 - Elsevier
This paper generalizes a classical result about the space of bounded closed sets with the
Hausdorff metric, and establishes the completeness of CB (X) with respect to the …

[PDF][PDF] On interrelationships between fuzzy metric structures

J Mart nez-Moreno - Iranian Journal of Fuzzy Systems, 2013 - ijfs.usb.ac.ir
Considering the increasing interest in fuzzy theory and possible applications, the concept of
fuzzy metric space concept has been introduced by severalauthors from different …

Fuzzy fixed points of fuzzy mappings via F-contractions and an application

J Ahmad, H Aydi, N Mlaiki - Journal of Intelligent & Fuzzy …, 2019 - content.iospress.com
In this manuscript, we study the existence of common α-fuzzy fixed points for fuzzy mappings
via F-contractions on a metric space. We obtain some common fixed points of fuzzy …

[PDF][PDF] On the definition of fuzzy Hilbert spaces and its application.

M Goudarzi, SM Vaezpour - The Journal of Nonlinear Sciences and its …, 2009 - eudml.org
1. Introduction and preliminaries The notion of probabilistic inner product spaces can be
considered as the generalization of that of inner product spaces. The definition of these …

Fixed point theorems for fuzzy mappings with applications

AE Al-Mazrooei, J Ahmad - Journal of Intelligent & Fuzzy …, 2019 - content.iospress.com
In this paper we obtain the common fuzzy fixed points of fuzzy mappings satisfying Θ-
contraction in a metric space. In the process, we generalize several well known recent and …

Expansion Theory of Deng's Metric in [0, 1]-Topology

B Meng, P Chen, X Ba - Mathematics, 2023 - mdpi.com
The aim of this paper is to focus on a fuzzy metric called Deng's metric in [0, 1]-topology.
Firstly, we will extend the domain of this metric function from M 0× M 0 to M× M, where M 0 …

L-Quasi (Pseudo)-Metric in L-Fuzzy Set Theory

P Chen, B Meng, X Ba - Mathematics, 2023 - mdpi.com
The aim of this paper is to focus on the metrization question in L-fuzzy sets. Firstly, we put
forward an L-quasi (pseudo)-metric on the completely distributive lattice LX by comparing …

On statistical convergence in fuzzy metric spaces

C Li, Y Zhang, J Zhang - Journal of Intelligent & Fuzzy Systems, 2020 - content.iospress.com
The idea of statistical convergence, which was first introduced by Fast and Steinhaus
independently in 1951, has become one of the most active area of research in the field of …