# Metric Spaces Of Fuzzy Sets Theory And Applications Pdf

File Name: metric spaces of fuzzy sets theory and applications .zip

Size: 2931Kb

Published: 18.03.2021

*Zotero Mendeley EndNote.*

- Matrix Representations of Fuzzy Quaternion Numbers
- A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction
- Artificial Intelligence Exam Questions And Answers Pdf

We introduce a space of functions which can be interpreted as a similarity-based approach to fuzzy metric spaces. The triangle inequality we propose is defined by means of a fuzzy ordering. We compare the introduced space with fuzzy metric spaces in the sense of Seikkala and Kaleva. Finally we complete the work discovering the corresponding classical as well as fuzzy topologies.

## Matrix Representations of Fuzzy Quaternion Numbers

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Diamond and P. Diamond , P. Kloeden Published Mathematics.

In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space. The theory of metric space is an important topic in topology. The methods of constructing a fuzzy metric have been extensively studied [ 1 — 4 ]. It is worth noting that George and Veeramani [ 5 ] introduced the concept of a fuzzy metric with the help of continuous t-norms.

## A New Approach to Fuzzy Metric Spaces and Their Similarity-Based Construction

Metrics details. We present a procedure to construct a compatible metric from a given fuzzy metric space. Some illustrative examples are also given. Our basic reference for general topology is [ 1 ]. We start by recalling the notion of a continuous t-norm as well as some types of continuous t-norm which will be crucial throughout this paper. Two important classes of continuous are the so-called Yager continuous t-norms and Hamacher continuous t-norms, which are constructed as follows. Kramosil and Michalek [ 5 ].

Skip to search form Skip to main content You are currently offline. Some features of the site may not work correctly. DOI: Diamond and P. Diamond , P. Kloeden Published Mathematics.

Two classes of metrics are introduced for spaces of fuzzy sets. Their equivalence is L.M. GravesThe Theory of Functions of Real Variables.

## Artificial Intelligence Exam Questions And Answers Pdf

In this paper, we study the relation between a fuzzy measure and a fuzzy metric which is induced by the fuzzy measure. We also discuss some basic properties of the constructed fuzzy metric space. In particular, we show that the nonatom of fuzzy measure space can be characterized in the constructed fuzzy metric space. The theory of metric space is an important topic in topology. The methods of constructing a fuzzy metric have been extensively studied [ 1 — 4 ].

Gebru Gebray, B. The notation of fuzzy set field is introduced. A fuzzy metric is redefined on fuzzy set field and on arbitrary fuzzy set in a field.

*Box , Jeddah , Saudi Arabia. In this paper, some concepts of - metric spaces are used to study a few fuzzy fixed point theorems.*

3 comments

### Leave a comment

it’s easy to post a comment