Abstract

Our aim in the present paper is to introduce and study new connection between fuzzy retractions, fuzzy foldings and fuzzy deformation retracts of fuzzy open hyperboloid in fuzzy Minkowski space and fuzzy open ball in fuzzy Euclidean space. Types of fuzzy foldings and fuzzy deformation retracts of fuzzy open hyperboloid are discussed. Types of minimal fuzzy retractions of fuzzy open hyperboloid are presented. The fuzzy foldings of fuzzy open hyperboloid will be deduced. Some applications are presented.

Highlights

  • Introduction and DefinitionsThere are many diverse applications of certain phenomena for which it is impossible to get relevant data

  • The aim of the present paper is to describe the above phenomena geometrically, concerned with the study of the new types of fuzzy retractions, fuzzy deformation retracts and fuzzy folding of fuzzy open hyperboloid

  • Types of fuzzy retractions of one-dimensional fuzzy hyperboloid embedded in two-dimensional Minkowski space

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Summary

Introduction

Introduction and DefinitionsThere are many diverse applications of certain phenomena for which it is impossible to get relevant data. ( ) H n = Hn − (g ) in fuzzy Minkowski space as presented by If I does not preserve lengths, I is a topological folding of fuzzy hyperboloid in fuzzy Minkowski space [8, 9, 13,14,15,16,17,18,19].

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