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A Modern Introduction to Fuzzy Mathematics
book

A Modern Introduction to Fuzzy Mathematics

by Apostolos Syropoulos, Theophanes Grammenos
July 2020
Intermediate to advanced content levelIntermediate to advanced
384 pages
11h 25m
English
Wiley
Content preview from A Modern Introduction to Fuzzy Mathematics

10Fuzzy Topology

Geometry and topology are two different branches of mathematics that deal with the same objects. However, as K.D. Joshi [167, p. 67] notes “…if two objects are equivalent for a geometer, they are certainly so for a topologist” and “…two objects which look distinct to a geometer may look the same to a topologist.” In this chapter, we discuss fuzzy topology, and in the next chapter, we explore fuzzy geometry. Since metrics induce topologies, we will start with fuzzy metric spaces.

10.1 Metric and Topological Spaces1

On the line images, the distance from images to images is equal to images. More generally, the distance from images to images is denoted by images and it is equal to

equation

Using the notion of distance, we ...

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ISBN: 9781119445289Purchase book