Abstract

Pseudo-topological spaces (i.e. limit spaces) were defined by Fischer in 1959. In this paper the theory of fuzzy pseudo-topological spaces is applied to vector spaces. We introduce the concept of boundedness in fuzzy pseudo-topological vector spaces.

Highlights

  • I’seudo-topological spaces (i.e. limit spaces) were defined by Fischer in 1959. In this paper the theory o f fu zzy pseudo-topological spaces is applied to vector spaces

  • I’seudo-topological spaces were defined by Fischer in 1959

  • A charac­ terization of fu/,/.y pscudo-topological vector spaccs is obtained, and an example is given of a fu/,/y pscudo-topological vcctor space which is not a fuzzy topological vcctor spacc

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Summary

Introduction

I’seudo-topological spaces (i.e. limit spaces) were defined by Fischer in 1959. In this paper the theory o f fu zzy pseudo-topological spaces is applied to vector spaces. (1) Gestel T e Ap. Aangesien [a] e [a] volg a F = [ a \ F e [a] J vir elke F e J. Word newel-oop genoem indien vir elke punt p ' m U ' n ooreenkomstige V &

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