Finite Dimensional Convex Fuzzy Normed Space and Its Basic Properties

Authors

Hawraa Yousif Daher, Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq.Follow
Jehad R. Kider, Branch of Mathematics and Computer Applications, Department of Applied Sciences, University of Technology, Baghdad, Iraq.

Abstract

Here the notion of convex fuzzy absolute value space is represented with an example which shows that the existence of such space. The reason behind introducing the definition of convex fuzzy absolute value and does not using the ordinary absolute value is the main definition in this paper will be not correct with ordinary absolute value. After that the main definition of convex fuzzy normed space is recalled with example which shows that the existence of such space. Then other definitions and theorems is recalled that will be used later in the section of main results such as the convex fuzzy norm is convex fuzzy continuous function. So our goal in the section of results and discussion is to prove some properties of finite dimensional convex fuzzy normed space which not true ingeneral for convex fuzzy normed space. Thus the last section contains the following results with proofs if 𝒟 is a subspace of the convex fuzzy normed space 𝒰 with dim 𝒟

Keywords

Convex Fuzzy Absolute Value Space, Convex Fuzzy Complete Space, Convex Fuzzy Compact Space, Convex Fuzzy Equivalent Norms, Convex Fuzzy Normed Space.

Subject Area

Mathematics

Article Type

Article

First Page

1328

Last Page

1324

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite this Article

Daher, Hawraa Yousif and Kider, Jehad R. (2025) "Finite Dimensional Convex Fuzzy Normed Space and Its Basic Properties," Baghdad Science Journal: Vol. 22: Iss. 4, Article 25.
DOI: https://doi.org/10.21123/bsj.2024.10530