Intuitionistic fuzzy $H_v$-submodules

Bijan Davvaz; Wiesław A. Dudek; Young Bae Jun

doi:10.1016/j.ins.2004.10.009

Intuitionistic fuzzy $H_v$-submodules

General Mathematics 2007-05-23 v1

Authors: Bijan Davvaz , Wiesław A. Dudek , Young Bae Jun

View on arXiv ↗ PDF ↗ DOI ↗

Abstract

After the introduction of fuzzy sets by Zadeh, there have been a number of generalizations of this fundamental concept. The notion of intuitionistic fuzzy sets introduced by Atanassov is one among them. In this paper, we apply the concept of an intuitionistic fuzzy set to $H_v$ -modules. The notion of an intuitionistic fuzzy $H_v$ -submodule of an $H_v$ -module is introduced, and some related properties are investigated. Characterizations of intuitionistic fuzzy $H_v$ -submodules are given.

Keywords

fuzzy sets and intuitionistic fuzzy sets

Cite

@article{arxiv.math/0503207,
  title  = {Intuitionistic fuzzy $H_v$-submodules},
  author = {Bijan Davvaz and Wiesław A. Dudek and Young Bae Jun},
  journal= {arXiv preprint arXiv:math/0503207},
  year   = {2007}
}

Comments

16 pages

Related papers

View all related →