English

Interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules

General Mathematics 2007-05-23 v1

Abstract

On the basis of the concept of the interval valued intuitionistic fuzzy sets introduced by K.Atanassov, the notion of interval valued intuitionistic fuzzy HvH_v-submodules of an HvH_v-module with respect to tt-norm TT and ss-norm SS is given and the characteristic properties are described. The homomorphic image and the inverse image are investigated.In particular, the connections between interval valued intuitionistic (S,T)(S,T)-fuzzy HvH_v-submodules and interval valued intuitionistic (S,T)(S,T)-fuzzy submodules are discussed.

Keywords

Cite

@article{arxiv.math/0605714,
  title  = {Interval valued intuitionistic $(S,T)$-fuzzy $H_v$-submodules},
  author = {Jianming Zhan and Wiesław A. Dudek},
  journal= {arXiv preprint arXiv:math/0605714},
  year   = {2007}
}