M. MILLES Soheyb

MCB

Directory of teachers

Department

MI - Joint Basci Teaching Department

Research Interests

Théorie des ensembles ordonnés flous. Théorie des points fixes dans les ensembles ordonnés flous. Caractérisation des treillis flous et trellis flous. Théorie des ensembles flous intuitionnistes. Théorie des ensembles neutrosophiques. Topologie floue induit par relation floue.

Contact Info

University of M'Sila, Algeria

Email : soheyb.milles@univ-msila.dz

On the Web:

  • Google Scholar N/A
  • ResearchGate
    ResearchGate N/A
  • ORCID N/A
  • SC
    Scopus N/A

Recent Publications

2020

PRINCIPAL INTUITIONISTIC FUZZY IDEALS AND FILTERS ON A LATTICE

In this paper, we generalize the notion of principal ideal (resp. filter) on a lattice to the setting of intuitionistic fuzzy sets and investigate their various characterizations and properties. More specifically, we show that any principal intuitionistic fuzzy ideal (resp. filter) coincides with an intuitionistic fuzzy down-set (resp. up-set) generated by an intuitionistic fuzzy singleton. Afterwards, for a given intuitionistic fuzzy set, we introduce two intuitionistic fuzzy sets: its intuitionistic fuzzy down-set and up-set, and we investigate their interesting properties.
Citation

M. MILLES Soheyb, (2020), "PRINCIPAL INTUITIONISTIC FUZZY IDEALS AND FILTERS ON A LATTICE", [national] Discussiones Mathematicae , Faculty of Mathematics Computer Science and Econometrics University of Zielona Góra

Read Full Paper
2019

Fixed point theorems on intuitionistic fuzzy ordered sets.

In this presentation, we characterize the fixed point property for certain classes of intuitionistic fuzzy ordered sets previously
introduced by Bustince and Burillo. The class of intuitionistic fuzzy lattice recently proposed by
Tripathy et al. and the class of intuitionistic fuzzy chain-complete poset, which we will introduce later in this paper.
Citation

M. MILLES Soheyb, (2019), "Fixed point theorems on intuitionistic fuzzy ordered sets.", [international] International Conference on Advances in Applied Mathematics ICAAM. , Tunis

Read Full Paper

Tarski-Davis's fixed point theorem for certain classes of intuitionistic fuzzy ordered sets

Tarski and Davis [5, 6] were the fi rst who have studied the fi xed point property for certain
classes of ordered sets. In applications as point of view, partially ordered sets evolved the fi xed
point theory to generalize and solve many results and problems in linear and non-linear analysis.
In this paper, we characterize the fi xed point property for certain classes of intuitionistic fuzzy
ordered sets previously introduced by Bustince and Burillo [3, 4]. The class of intuitionistic fuzzy
lattice recently proposed by Tripathy et al. [7] and the class of intuitionistic fuzzy chain-complete
poset, which we will introduce later in this paper.
Citation

M. MILLES Soheyb, (2019), "Tarski-Davis's fixed point theorem for certain classes of intuitionistic fuzzy ordered sets", [national] Journée de Mathématiques Appliquées JMA2019. , Mila University

Read Full Paper
2017

The fixed point property for intuitionistic fuzzy lattices

In this paper, based on the concept of intuitionistic fuzzy lattice previously introduced by Tripathy and his colleagues, a class of intuitionistic fuzzy complete lattices is proposed with some interesting characterizations given. In particular, we show the fixed point property for this proposed class. Conversely, we show that any intuitionistic fuzzy lattice is complete having its fixed point property. These results establish a criterion for completeness of intuitionistic fuzzy lattices in terms of the fixed points of their intuitionistic fuzzy monotone mappings.

Keywords: Atanassov's intuitionistic fuzzy set, Intuitionistic fuzzy relation, Intuitionistic fuzzy lattice, Fixed point property
Citation

M. MILLES Soheyb, Ewa Rak, , (2017), "The fixed point property for intuitionistic fuzzy lattices", [national] Fuzzy Information and Engineering , Taylor and Francis

Read Full Paper
← Back to Researchers List