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The Journal of Analysis

, Volume 27, Issue 1, pp 151–160 | Cite as

On quotient BF-algebras via interval-valued intuitionistic fuzzy ideals

  • D. RameshEmail author
  • B. Satyanarayana
  • N. Srimannarayana
Original Research Paper
  • 40 Downloads

Abstract

The present paper gives a new construction of a quotient BF-algebra \( {\raise0.5ex\hbox{$\scriptstyle X$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle I$}} \) by an interval-valued intuitionistic fuzzy ideal I in BF-algebra X, we show that if I is a interval-valued intuitionistic fuzzy ideal of BF-algebra X, then \( {\raise0.5ex\hbox{$\scriptstyle X$} \kern-0.1em/\kern-0.15em \lower0.25ex\hbox{$\scriptstyle I$}} \) is a BF-algebra if and only if I is an interval-valued intuitionistic fuzzy ideal of BF-algebra X and investigate some of its properties.

Keywords

BF-algebras Intuitionistic fuzzy set Interval-valued intuitionistic fuzzy ideals 

Mathematics Subject Classifications

06F35 03E72 46S40 

Notes

Compliance with ethical standards

Conflict of interest

All the authors declare that they have no conflict of interest.

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Copyright information

© Forum D'Analystes, Chennai 2018

Authors and Affiliations

  1. 1.Department of MathematicsK.L.E.FGunturIndia
  2. 2.Department of MathematicsAcharya Nagarjuna UniversityGunturIndia

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