African Journal of
Mathematics and Computer Science Research

  • Abbreviation: Afr. J. Math. Comput. Sci. Res.
  • Language: English
  • ISSN: 2006-9731
  • DOI: 10.5897/AJMCSR
  • Start Year: 2008
  • Published Articles: 254

Full Length Research Paper

Interval cut-set of interval-valued intuitionistic fuzzy sets

Amal Kumar Adak1 and Monoranjan Bhowmik2*
  1Department of Applied Mathematics with Oceanology and Computer Programming, Vidyasagar University, Midnapore -- 721102, India. 2Department of Mathematics, Vidyasagar Teachers' Training College (V. T. T College), Midnapore, Paschim Medinipur -- 721101, India.
Email: [email protected]

  •  Accepted: 14 December 2010
  •  Published: 30 April 2011



In this paper, different types of interval cut-set of interval-valued intuitionistic fuzzy sets (IVIFSs), complement of these cut-sets are defined. Some properties of those cut-set of IVIFSs are investigated. Also three decomposition theorems of IVIFSs are defined. These works can also be used in setting up the basic theory of IVIFSs.


Key words:  Interval-valued intuitionistic fuzzy sets, interval cut-set on interval-valued intuitionistic fuzzy sets, decomposition theorem.