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Interval Cut-Set of Generalized Interval-Valued Intuitionistic Fuzzy Sets

Amal Kumar Adak, Monoranjan Bhowmik and Madhumangal Pal
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Amal Kumar Adak: Vidyasagar University, India
Monoranjan Bhowmik: Vidyasagar Teacher’s Training College, India
Madhumangal Pal: Vidyasagar University, India

International Journal of Fuzzy System Applications (IJFSA), 2012, vol. 2, issue 3, 35-50

Abstract: In this paper, some different types of interval cut-set of genaralized interval-valued intuitionistic fuzzy sets (GIVIFSs), complement of these cut-sets are introduced. Some properties of those cut-set of GIVIFSs are investigated. Also three decomposition theorems of GIVIFSs are obtained based on the different cut-set of GIVIFSs. These works can also be used in setting up the basic theory of GIVIFSs.

Date: 2012
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