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Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets
| International Journal of Computer Applications |
| Foundation of Computer Science (FCS), NY, USA |
| Volume 122 - Number 22 |
| Year of Publication: 2015 |
| Authors: S. R. Barbhuiya |
10.5120/21854-5182
|
S. R. Barbhuiya . Quasi-Cut of Fuzzy Sets and Quasi-Cut of Instuitionistic Fuzzy Sets. International Journal of Computer Applications. 122, 22 ( July 2015), 1-8. DOI=10.5120/21854-5182
Abstract
The aim of this paper is to study the properties of t-cut set, strong t-cut set, t-quasi-cut set, strong t-quasi-cut set and ∈ ∨q-cut set of a fuzzy set μ. For any intuitionistic fuzzy A =<μA , νA> and α, β ∈ [0, 1], we define and study the properties of upper (α, β) cut set Α(α, β), strong upper (α, β) cut set Α(α, β), lower (α, β) cut set A(α, β), strong lower (α, β) cut set A(α, β), upper (α, β)-quasi-cut set A<(α, β)>, strong upper (α, β)-quasi-cut set A<(α, β)>, lower (α, β)-quasi-cut set A<(α, β)>, strong lower (α, β)-quasi-cut set A <(α, β)> and ∈∨q-cut set.
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