The International Journal of Fuzzy Logic and Intelligent Systems

eISSN 2093-744X
pISSN 1598-2645

Suggested algorithm for breaking down the IF environment into α and β

Input:An IF environment where , and (ℝ̃ = (℧ℜ̃(§, ⋎), Ωℜ̃(§, ⋎))
Output:The set of decomposed environment Kα, β
1Let us assume an IF environment .
2Define the granulation for the TMV and FMV i.e., (α, β).
3Now the decomposed the given environment Kα, β as follows:
4if {℧ℜ̃(§, ⋎)|μ℧ℜ̃(§,⋎)α}then represent 1.00 at the place of TMV,else 0.00 at the place of TMV.
5ifℜ̃(§, ⋎)|μΩℜ̃(§,⋎)β}then represent 0.00 at the place of FMV,else 1.00 at the place of FMV.
6The decomposed environment follows the equality:K = ∪α, βKα, β.
7The decomposed binary environment write for the user-defined granulation.
8Derive the knowledge from the decomposed environment Kα, β.
International Journal of Fuzzy Logic and Intelligent Systems 2024;24:360~377 https://doi.org/10.5391/IJFIS.2024.24.4.360
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