Abstract
We define direct product of ∈,∈∨qk-intuitionistic fuzzy sets and direct product of ∈,∈∨qk-intuitionistic fuzzy soft sets of subtraction algebras and investigate some related properties.
Highlights
The system (X;◦, ) by Schein (1992), is a set of functions closed under the composition “◦” under the composition of function(and (X, ◦) is a function semigroup) and the set theoretical subtraction “∖” (and (X, ) is a subtraction algebra in the sense of Abbot (1969))
He proved that every subtraction semigroup is isomorphic to a difference semigroup of invertible functions
Schein concerning the structure of multiplication in a subtraction semigroup. He solved the problem for subtraction algebras of a special type called the atomic subtraction algebras
Summary
The system (X;◦, ) by Schein (1992), is a set of functions closed under the composition “◦” under the composition of function(and (X, ◦) is a function semigroup) and the set theoretical subtraction “∖” (and (X, ) is a subtraction algebra in the sense of Abbot (1969)). He proved that every subtraction semigroup is isomorphic to a difference semigroup of invertible functions. The fuzzifications of ideals in subtraction algebras were discussed in Lee and Park (2007)
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