We consider the semigroup <mml:math alttext="$\underline{S}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:munder accentunder="true"><mml:mi>S</mml:mi><mml:mo>&#175;</mml:mo></mml:munder></mml:math> of the fuzzy points of a semigroup <mml:math alttext="$S$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>, and discuss the relation between the fuzzy interior ideals and the subsets of <mml:math alttext="$\underline{S}$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:munder accentunder="true"><mml:mi>S</mml:mi><mml:mo>&#175;</mml:mo></mml:munder></mml:math> in an (intra-regular) semigroup <mml:math alttext="$S$" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>S</mml:mi></mml:math>.

International Journal of Mathematics and Mathematical Sciences

On fuzzy points in semigroups

Abstract

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