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The purpose of this paper is to give a foundation for providing a new soft algebraic tool in considering many problems containing uncertainties. In order to provide these new soft algebraic structures, we discuss a new soft set-( M, N )-soft intersection set, which is a generalization of soft intersection sets. We introduce the concepts of ( M, N )-SI filters of BL-algebras and establish some characterizations. Especially, ( M, N )-soft congruences in BL-algebras are concerned.

the scientific world journal/thescientificworldjournal

<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mo stretchy="false">(</mml:mo><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>-Soft Intersection BL-Algebras and Their Congruences

(M,N)-Soft Intersection BL-Algebras and Their Congruences