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Molodtsov's soft set theory provides a general mathematical framework for dealing with uncertainty. The concepts of ( M ,  N )- SI  implicative (Boolean) filters of  BL -algebras are introduced. Some good examples are explored. The relationships between ( M ,  N )- SI  filters and ( M ,  N )- SI  implicative filters are discussed. Some properties of ( M ,  N )- SI  implicative (Boolean) filters are investigated. In particular, we show that ( M ,  N )- SI  implicative filters and ( M ,  N )- SI  Boolean filters are equivalent.

the scientific world journal/thescientificworldjournal

A New Extended Soft Intersection Set to<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mfenced separators="|"><mml:mrow><mml:mi>M</mml:mi><mml:mo>,</mml:mo><mml:mi>N</mml:mi></mml:mrow></mml:mfenced><mml:mtext>-</mml:mtext><mml:mi>S</mml:mi><mml:mi>I</mml:mi></mml:math>Implicative Fitters of<i>BL</i>-Algebras

A New Extended Soft Intersection Set toM,N-SIImplicative Fitters ofBL-Algebras