Maximal,irreducibleandprimesoftidealsof BCK/BCI-algebra

Maximal,irreducibleandprimesoftidealsof BCK/BCI-algebra

Inthispaper,thenotionsofsoftirreducible,primeandmaximalsoftideals,irreducible,primeandmaximalsoftidealisticoveronBCK/BCI-algebrasareintroduced,andseveralexamplesaregiventoillus-trate.Relationsbetweenirreducible,primeandmaximalidealisticsoftBCK/BCI-algebrasareinvestigated.

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  • [1]H.Aktas,N.Çaˇgman,Softsetsandsoftgroups,InformationScience,177(2007),2726-2735.
  • [2]M.A.Chaudhry,WeaklypositiveimplicativeandweaklyimplicativeBCI-algebras,Math. Jpn.35(1990)141-151.
  • [3]F.Feng,Y.B.Jun,X.Zhao,Softsemirings,Comput.Math.App.56(2008),2621-2628.
  • [4]Y.Huang,IrreducibleidealsinBCI-algebras,Demons.Math.VolXXXVIINo12004.
  • [5]K.Is´ e ki,S.Tanaka,AnintroductiontothetheoryofBCK-algebras,Math.Jpn.23(1978) 1-26.
  • [6]Y.B.Jun,SoftBCK/BCI-algebra,Comput.Math.App.56(2008),1408-1413.
  • [7]Y.B.Jun,C.H.Park,ApplicationofSoftsetsinidealtheoryofBCK-algebra,Information Sciences,178(2008),2466-2475.
  • [8]J.Meng,Y.B.Jun,BCK-algebras,KyungmoonSaCo.,Seoul,1994.
  • [9]P.K.Maji,R.Biswas,A.R.Roy,Softsettheory,Comput.Math.App.45(2003),555-562.
  • [10]D.Molodtsov,Softsettheory-firstresult,Comput.Math.App.37(1999),19-31.
  • [11]L.A.Zadeh,Fuzzysets,InformControl,8(1965),338-353.