SOFT IDEALS AND GENERALIZED FUZZY IDEALS IN SEMIGROUPS

Muhammad Shabir () and Muhammad Irfan Ali ()
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Muhammad Shabir: Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan
Muhammad Irfan Ali: Department of Mathematics, Quaid-i-Azam University Islamabad, Pakistan

New Mathematics and Natural Computation (NMNC), 2009, vol. 05, issue 03, 599-615

Abstract: A soft semigroup over a semigroup is a collection of subsemigroups. Similarly, a soft ideal over a semigroup is a collection of ideals of the semigroup. As a natural consequence, the idea of soft ideals of a soft semigroup originates. Soft ideals over a semigroup with a fixed set of parameters form a distributive lattice. Soft sets are a very handy tool. Soft ideals over a semigroup characterize generalized fuzzy ideals and fuzzy ideals with thresholds ofS.

Keywords: Soft sets; soft semigroups; soft ideals; fuzzy ideals; (α; β)-fuzzy ideals (search for similar items in EconPapers)
Date: 2009
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Citations: View citations in EconPapers (5)

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DOI: 10.1142/S1793005709001544

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