SOFT IDEALS AND GENERALIZED FUZZY IDEALS IN SEMIGROUPS

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 of S.

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Year of publication:	2009
Authors:	SHABIR, MUHAMMAD ; ALI, MUHAMMAD IRFAN
Published in:	New Mathematics and Natural Computation (NMNC). - World Scientific Publishing Co. Pte. Ltd., ISSN 1793-7027. - Vol. 05.2009, 03, p. 599-615
Publisher:	World Scientific Publishing Co. Pte. Ltd.
Subject:	Soft sets \| soft semigroups \| soft ideals \| fuzzy ideals \| (α \| β)-fuzzy ideals

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Extent:	application/pdf text/html
Type of publication:	Article
Source:	RePEc - Research Papers in Economics

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