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THE PROPERTIES OF ORDERED BILINEAR FORM SEMIGROUP IN TERM OF FUZZY QUASI-IDEALS
A bilinear form semigroup is a special semigroup. This semigroup is constructed by an adjoin ordered pair , for is a linear mapping from a vector space into itself and for is a linear mapping from a vector space into itself. In this case, the vector spaces have zero characteristics. An ordered bilinear form semigroup is a bilinear form semigroup includes a partial ordered ‘ ’ such that is a poset and for all with we have and . A fuzzy subset is a mapping from crisp set into a closed interval [0,1]. Let be an ordered semigroup and , we denote . An ordered semigroup is left simple if and only if , is right simple if and only if , for every . In this paper we characterize the ordered bilinear form semigroup in term of fuzzy quasy-ideals. One of these properties said that a level subset of a fuzzy subset of is a quasi- ideal if and only if is a fuzzy quasi-ideal of .
Proceeding of International Conference On Research, Implementation And Education Of Mathematics And Sciences 2014
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