Universal Journal of Mathematics and Mathematical Sciences
Volume 6, Issue 1, Pages 65 - 73
(July 2014)
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ON NORMAL FUZZY s-IDEALS OF SEMINEARRINGS
Venu Gopala Rao Paruchuri and Syam Prasad Kuncham
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Abstract: We consider the notion seminearring which is a generalization of both the concepts of a semiring and a nearring. The normal fuzzy s-ideal of a seminearring with absorbing zero has been introduced which is analogue as that defined for rings and semirings. We prove a necessary and sufficient condition for a fuzzy s-ideal of a seminearring to be normal and obtain some related results. We also prove relating results of fuzzy relation on seminearrings and its normal fuzzy s-ideals, s-k-ideals. |
Keywords and phrases: seminearring, s-ideal, s-k-ideal, normal, fuzzy relations. |
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