• GENERALIZATION OF (∈, ∈2q) −FUZZY SUB-NEAR-FIELDS AND IDEALS OF NEAR-FIELDS (GF-NF-IO-NF)

N V Nagendram*, E S Sudeeshna

Abstract


In this paper, We introduce the notion of (Î, Î Úqk) − fuzzy sub-near-field which is a generalization of (Î,Î Úq) −fuzzy sub-near-field. We have given examples which are (Î, Î Úqk) −fuzzy ideals but they are not (Î, Î Úq) −fuzzy ideals. We have also introduced the notions of (Î, Î Úqk) −fuzzy quasi-ideals and (Î, Î Úqk) −fuzzy bi-ideals of near-field. We have characterized (Î, Î Úqk) −fuzzy quasi-ideals and (Î, Î Úqk) −fuzzy bi-ideals of near-fields.


Keywords


Near field, Fuzzy sub-near-field, Fuzzy ideal, Fuzzy quasi-ideal, Fuzzy bi-ideal (,  q)−fuzzy sub-near-field, (,  q)−fuzzy ideal, (,  q)−fuzzy quasi-ideal, (,  q)−fuzzy bi-ideal, (,  qk)−fuzzy sub-near-field, (,  qk)−fuzzy ideal, (,  

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