Fuzzy Soft Quasi-Ideals and Bi-Ideals Over a Right Ternary Near-Ring
نویسنده
چکیده
Right ternary near-rings (RTNR) are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parameterized family of subsets of a universal set. In this paper fuzzy soft Nsubgroups, quasi-ideals and bi-ideals over a right ternary near-ring N are defined. The substructures N-subgroups, quasi-ideals and bi-ideals of an RTNR are characterized in terms of fuzzy soft N-subgroups, quasi-ideals and bi-ideals. The homomorphic and the inverse homomorphic image of fuzzy soft bi-ideals are realized as fuzzy soft bi-ideals and also a fuzzy soft bi-ideal over a regular zero-symmetric RTNR is established as a fuzzy soft RTNR. Left regular zero-symmetric RTNR are characterized in terms of fuzzy soft completely semi-prime left N-subgroups. It is also proved that a fuzzy soft lateral Nsubgroup is a fuzzy soft N-subgroup in an intra-regular RTNR. KeywordsFuzzy soft set, fuzzy soft ideal, zero-symmetric RTNR, regular RTNR, intra-regular RTNR.
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