Abstract

In 1965, Zadeh introduced the concept of fuzzy subset. Since that time many papers were introduced in different mathematical scopes of theoretical and practical applications. In 1982, Liuformulated the term of fuzzy ring and fuzzy ideal of a ring R. In 2004, Hadi and Abou-Draeb, introduced and studied P-F fuzzy rings and normal fuzzy rings and now we are complete it. In this chapter, the concepts P-F fuzzy rings and normal fuzzy rings have been investigated. Several basic results related to these concepts have given and studied. The relationship between them has also been given. Moreover, some properties of t-pure fuzzy ideal of a fuzzy ring have been given which need it later.

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