In this paper we introduce and study the following new concepts: neutrosophic generalized \alpha-contra-continuous function, neutrosophic strongly generalized \alpha-contra-continuous function, neutrosophic generalized \alpha-contra-irresolute. Their interrelations are also established with illustrative examples.
In this paper, we introduce the concepts of fuzzy rare α continuous,fuzzy rarely continuous, fuzzy rarely pre-continuous, fuzzy rarely semi-continuous are introduced and studied in light of the concept of rare set in a fuzzy setting. Some interesting properties are investigated besides giving some examples.
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