The purpose of this paper is to define q-bounded, semi-bounded, totally bounded, and unbounded sets in an intuitionistic fuzzy metric space X and study the relation between F-bounded sets and the above mentioned sets and prove that the statements (a) X is compact (b) X is sequentially compact and (c) X is complete and totally bounded are all equivalent in an intuitionistic fuzzy metric space X.
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In this paper, we first formulate the definition of compatible maps and compatible maps of types (alpha) and (beta) in intuitionistic fuzzy metric spaces and give some relations between the concepts of compatible maps and compatible maps of types (alpha) and (beta).
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