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Compact and bounded sets in intuitionistic fuzzy metric spaces

Efe H., Alaca C.

Demonstratio Mathematica

2007

Vol. 40, nr 2

449-456

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.

Compatible maps and compatible maps of types (alpha) and (beta) in instutionstic fuzzy metric spaces

Turkoglu D., Alaca C., Yildiz C.

Demonstratio Mathematica

2006

Vol. 39, nr 3

671-684

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).