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Intuitionistic fuzzy soft sets. (English) Zbl 1004.03042
On the basis of the definition of intuitionistic fuzzy set (IFS; see Zbl 0631.03040, Zbl 0939.03057)) and soft set [see D. Molodtsov, “Soft set theory – first results”, Comput. Math. Appl. 37, 19-31 (1999; Zbl 0936.03049)] the concept of intuitionistic fuzzy soft set (IFSS) is introduced as follows: Let $U$ be an initial universe set and $E$ be a set of parameters. Let $P\left(U\right)$ denote the set of all IFSs on $U$. Let $A\subset E$. A pair $\left(F,A\right)$ is called an IFSS over $U$, where $F:A\to P\left(U\right)$. Some of the basic operations over the IFSSs are given and their properties are discussed and illustrated by suitable examples. An application of the IFSS in a decision making problem is described.
##### MSC:
 03E72 Fuzzy set theory 91B06 Decision theory