Approaches to interval-valued intuitionistic hesitant fuzzy soft sets based decision making
نویسندگان
چکیده
The soft set theory is a newly mathematical tool to deal with uncertain problems. However, the classical soft sets are not appropriate to deal with imprecise and fuzzy parameters. In this paper, we introduce the average function and propose the interval-valued intuitionistic hesitant fuzzy soft sets (IVIHFSSs) which are a combination of the interval-valued intuitionistic hesitant fuzzy sets and soft sets. Then, the complement, AND, OR, union, intersection, restricted union, extended intersection, difference, necessity, possibility, power-λ, λ-multiply, average, and geometric operations are defined on the IVIHFSSs, and some basic properties are also discussed in detail. Finally, by means of level soft sets and aggregation operators, we presented two algorithms to IVIHFSSs based on decision making, and the practicality and effectiveness is proved by an illustrative example. 2010 AMS Classification: 03E72
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