The combination of
fuzzy logic tools and multi-criteria decision making has a great relevance in literature.
Compared with the classical fuzzy number, Z-number has more ability to describe
the human knowledge. It can describe both restraint and reliability. Prof. L. Zadeh
introduced the concept of Z-numbers to describe the uncertain information which
is a more generalized notion closely related to reliability. Use of
Z-information is more adequate and intuitively meaningful for formalizing
information of a decision making problem. In this paper, Z-number is applied to
solve multi-criteria decision making problem. In this paper, we consider two
approaches to decision making with Z-information. The first approach is based
on converting the Z-numbers to crisp number to determine the priority weight of
each alternative. The second approach is based on Expected utility theory by
using Z-numbers. To illustrate a validity of suggested approaches to decision
making with Z-information the numerical examples have been used.
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