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Application of Operational Approaches to Solving Decision Making Problem Using Z-Numbers

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DOI: 10.4236/am.2014.59125    2,109 Downloads   3,313 Views   Citations

ABSTRACT

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.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

Gardashova, L. (2014) Application of Operational Approaches to Solving Decision Making Problem Using Z-Numbers. Applied Mathematics, 5, 1323-1334. doi: 10.4236/am.2014.59125.

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