TITLE:
Application of Operational Approaches to Solving Decision Making Problem Using Z-Numbers
AUTHORS:
Latafat A. Gardashova
KEYWORDS:
Z-Number, Decision Making, Fuzzy Set, Z-Number Based Expected Utility, Fuzzy Probability, A Priority Weight, Alternatives
JOURNAL NAME:
Applied Mathematics,
Vol.5 No.9,
May
22,
2014
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.