Fuzzy multi-criteria decision making method based on fuzzy structured element with incomplete weight information

Document Type : Research Paper


1 School of Science, Hunan University of Technology, Zhuzhou, Hunan, 412007, China

2 School of Business, Central South University, Changsha, Hunan, 410083, China


The fuzzy structured element (FSE) theory is a very useful tool
for dealing with fuzzy multi-criteria decision making (MCDM)
problems by transforming the criterion value vectors of each
alternative into the corresponding criterion function vectors. In
this paper, some concepts related to function vectors are first
defined, such as the inner product of two function vectors, the
cosine of the included angle between two function vectors and the
projection of a function vector on another. Then a method based on
FSE is developed to solve fuzzy MCDM problems in which the
criterion values take the form of general bounded closed fuzzy
numbers and the criterion weight information is incomplete
certain. In this method, the projections of criterion function
vectors on the fuzzy ideal function point (FIFP) are used to rank
all the alternatives and then select the most desirable one, and
an optimization model is constructed to determine the weights of
criteria according to the incomplete weight information. Finally,
an example is given to illustrate the feasibility and
effectiveness of the developed method.


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