Title :
Application of Z-numbers in multi-criteria decision making
Author_Institution :
Sch. of Mech. Eng. & Autom., Wuhan Univ. of Sci. & Eng.(WUSE), Wuhan, China
Abstract :
The Z-number contains both uncertain variable and its reliability, and it has stronger potential in applications in the fields of decision making, risk assessment etc. In this paper, a method of multi-criteria fuzzy decision making with Z-numbers is proposed, where the evaluation of each alternative with respect to each criterion is described as a Z-number, including both the evaluation and its reliability from evaluators. The reliability towards the evaluation is here regarded as the uncertain region of the fuzzy number of evaluation. Then the Z-number is converted to the interval-valued fuzzy set with footprint of uncertainty (FOU). By computing the centroid of the interval-valued fuzzy set with K-M algorithm, the Z-numbers in the decision making matrix are converted to the crisp numbers for decision making. A numerical example is given to illustrate the procedure and effectiveness of the method.
Keywords :
decision making; fuzzy set theory; operations research; K-M algorithm; Z-numbers; interval-valued fuzzy set; multicriteria fuzzy decision making matrix; risk assessment; Decision making; Fuzzy sets; Matrix converters; Natural languages; Pragmatics; Reliability; Uncertainty; Z-number; footprint of uncertainty; fuzzy number; interval-valued fuzzy set; multi-criteria decision making;
Conference_Titel :
Informative and Cybernetics for Computational Social Systems (ICCSS), 2014 International Conference on
Conference_Location :
Qingdao
Print_ISBN :
978-1-4799-4753-9
DOI :
10.1109/ICCSS.2014.6961822