Linguistic Z-number fuzzy soft sets and its application on multiple attribute group decision making problems |
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| Authors: | Zhifu Tao Xi Liu Huayou Chen Jinpei Liu Fei Guan |
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| Affiliation: | 1. School of Economics, Anhui University, Hefei, China;2. School of Mathematics and Statistics, Hefei Normal University, Hefei, China;3. School of Mathematical Sciences, Anhui University, Hefei, China;4. School of Business, Anhui University, Hefei, China;5. College of Mathematics & Statistics, Hebei University of Economics and Business, Shijiazhuang, China |
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| Abstract: | In this study, the concept of linguistic Z-number fuzzy soft set () is proposed to describe multiple uncertainties in practical decision making problems. combines the concepts of fuzzy soft set, linguistic Z-number, and soft set, which could reflect both of the uncertainty in structure and the uncertainty in detailed evaluations. As an initial idea, the set operations on are put forward, the properties of such operations are also discussed. With traditional soft set based decision procedure and fuzzy soft set based decision procedure, a novel linguistic Z-number fuzzy soft set based group decision procedure is developed to solve multiattribute group decision making with linguistic Z-numbers. Wherein an extended technique for order preference by similarity to ideal solution is also developed. Finally, a numerical example is shown to illustrate the practicality and effectiveness of the given method. |
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| Keywords: | linguistic Z-number linguistic Z-number fuzzy soft set multiattribute group decision making soft set TOPSIS |
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