A novel approach to interval-valued intuitionistic fuzzy soft set based decision making |
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| Authors: | Zhiming Zhang Chao Wang Dazeng Tian Kai Li |
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| Affiliation: | 1. College of Mathematics and Computer Science, Hebei University, Baoding, 071002 Hebei Province, PR China;2. School of Economics and Management, Hebei University of Engineering, Handan, 056038 Hebei Province, PR China;3. College of Physics Sciences of Technology, Hebei University, Baoding, 071002 Hebei Province, PR China |
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| Abstract: | The soft set theory, originally proposed by Molodtsov, can be used as a general mathematical tool for dealing with uncertainty. The interval-valued intuitionistic fuzzy soft set is a combination of an interval-valued intuitionistic fuzzy set and a soft set. The aim of this paper is to investigate the decision making based on interval-valued intuitionistic fuzzy soft sets. By means of level soft sets, we develop an adjustable approach to interval-valued intuitionistic fuzzy soft sets based decision making and some numerical examples are provided to illustrate the developed approach. Furthermore, we also define the concept of the weighted interval-valued intuitionistic fuzzy soft set and apply it to decision making. |
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| Keywords: | Soft sets Interval-valued intuitionistic fuzzy sets Interval-valued intuitionistic fuzzy soft sets Level soft sets Decision making |
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