Abstract
A novel weighted average index model of interval valued intuitionistic fuzzy sets (IVIFS) is presented in this paper. By analyzing the interval of membership degree, the interval of non-membership degree and the interval of hesitancy degree, we provide two weighted arithmetic average indexes and two geometric average indexes of IVIFS. And we prove some mathematical properties of these average indexes. Finally, a multiple attribute decision making example applied to outsourced software project risk assessment is given to demonstrate the application of these statistical indexes. The simulation results show that the evaluation methods on these average indexes are all effective.
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Acknowledgements
This paper is funded by the National Natural Science Foundation of China (No. 71271061), the “Twelfth Five-Years” Philosophy and Social Sciences Planning Project of Guangdong Province (No. GD12XGL14), the Science and Technology Innovation Project of Department of Education of Guangdong Province (No. 2013KJCX0072), “Twelfth Five-Years” Philosophy and Social Sciences Planning Project of Guangzhou (No. 14G41), the Natural Science Foundation of Guangdong Province (No. 2014A030313575), the Soft Science Project on Public Research and Capacity Building of Guangdong Province (No. 2015A070704051), the Business Intelligence Key Team of Guangdong University of Foreign Studies (No. TD1202), Student Science and Technology Innovation Cultivating Projects & Climbing Plan Special Key Funds in Guangdong Province (No. 308-GK151011), the Major Education Foundation of Guangdong University of Foreign Studies (No. GYJYZDA14002), the Higher Education Research Project of Guangdong University of Foreign Studies (No. 2016GDJYYJZD004), the National Students Innovation Training Program of China (No. 201511846058).
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Zhang, Zh. et al. (2016). A Novel Weighted Average Index Method of Interval Valued Intuitionistic Fuzzy Sets and Its Application to Outsourced Software Project Risk Assessment. In: Cao, BY., Wang, PZ., Liu, ZL., Zhong, YB. (eds) International Conference on Oriental Thinking and Fuzzy Logic. Advances in Intelligent Systems and Computing, vol 443. Springer, Cham. https://doi.org/10.1007/978-3-319-30874-6_26
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DOI: https://doi.org/10.1007/978-3-319-30874-6_26
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