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Iranian Journal of Fuzzy Systems، جلد ۱۵، شماره ۱، صفحات ۲۵-۵۴
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عنوان انگلیسی SHAPLEY FUNCTION BASED INTERVAL-VALUED INTUITIONISTIC FUZZY VIKOR TECHNIQUE FOR CORRELATIVE MULTI-CRITERIA DECISION MAKING PROBLEMS
چکیده انگلیسی مقاله Interval-valued intuitionistic fuzzy set (IVIFS) has developed to cope with the uncertainty of imprecise human thinking. In the present communication, new entropy and similarity measures for IVIFSs based on exponential function are presented and compared with the existing measures. Numerical results reveal that the proposed information measures attain the higher association with the existing measures, which demonstrate their efficiency and reliability. To deal with the interactive characteristics among the elements in a set, Shapley weighted similarity measure based on proposed similarity measure for IVIFSs is discussed via Shapley function. Thereafter, the linear programming model for optimal fuzzy measure is originated for incomplete information about the weights of the criteria and thus, the optimal weight vector is obtained in terms of Shapley values. Further, the VIKOR technique is discussed for correlative multi-criteria decision making problems under interval-valued intuitionistic fuzzy environment. Finally, an example of investment problem is presented to exemplify the application of the proposed technique under incomplete and uncertain information situation.
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نویسندگان مقاله pratibha rani |
department of mathematics, jaypee university of engineering and technology, guna-473226, m. p., india

divya jain |
department of mathematics, jaypee university of engineering and technology, guna-473226, m. p., india

d s hooda | d s
guru jambheshwar university of science and technology, hisar-125001, haryana, india

نشانی اینترنتی http://ijfs.usb.ac.ir/article_3577_817d9d009ab46e0e1945d00b0cbbdef8.pdf
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