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Iranian Journal of Fuzzy Systems، جلد ۱۸، شماره ۴، صفحات ۱۸۵-۲۰۰
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عنوان انگلیسی Continuous probability-interval valued fuzzy preference relations and its application in group decision making
چکیده انگلیسی مقاله Probabilistic hesitant fuzzy set represents the occurrence probabilities of elements.The probabilistic hesitant fuzzy preference relations can more effectively express thehesitant preference information of decision makers.But in the existing research, all of them are based on discrete probability distribution.In order to give decision maker more evaluation space,continuous probability distribution is necessary to be considered.Therefore, in this paper, the continuous probability-interval valued fuzzy setis defined and its probability is represented by a probability density function.A method of converting probabilistic hesitant fuzzy set into continuous probability-interval valued fuzzy setis developed to transform discrete data into continuous data.Then, the continuous probability-interval valued fuzzy preference relations is presented.In order to consider the consistency of continuous probability-interval valued fuzzy preference relations, the multiplication consistent expected preference relations is proposed.The individual consistency index and group consensus index are also presented to determine the consistency level.And then, an algorithm is introduced for checking and improving the individual consistency level andgroup consensus level.Finally, a numerical example is shown to the effectiveness of proposed algorithm,the comparative analysis is given with the existing methods toshow the superiority of this algorithm.
کلیدواژه‌های انگلیسی مقاله Continuous probability-interval valued fuzzy set, continuous probability-interval valued fuzzy preference relations, consistency, Group decision making
نویسندگان مقاله H. L. Huang |
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, P.R. China

H. L. Huang |
School of Mathematics and Statistics, Minnan Normal University, Zhangzhou, Fujian 363000, P.R. China

نشانی اینترنتی https://ijfs.usb.ac.ir/article_6184_367f212dbce02618182b52e7321ffc50.pdf
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