Hesitant Probabilistic Fuzzy Information Aggregation Using Einstein Operations
AbstractIn this paper, a hesitant probabilistic fuzzy multiple attribute group decision making is studied. First, some Einstein operations on hesitant probability fuzzy elements such as the Einstein sum, Einstein product, and Einstein scalar multiplication are presented and their properties are discussed. Then, several hesitant probabilistic fuzzy Einstein aggregation operators, including the hesitant probabilistic fuzzy Einstein weighted averaging operator and the hesitant probabilistic fuzzy Einstein weighted geometric operator and so on, are introduced. Moreover, some desirable properties and special cases are investigated. It is shown that some existing hesitant fuzzy aggregation operators and hesitant probabilistic fuzzy aggregation operators are special cases of the proposed operators. Further, based on the proposed operators, a new approach of hesitant probabilistic fuzzy multiple attribute decision making is developed. Finally, a practical example is provided to illustrate the developed approach. View Full-Text
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Park, J.H.; Park, Y.K.; Son, M.J. Hesitant Probabilistic Fuzzy Information Aggregation Using Einstein Operations. Information 2018, 9, 226.
Park JH, Park YK, Son MJ. Hesitant Probabilistic Fuzzy Information Aggregation Using Einstein Operations. Information. 2018; 9(9):226.Chicago/Turabian Style
Park, Jin H.; Park, Yu K.; Son, Mi J. 2018. "Hesitant Probabilistic Fuzzy Information Aggregation Using Einstein Operations." Information 9, no. 9: 226.
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