Interval Data Aggregation Technology for Large Scale Decision Making

In this paper, an improved multiple attribute decision making (MADM) method based on the proposed novel score function and accuracy function of interval-valued intuitionistic fuzzy numbers (IVIFNs) is proposed to aggregate large-scale data. The attribute values in the decision matrices provided by each decision-maker (DM), which are characterized by interval numbers. First, a transformation matrix is introduced to define the concepts of satisfactory set, un- satisfactory set and uncertainty set of alternatives. An approach is then developed for aggregating attribute values into IVIFNs, and we will obtain the collective evaluation of each alternative. Next, using the interval-valued intuitionistic fuzzy weighted averaging operator, the collective attribute values characterized by IVIFNs are aggregated to get the overall evaluation of alternatives. The score function and accuracy function are applied to calculate the score degree and the rank of each alternative. Finally, a large-scale example is given to verify the validity of the reported method.

[1]  Shyi-Ming Chen,et al.  Multiple attribute decision making using Beta distribution of intervals, expected values of intervals, and new score function of interval-valued intuitionistic fuzzy values , 2021, Inf. Sci..

[2]  Shyi-Ming Chen,et al.  Multiattribute decision making based on interval-valued intuitionistic fuzzy values, score function of connection numbers, and the set pair analysis theory , 2021, Inf. Sci..

[3]  Shyi-Ming Chen,et al.  An improved multiattribute decision making method based on new score function of interval-valued intuitionistic fuzzy values and linear programming methodology , 2017, Inf. Sci..

[4]  Shady Aly,et al.  Fuzzy aggregation and averaging for group decision making: A generalization and survey , 2009, Knowl. Based Syst..

[5]  Sun Tao,et al.  Interval-valued intuitionistic fuzzy multiple attribute decision-making method based on revised fuzzy entropy and new scoring function , 2016 .

[6]  Jun Ye,et al.  Multicriteria fuzzy decision-making method based on a novel accuracy function under interval-valued intuitionistic fuzzy environment , 2009, Expert Syst. Appl..

[7]  Zhongliang Yue,et al.  A group decision making approach based on aggregating interval data into interval-valued intuitionistic fuzzy information , 2014 .

[8]  Hans-Hermann Bock,et al.  Analysis of Symbolic Data , 2000 .

[9]  K. Atanassov,et al.  Interval-Valued Intuitionistic Fuzzy Sets , 2019, Studies in Fuzziness and Soft Computing.

[10]  Zhongliang Yue,et al.  An approach to aggregating interval numbers into interval-valued intuitionistic fuzzy information for group decision making , 2011, Expert Syst. Appl..

[11]  Guodong Ye,et al.  An Approach for Multiple Attribute Group Decision Making Based on Intuitionistic Fuzzy Information , 2009, Int. J. Uncertain. Fuzziness Knowl. Based Syst..

[12]  Zhou-Jing Wang,et al.  An approach to multiattribute decision making with interval-valued intuitionistic fuzzy assessments and incomplete weights , 2009, Inf. Sci..

[13]  Krassimir T. Atanassov,et al.  Intuitionistic fuzzy sets , 1986 .

[14]  Omar López-Ortega,et al.  An agent-oriented decision support system combining fuzzy clustering and the AHP , 2011, Expert Syst. Appl..

[15]  Jian Lin,et al.  Note on aggregating crisp values into intuitionistic fuzzy number , 2016 .

[16]  Shu-Ping Wan,et al.  Aggregating decision information into Atanassov's intuitionistic fuzzy numbers for heterogeneous multi-attribute group decision making , 2016, Appl. Soft Comput..

[17]  Yuying Jia,et al.  A method to aggregate crisp values into interval-valued intuitionistic fuzzy information for group decision making , 2013, Appl. Soft Comput..