JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (3): 96-110.doi: 10.6040/j.issn.1671-9352.4.2020.261

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Dominance relationship and reduction of Pythagorean fuzzy systems

ZHANG Jiao-jiao1, ZHANG Shao-pu1*, FENG Tao2   

  1. 1. Department of Mathematics and Physics, Shijiazhuang Tiedao University, Shijiazhuang 050043, Hebei, China;
    2. School of Sciences, Hebei University of Science and Technology, Shijiazhuang 050018, Hebei, China
  • Published:2021-03-16

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Abstract: First, two new dominant relationships are defined, and according to the definition of the overall assessment and the special requirements of individual attributes, Pythagorean fuzzy additive operator is used to aggregate the individual attribute values of each object into an overall evaluation, and two generalized dominant rough set models are obtained. Using these two models, the attribute reduction problem of dominant Pythagorean fuzzy systems is studied. Secondly, the parameter β∈［0,1］ is introduced, the β dominant relationship is defined, the generalized β dominant rough set model is obtained, and the above attribute reduction problem is further studied. Finally, an example is used to illustrate practicability and effectiveness of the proposed method.

Key words: dominance relationship, generalized dominance rough set, attribute reduction, dominance Pythagorean system, generalized β dominance rough set

CLC Number: 

  • O236
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