JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (8): 68-76.doi: 10.6040/j.issn.1671-9352.0.2021.419

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Semantics of the soft set induced by intuitionistic fuzzy set and its three-way decision

GONG Zeng-tai, TA Guang-peng   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Online:2022-08-20 Published:2022-06-29

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Abstract: In this paper, by means of the shadowed set, this paper transforms intuitionistic fuzzy set into pessimistic shadowed set and optimistic shadowed set by using intuitionistic fuzzy parameters, and proposes pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set. The method of inducting soft set by intuitionistic fuzzy set is given, and the qualitative model of three-way decision with soft set is proposed by using three-way decision theory. Combined with pessimistic three-way decision and optimistic three-way decision of intuitionistic fuzzy set, a quantitative model of three-way decision with soft sets is given by using intuitionistic fuzzy parameters.

Key words: three-way decision, soft set, intuitionistic fuzzy set, shadowed set

CLC Number: 

  • O159
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