Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment

  • Shahzaib AshrafEmail author
  • Tahir Mahmood
  • Saleem Abdullah
  • Qaisar Khan


The main objective of proposed work is to introduce a series of picture fuzzy weighted geometric aggregation operators by using t-norm and t-conorm. In this paper, we discussed generalized form of weighted geometric aggregation operator for picture fuzzy information. Further, the proposed geometric aggregation operators of picture fuzzy number are applied to multi-attribute group decision making problems. Also, we propose the TOPSIS method to aggregate the picture fuzzy information. To implement the proposed models, we provide some numerical applications of group decision making problems. Also compared with previous model, we conclude that the proposed technique is more effective and reliable.


Picture fuzzy sets Geometric aggregation operators Multi-criteria group decision-making 


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© Sociedade Brasileira de Matemática 2018

Authors and Affiliations

  1. 1.Department of MathematicsAbdul Wali Khan UniversityMardanPakistan
  2. 2.Department of Mathematics and StatisticsInternational Islamic UniversityIslamabadPakistan

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