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

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Abstract

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.

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Authors and Affiliations

  1. Department of Mathematics, Abdul Wali Khan University, Mardan, Pakistan

    Shahzaib Ashraf & Saleem Abdullah

  2. Department of Mathematics and Statistics, International Islamic University, Islamabad, Pakistan

    Tahir Mahmood & Qaisar Khan

Authors
  1. Shahzaib Ashraf
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  2. Tahir Mahmood
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  3. Saleem Abdullah
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  4. Qaisar Khan
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Correspondence to Shahzaib Ashraf.

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Ashraf, S., Mahmood, T., Abdullah, S. et al. Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment. Bull Braz Math Soc, New Series 50, 373–397 (2019). https://doi.org/10.1007/s00574-018-0103-y

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  • DOI: https://doi.org/10.1007/s00574-018-0103-y

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