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Novel decision-making algorithms based on intuitionistic fuzzy rough environment

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Abstract

Intuitionistic fuzzy sets and rough sets are two different mathematical models to deal the problem of how to understand and manipulate imperfect knowledge. An intuitionistic fuzzy rough framework is made by combining these two models, which is a more flexible and expressive for modeling and processing incomplete information in information systems. In this research study, we introduce intuitionistic fuzzy rough graphs, and describe certain types of intuitionistic fuzzy rough graphs with several examples. We present applications of intuitionistic fuzzy rough graphs in decision-making problems. We develop efficient algorithms to solve decision-making problems and compute time complexity of each algorithm.

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Acknowledgements

The authors are very thankful to the Editor and referees for their valuable comments and suggestions for improving the paper. This research is partially supported by a grant of National Natural Science Foundation of China (11461025).

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Authors and Affiliations

  1. Department of Mathematics, Hubei University for Nationalities, Enshi, 445000, People’s Republic of China

    Jianming Zhan

  2. Department of Mathematics, University of the Punjab, New Campus, Lahore, Pakistan

    Hafsa Masood Malik & Muhammad Akram

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  1. Jianming Zhan
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  2. Hafsa Masood Malik
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  3. Muhammad Akram
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Correspondence to Muhammad Akram.

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Zhan, J., Masood Malik, H. & Akram, M. Novel decision-making algorithms based on intuitionistic fuzzy rough environment. Int. J. Mach. Learn. & Cyber. 10, 1459–1485 (2019). https://doi.org/10.1007/s13042-018-0827-4

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