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Picture fuzzy cross-entropy for multiple attribute decision making problems

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  • Guiwu Wei

Abstract

In this paper, we investigate the multiple attribute decision making problems with picture fuzzy information. The advantage of picture fuzzy set is easily reflecting the ambiguous nature of subjective judgments because the picture fuzzy sets are suitable for capturing imprecise, uncertain, and inconsistent information in the multiple attribute decision making analysis. Thus, the cross entropy of picture fuzzy sets, called picture fuzzy cross entropy, is proposed as an extension of the cross entropy of fuzzy sets. Then, a multiple attribute decision making method based on the proposed picture fuzzy cross entropy is established in which attribute values for alternatives are picture fuzzy numbers. In decision making process, we utilize the picture fuzzy weighted cross entropy between the ideal alternative and an alternative to rank the alternatives corresponding to the cross entropy values and to select the most desirable one(s). Finally, a practical example for enterprise resource planning system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Suggested Citation

  • Guiwu Wei, 2016. "Picture fuzzy cross-entropy for multiple attribute decision making problems," Journal of Business Economics and Management, Taylor & Francis Journals, vol. 17(4), pages 491-502, July.
    • Handle: RePEc:taf:jbemgt:v:17:y:2016:i:4:p:491-502
    DOI: 10.3846/16111699.2016.1197147
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    Cited by:

    1. Arshad Ahmad Khan & Muhammad Qiyas & Saleem Abdullah & Jianchao Luo & Mahwish Bano, 2019. "Analysis of Robot Selection Based on 2-Tuple Picture Fuzzy Linguistic Aggregation Operators," Mathematics, MDPI, vol. 7(10), pages 1-19, October.
    2. Muhammad Jabir Khan & Poom Kumam & Peide Liu & Wiyada Kumam & Shahzaib Ashraf, 2019. "A Novel Approach to Generalized Intuitionistic Fuzzy Soft Sets and Its Application in Decision Support System," Mathematics, MDPI, vol. 7(8), pages 1-21, August.
    3. Vladimir Simić & Radovan Soušek & Stefan Jovčić, 2020. "Picture Fuzzy MCDM Approach for Risk Assessment of Railway Infrastructure," Mathematics, MDPI, vol. 8(12), pages 1-29, December.
    4. Gia Sirbiladze, 2021. "Associated Probabilities in Interactive MADM under Discrimination q-Rung Picture Linguistic Environment," Mathematics, MDPI, vol. 9(18), pages 1-36, September.
    5. Shougi S. Abosuliman & Saleem Abdullah & Muhammad Qiyas, 2020. "Three-Way Decisions Making Using Covering Based Fractional Orthotriple Fuzzy Rough Set Model," Mathematics, MDPI, vol. 8(7), pages 1-31, July.
    6. Sanjib Biswas & Dragan Pamucar, 2023. "A modified EDAS model for comparison of mobile wallet service providers in India," Financial Innovation, Springer;Southwestern University of Finance and Economics, vol. 9(1), pages 1-31, December.
    7. M Sarwar Sindhu & Tabasam Rashid & Agha Kashif, 2019. "Modeling of linear programming and extended TOPSIS in decision making problem under the framework of picture fuzzy sets," PLOS ONE, Public Library of Science, vol. 14(8), pages 1-13, August.
    8. Jiahuan He & Xindi Wang & Runtong Zhang & Li Li, 2019. "Some q -Rung Picture Fuzzy Dombi Hamy Mean Operators with Their Application to Project Assessment," Mathematics, MDPI, vol. 7(5), pages 1-28, May.
    9. Shio Gai Quek & Ganeshsree Selvachandran & Florentin Smarandache & J. Vimala & Son Hoang Le & Quang-Thinh Bui & Vassilis C. Gerogiannis, 2020. "Entropy Measures for Plithogenic Sets and Applications in Multi-Attribute Decision Making," Mathematics, MDPI, vol. 8(6), pages 1-17, June.
    10. Siqi Zhang & Hui Gao & Guiwu Wei & Yu Wei & Cun Wei, 2019. "Evaluation Based on Distance from Average Solution Method for Multiple Criteria Group Decision Making under Picture 2-Tuple Linguistic Environment," Mathematics, MDPI, vol. 7(3), pages 1-14, March.
    11. Chady Jabbour & Anis Hoayek & Jean-Michel Salles, 2022. "Formalizing a Two-Step Decision-Making Process in Land Use: Evidence from Controlling Forest Clearcutting Using Spatial Information," Land, MDPI, vol. 12(1), pages 1-17, December.
    12. Suizhi Luo & Lining Xing, 2019. "Picture Fuzzy Interaction Partitioned Heronian Aggregation Operators for Hotel Selection," Mathematics, MDPI, vol. 8(1), pages 1-23, December.
    13. Shahzaib Ashraf & Saleem Abdullah & Lazim Abdullah, 2019. "Child Development Influence Environmental Factors Determined Using Spherical Fuzzy Distance Measures," Mathematics, MDPI, vol. 7(8), pages 1-24, July.
    14. Meiling Liu & Shouzhen Zeng & Tomas Baležentis & Dalia Streimikiene, 2019. "Picture Fuzzy Weighted Distance Measures and their Application to Investment Selection," The AMFITEATRU ECONOMIC journal, Academy of Economic Studies - Bucharest, Romania, vol. 21(52), pages 682-682, August.
    15. Saifullah Khan & Saleem Abdullah & Lazim Abdullah & Shahzaib Ashraf, 2019. "Logarithmic Aggregation Operators of Picture Fuzzy Numbers for Multi-Attribute Decision Making Problems," Mathematics, MDPI, vol. 7(7), pages 1-19, July.

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