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A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets

Author

Listed:
  • Nagarajan, D.
  • Lathamaheswari, M.
  • Broumi, Said
  • Kavikumar, J.

Abstract

Controlling traffic flow on roads is an important traffic management task necessary to ensure a peaceful and safe environment for people. The number of cars on roads at any given time is always unknown. Type-2 fuzzy sets and neutrosophic sets play a vital role in dealing efficiently with such uncertainty. In this paper, a triangular interval type-2 Schweizer and Sklar weighted arithmetic (TIT2SSWA) operator and a triangular interval type-2 Schweizer and Sklar weighted geometric (TIT2SSWG) operator based on Schweizer and Sklar triangular norms have been studied, and the validity of these operators has been checked using a numerical example and extended to an interval neutrosophic environment by proposing interval neutrosophic Schweizer and Sklar weighted arithmetic (INSSWA) and interval neutrosophic Schweizer and Sklar weighted geometric (INSSWG) operators. Furthermore, their properties have been examined; some of the more important properties are examined in detail. Moreover, we proposed an improved score function for interval neutrosophic numbers (INNs) to control traffic flow that has been analyzed by identifying the junction that has more vehicles. This improved score function uses score values of triangular interval type-2 fuzzy numbers (TIT2FNs) and interval neutrosophic numbers.

Suggested Citation

  • Nagarajan, D. & Lathamaheswari, M. & Broumi, Said & Kavikumar, J., 2019. "A new perspective on traffic control management using triangular interval type-2 fuzzy sets and interval neutrosophic sets," Operations Research Perspectives, Elsevier, vol. 6(C).
    • Handle: RePEc:eee:oprepe:v:6:y:2019:i:c:s2214716018302677
    DOI: 10.1016/j.orp.2019.100099
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    References listed on IDEAS

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    1. Peide Liu & Peng Wang, 2018. "Some interval-valued intuitionistic fuzzy Schweizer–Sklar power aggregation operators and their application to supplier selection," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(6), pages 1188-1211, April.
    2. Jindong Qin & Xinwang Liu, 2014. "Frank Aggregation Operators for Triangular Interval Type-2 Fuzzy Set and Its Application in Multiple Attribute Group Decision Making," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-24, September.
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    Cited by:

    1. Songtao Shao & Xiaohong Zhang, 2019. "Measures of Probabilistic Neutrosophic Hesitant Fuzzy Sets and the Application in Reducing Unnecessary Evaluation Processes," Mathematics, MDPI, vol. 7(7), pages 1-23, July.
    2. García-Cáceres, Rafael Guillermo, 2020. "Stochastic Multicriteria Acceptability Analysis – Matching (SMAA-M)," Operations Research Perspectives, Elsevier, vol. 7(C).
    3. Qaisar Khan & Jeonghwan Gwak & Muhammad Shahzad & Muhammad Kamran Alam, 2021. "A Novel Approached Based on T-Spherical Fuzzy Schweizer-Sklar Power Heronian Mean Operator for Evaluating Water Reuse Applications under Uncertainty," Sustainability, MDPI, vol. 13(13), pages 1-35, June.
    4. Vafadarnikjoo, Amin & Chalvatzis, Konstantinos & Botelho, Tiago & Bamford, David, 2023. "A stratified decision-making model for long-term planning: Application in flood risk management in Scotland," Omega, Elsevier, vol. 116(C).
    5. Görçün, Ömer Faruk, 2022. "A novel integrated MCDM framework based on Type-2 neutrosophic fuzzy sets (T2NN) for the selection of proper Second-Hand chemical tankers," Transportation Research Part E: Logistics and Transportation Review, Elsevier, vol. 163(C).

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