IDEAS home Printed from https://ideas.repec.org/a/spr/ijsaem/v13y2022i6d10.1007_s13198-022-01771-6.html
   My bibliography  Save this article

An approach to solve interval valued intuitionistic fuzzy transportation problem of Type-2

Author

Listed:
  • Ashutosh Choudhary

    (Indian Institute of Technology)

  • Shiv Prasad Yadav

    (Indian Institute of Technology)

Abstract

In the transportation problem, transportation cost depends on several uncontrollable factors such as fluctuation in the fuel price, weather condition, road condition, etc. In most cases, exact information is utilized, but in the real world applications these quantities are imprecise and unconfirmed. Most researchers studied transportation problem with fuzzy and intuitionistic fuzzy parameters. But, both fuzzy and intuitionistic fuzzy parameters utilize fixed membership and non-membership degrees which do not deal properly with the situation of uncertainty and hesitation. Thus, we are faced with another type of ambiguity that cannot be handled by using fuzzy or intuitionistic fuzzy set. In the current work, we have designed a transportation problem in which supplies and demands are crisp numbers and costs are interval valued intuitionistic fuzzy numbers. This type of problem is termed as interval valued intuitionistic fuzzy transportation problem of Type-2. Hence, to deal with ambiguity and uncertainty in transportation problem, an algorithm is developed to find out the optimal solution of interval valued intuitionistic fuzzy transportation problem of Type-2. Finally the proposed algorithm is illustrated with the help of a numerical example and the results are compared with the existing methods.

Suggested Citation

  • Ashutosh Choudhary & Shiv Prasad Yadav, 2022. "An approach to solve interval valued intuitionistic fuzzy transportation problem of Type-2," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(6), pages 2992-3001, December.
    • Handle: RePEc:spr:ijsaem:v:13:y:2022:i:6:d:10.1007_s13198-022-01771-6
    DOI: 10.1007/s13198-022-01771-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s13198-022-01771-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.
    File URL: https://libkey.io/10.1007/s13198-022-01771-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Sujeet Kumar Singh & Shiv Prasad Yadav, 2016. "A new approach for solving intuitionistic fuzzy transportation problem of type-2," Annals of Operations Research, Springer, vol. 243(1), pages 349-363, August.
    2. P. Senthil Kumar, 2020. "Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem," International Journal of Operational Research, Inderscience Enterprises Ltd, vol. 37(3), pages 418-451.
    3. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(1), pages 189-222, February.
    4. S. K. Bharati & S. R. Singh, 2020. "Interval-Valued Intuitionistic Fuzzy Linear Programming Problem," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 53-71, March.
    5. Ali Ebrahimnejad & Jose Luis Verdegay, 2018. "A new approach for solving fully intuitionistic fuzzy transportation problems," Fuzzy Optimization and Decision Making, Springer, vol. 17(4), pages 447-474, December.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Ritu Arora & Chandra K. Jaggi, 2023. "An aspect of bilevel interval linear fractional transportation problem with disparate flows: a fuzzy programming approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(6), pages 2276-2288, December.
    2. Anshika Agrawal & Neha Singhal, 2024. "An efficient computational approach for basic feasible solution of fuzzy transportation problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(7), pages 3337-3349, July.
    3. P. Senthil Kumar, 2024. "An efficient approach for solving type-2 intuitionistic fuzzy solid transportation problems with their equivalent crisp solid transportation problems," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4370-4403, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. P. Senthil Kumar, 2020. "Developing a New Approach to Solve Solid Assignment Problems Under Intuitionistic Fuzzy Environment," International Journal of Fuzzy System Applications (IJFSA), IGI Global, vol. 9(1), pages 1-34, January.
    2. Abdelmalek Ouannou & Adil Brouri & Laila Kadi & Hafid Oubouaddi, 2022. "Identification of switched reluctance machine using fuzzy model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 13(6), pages 2833-2846, December.
    3. P. Senthil Kumar, 2020. "Algorithms for solving the optimization problems using fuzzy and intuitionistic fuzzy set," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 11(1), pages 189-222, February.
    4. P. Senthil Kumar, 2019. "PSK Method for Solving Mixed and Type-4 Intuitionistic Fuzzy Solid Transportation Problems," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 10(2), pages 20-53, April.
    5. P. Senthil Kumar, 2018. "Linear Programming Approach for Solving Balanced and Unbalanced Intuitionistic Fuzzy Transportation Problems," International Journal of Operations Research and Information Systems (IJORIS), IGI Global, vol. 9(2), pages 73-100, April.
    6. Divya Sharma & Dinesh C. S. Bisht & Pankaj Kumar Srivastava, 2024. "Solution of fuzzy transportation problem based upon pentagonal and hexagonal fuzzy numbers," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(9), pages 4348-4354, September.
    7. P. Senthil Kumar, 2019. "Intuitionistic fuzzy solid assignment problems: a software-based approach," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 10(4), pages 661-675, August.
    8. Sukhpal & Kaushal Kumar, 2024. "Multi-trip multi-compartment vehicle routing problem with backhauls," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 15(5), pages 1717-1734, May.
    9. Saeedeh Bazari & Alireza Pooya & Omid Soleimani Fard & Pardis Roozkhosh, 2023. "Modeling and solving the problem of scheduling university exams in terms of new constraints on the conflicts of professors' exams and the concurrence of exams with common questions," OPSEARCH, Springer;Operational Research Society of India, vol. 60(2), pages 877-915, June.
    10. Sandesh Kurade & Raosaheb Latpate & Vinayak Gedam, 2025. "Multi-objective mixed mode sugarcane transportation model using fuzzy NSGA," OPSEARCH, Springer;Operational Research Society of India, vol. 62(1), pages 149-177, March.
    11. Sohaib Dastgoshade & Hassan Hosseini-Nasab & Yahia Zare Mehrjerdi, 2024. "Investigating of transportation systems development for urban districts, costs and social equity: a case of Sanandaj, Kurdistan," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 373-398, March.
    12. A. Dutta & A. K. Das, 2024. "Bounded homotopy path approach to the solution of linear complementarity problems," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 352-372, March.
    13. Ali Akbar Sohrabi & Reza Ghanbari & Khatere Ghorbani-Moghadam & Sedigheh Sadeghi, 2024. "A new fuzzy model for multi-criteria project portfolio selection based on modified Kerre’s inequality," OPSEARCH, Springer;Operational Research Society of India, vol. 61(1), pages 33-50, March.
    14. Raj Kumar Bera & Shyamal Kumar Mondal, 2023. "Analyzing the nature of a transportation problem before and during COVID-19 pandemic in multi-fuzzy environment," OPSEARCH, Springer;Operational Research Society of India, vol. 60(4), pages 1659-1702, December.
    15. Sumati Mahajan & S. K. Gupta, 2021. "On fully intuitionistic fuzzy multiobjective transportation problems using different membership functions," Annals of Operations Research, Springer, vol. 296(1), pages 211-241, January.
    16. Namrata Rani & Vandana Goyal & Deepak Gupta, 2021. "A solution procedure for multi-objective fully quadratic fractional optimization model," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 12(6), pages 1447-1458, December.
    17. Bogdana Stanojević & Milan Stanojević & Sorin Nădăban, 2021. "Reinstatement of the Extension Principle in Approaching Mathematical Programming with Fuzzy Numbers," Mathematics, MDPI, vol. 9(11), pages 1-16, June.
    18. Li Cheng & Liu Conglin, 2023. "Game analysis and pricing strategy of duopoly airlines based on service," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(3), pages 1103-1124, June.
    19. Chaube, Shshank & Joshi, Dheeraj Kumar & Ujarari, Chandan Singh, 2023. "Hesitant Bifuzzy Set (an introduction): A new approach to assess the reliability of the systems," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 205(C), pages 98-107.
    20. Manisha Malik & S. K. Gupta, 2025. "On optimistic, pessimistic and mixed fuzzy-programming based approaches to solve multi-objective fully intuitionistic fuzzy linear fractional programming problems," Annals of Operations Research, Springer, vol. 346(2), pages 1399-1443, March.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:ijsaem:v:13:y:2022:i:6:d:10.1007_s13198-022-01771-6. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.