Skip to main content
SpringerLink
Log in

Optimal Solution Solved by Triangular Intuitionistic Fuzzy Transportation Problem

  • Conference paper
  • First Online:
Book cover Computing in Engineering and Technology

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 1025))

Abstract

In this research article, we used the triangular intuitionistic fuzzy numbers. Different types of real, fuzzy, and intuitionistic fuzzy numbers [IFN] are used in the place of supply, demand, and costs. The supply, demand, and costs are different types of real, fuzzy, and intuitionistic fuzzy numbers. We proposed new Pathade and Ghadle intuitionistic fuzzy transportation problem method [IFTPM] to find optimal solution. We used triangular intuitionistic fuzzy numbers to solve balanced transportation problem. The new IFTP method is very different and not found anywhere. It is easy to solve intuitionistic fuzzy transportation problem. We solved a numerical example to get optimal solution.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. Zadeh, L.: Fuzzy sets. Inf. Comput. 8, 338–353 (1965)

    MATH  Google Scholar 

  2. Atanssov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 87–96 (1986)

    Article  Google Scholar 

  3. Eulalia, S., Kacprzyk, J.: Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst. 114, 505–518 (2000)

    Article  MathSciNet  Google Scholar 

  4. Jahir, H., Senthil, K.: Algorithmic approach for solving intuitionistic fuzzy transportation problem. Int. J. Pure Appl. Math. 92, 181–190 (2013)

    MATH  Google Scholar 

  5. Jahir, H., Senthil, K.: An optimal more-for-less solution of mixed constraint intutionistic fuzzy transportation problems. Int. J. Contempary Math. Sci. 8, 565–576 (2013)

    Article  Google Scholar 

  6. Singh, S., Yadav, S.: Efficient approach for solving type-1 intuitionistic fuzzy transportation problem. Int. J. Syst. Assur. Eng. Manag. (2014). https://doi.org/10.1007/SI3198-014-0274-X

  7. Kumar, P., Hussain, R.: A systematic approach for solving mixedd intuitionistic fuzzy transportation problem. Int. J. Pure Appl. Math. 92, 201–209 (2014)

    Google Scholar 

  8. Ahemed, N., Khan, A.: Solution of mixed type transportation problem: A fuzzy approach. Automatica Di Calculatore 11, 20–31 (2015)

    Google Scholar 

  9. Pandian, P., Natrajan, G.: A new algorithm for finding a fuzzy optimal solution for fuzzy transportation problems. Appl. Math. Sci. 4(2017), 79–90 (2017)

    Google Scholar 

  10. Ghadle, K., Pathade, P.: An Improvement to one’s BCM for the balanced and unbalanced transshipment problems by using fuzzy numbers. In: Trends in Mathematics. Springer (2018) (Accepted)

    Google Scholar 

  11. Pathade, P., Ghadle, K.: Transportation problem with triangular mixed intuitionistic mixed fuzzy numbers solved by BCM. Int. J. Fuzzy Math. Arch. 15, 55–61 (2018)

    Google Scholar 

  12. Burillo, P., Bustince, H., Mohendano, V.: Some definitions of intuitionistic fuzzy number in: fuzzy based expert systems. In: Fuzzy Bulgarian Enthusiasts, Sofia, Bulgaria, pp. 28–30 (1994)

    Google Scholar 

  13. Atanssov, K.: More on intuitionistic fuzzy sets. Fuzzy Sets Syst. 33, 37–46 (1989)

    Article  MathSciNet  Google Scholar 

  14. Kacprzyk, J.: Multistage Fuzzy Control. Wiley, Chichester (1997)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University, Aurangabad, 431004, India

    Priyanka A. Pathade, Kirtiwant P. Ghadle & Ahmed A. Hamoud

Authors
  1. Priyanka A. Pathade
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Kirtiwant P. Ghadle
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Ahmed A. Hamoud
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Priyanka A. Pathade .

Editor information

Editors and Affiliations

  1. Department of Electronics and Telecommunication Engineering, Dr. Babasaheb Ambedkar Technological University, Lonere, Maharashtra, India

    Brijesh Iyer

  2. Department of Computer Engineering, Dr. Babasaheb Ambedkar Technological University, Lonere, Maharashtra, India

    P. S. Deshpande

  3. Department of Electronics and Computer Engineering, Indian Institute of Technology Roorkee, Roorkee, Uttarakhand, India

    S. C. Sharma

  4. Deogiri Institute of Engineering and Management Studies, Aurangabad, Maharashtra, India

    Ulhas Shiurkar

Rights and permissions

Reprints and permissions

Copyright information

© 2020 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Pathade, P.A., Ghadle, K.P., Hamoud, A.A. (2020). Optimal Solution Solved by Triangular Intuitionistic Fuzzy Transportation Problem. In: Iyer, B., Deshpande, P., Sharma, S., Shiurkar, U. (eds) Computing in Engineering and Technology. Advances in Intelligent Systems and Computing, vol 1025. Springer, Singapore. https://doi.org/10.1007/978-981-32-9515-5_36

Download citation

Publish with us

Policies and ethics

Search

Navigation