TARU PUBLICATIONS
Journal of Information and Optimization Sciences cover
Open Access ·Peer-reviewed·ISSN (Online): 2169-0103·ISSN (Print): 0252-2667
Powered by:DOICrossrefiThenticate

The Journal of Information and Optimization Sciences (JIOS) is a world leading journal publishing high quality, rigorously peer-reviewed original research in all mathematically-oriented theoretical and applied topics in information sciences, optimization sciences and related areas since 1980. Subjects include but are not limited to: • Information Sciences • Optimization Sciences • Control Theory • Operational Research • Decision Sciences • Information Theory • Information Technology • Computer Networks and Communications • Mathematical Programming • Modelling and Simulation • Database Management • Applications to Engineering Sciences • Applications to Technology

Issues up to 2022 co-published with and available at:Taylor & Francis
submissions@tarupublications.com
Open Access Research Article

An approach for determining the best solution for intutionistic fuzzy transportation problem

, * , , ,

* Corresponding author · click or hover a name for details

pp. 1867–1879Vol. 45Issue 7October 2024DOI: 10.47974/JIOS-1739XML
Received:
09 Apr 2024
Published Online:
01 Oct 2024
Article type:
Research Article
Language:
EN
Article no.:
JIOS-1739
Pages:
1867–1879

Abstract

The research study determines the best optimal solution to a usual kind of optimization issue which is known as problem of intuitionistic fuzzy transportation using triangular fuzzy values. The triangular values in terms of fuzzy show the utility of the worth or the prices, supply, requirement, request, order and demand for solving the problems of transportation in terms of fuzzy values. The major motive of this study is to obtain the lowest entire transportation worth of commodities which fulfils the requirements of the consumers from different origins to the different landing places. For this, an approach named Vogel’s Approximation Method is implementing for getting desired answer.

Keywords

Subject Classifications

03E7297P80

References

[1] F. L. Hitchcock, “The distribution of a product from several sources to numerous localities,” Journal of Mathematics and Physics, vol. 20, no. 1-4, pp. 224–230 (1941).[2] N. V. Reinfeld and W. R. Vogel, Mathematical Programming, Prentice-Hall, Englewood Cliffs, pp. 59–70 (1958).[3] L. A. Zadeh, “Fuzzy sets,” Information and Control, vol. 8, no. 3, pp. 338–353 (1965).[4] S. Chanas and D. Kuchta, “A concept of the optimal solution of the transportation problem with fuzzy cost coefficients,” Fuzzy Sets and Systems, vol. 82, no. 3, pp. 299–305 (1996).[5] K. T. Atanassov, “Intuitionistic Fuzzy Sets,” Fuzzy Sets and Systems, vol. 20, no. 1, pp. 87–89 (1986).[6] R. J. Hussain and P. S. Kumar, “Algorithmic approach for solving intuitionistic fuzzy transportation problem,” Applied Mathematical Sciences, vol. 6, no. 80, pp. 3981–3989 (2012).[7] A. N. Gani and S. A. Abbas, “A new method for solving intuitionistic fuzzy transportation problem,” Applied Mathematical Sciences, vol. 7, no. 28, pp. 1357–1365 (2013).[8] R. J. P. Antony, S. J. Savarimuthu, and T. Pathinathan, “Method for solving the transportation problem using triangular intuitionistic fuzzy number,” International Journal of Computing Algorithm, vol. 3, no. 1, pp. 590–605 (2014).[9] S. K. Singh and S. P. Yadav, “Efficient approach for solving type-1 intuitionistic fuzzy transportation problem,” International Journal of System Assurance Engineering and Management, vol. 6, pp. 259–267 (2015).[10] R. J. P. Antony, S. J. Savarimuthu, and T. Pathinathan, “Method for solving the transportation problem using triangular intuitionistic fuzzy number,” International Journal of Computing Algorithm, vol. 3, no. 1, pp. 590–605 (2014).[11] A. Ebrahimnejad and J. L. Verdegay, “An efficient computational approach for solving type-2 intuitionistic fuzzy numbers based transportation problems,” International Journal of Computational Intelligence Systems, vol. 9, no. 6, pp. 1154–1173 (2016).[12] S. K. Singh and S. P. Yadav, “A novel approach for solving fully intuitionistic fuzzy transportation problem,” International Journal of Operational Research, vol. 26, no. 4, pp. 460–472 (2016).[13] M. A. Christi and B. Kasthuri, “Transportation Problem with Pentagonal Intuitionistic Fuzzy Numbers Solved Using Ranking Technique and Russell’s Method,” International Journal of Engineering Research and Applications, vol. 6, no. 2, pp. 82–86 (2016).[14] S. K. Bharati and R. Malhotra, “Two stage intuitionistic fuzzy time minimizing transportation problem based on generalized Zadeh’s extension principle,” International Journal of System Assurance Engineering and Management, vol. 8, pp. 1442–1449 (2017).[15] G. Gupta and K. Anupum, “An efficient method for solving intuitionistic fuzzy transportation problem of type-2,” International Journal of Applied and Computational Mathematics, vol. 3, pp. 3795–3804 (2017).[16] S. K. Roy, A. Ebrahimnejad, J. L. Verdegay, and S. Das, “New approach for solving intuitionistic fuzzy multi-objective transportation problem,” Sādhanā, vol. 43, pp. 1–12 (2018).[17] A. Mahmoodirad, T. Allahviranloo, and S. Niroomand, “A new effective solution method for fully intuitionistic fuzzy transportation problem,” Soft Computing, vol. 23, no. 12, pp. 4521–4530 (2019).[18] P. S. Kumar, “Intuitionistic fuzzy zero point method for solving type-2 intuitionistic fuzzy transportation problem,” International Journal of Operational Research, vol. 37, no. 3, pp. 418–451 (2020).[19] H. Y. Wu, G. H. Tzeng, and Y. H. Chen, “A fuzzy MCDM approach for evaluating banking performance based on balanced scorecard,” Expert Systems with Applications, vol. 36, pp. 10135–10147 (2009).[20] R. Agarwal, A. Agrawal, N. Kumar, M. A. Shah, P. Jawla, and S. Priyan, “Benchmarking the Interactions among Green and Sustainable Vendor-Selection Attributes,” Advances in Operations Research, vol. 2022, Article ID 8966856, 11 pages (2022). https://doi.org/10.1155/2022/8966856.[21] K. Karagul and Y. Sahin, “A novel approximation method to obtain initial basic feasible solution of transportation problem,” Journal of King Saud University – Engineering Sciences, vol. 33, pp. 211–218 (2020).[22] D. Chhibber, P. K. Srivastava, and D. C. Bisht, “From fuzzy transportation problem to non-linear intuitionistic fuzzy multi-objective transportation problem: A literature review,” International Journal of Modeling and Simulation, vol. 41, pp. 335–350 (2021).[23] J. S. Ahmed, H. J. Mohammed, and I. Z. Chaloob, “Application of a fuzzy multi-objective defuzzification method to solve a transportation problem,” Materials Today Proceedings (2021).[24] K. Zhu, K. Ji, and J. Shen, “A fixed charge transportation problem with damageable items under uncertain environment,” Physica A: Statistical Mechanics and its Applications, vol. 581, Article 126234 (2021).[25] D. Mardanya and S. K. Roy, “New approach to solve fuzzy multi-objective multi-item solid transportation problem,” RAIRO - Operations Research, vol. 57, no. 1, pp. 99–120 (2023).
Views: 208Downloads: 8Citations: 0