Open Access
Optimization Framework for Intuitionistic Fuzzy Transportation Problem Solutions
4
Department of Cybersecurity, Saudi Institute of Computing and Information Security, Riyadh, Saudi Arabia
Abstract
Transportation problems constitute a fundamental class of optimization models for determining cost-effective allocation of commodities from multiple sources to multiple destinations. Conventional transportation models, however, generally assume that transportation costs, supply capacities, and destination requirements are known precisely. Such assumptions are often unrealistic when decision-makers operate with incomplete, ambiguous, or hesitant information. Intuitionistic fuzzy sets provide a suitable mathematical environment for representing both membership and non-membership information and therefore offer greater flexibility than conventional fuzzy representations. This paper develops an optimization framework for determining effective solutions to intuitionistic fuzzy transportation problems. The proposed framework integrates intuitionistic fuzzy representation, normalization, ranking-based comparison, initial feasible solution construction, and iterative optimization. The methodological design is positioned within the existing literature on triangular, type-2, fully intuitionistic, multi-objective, and specialized transportation models. Particular attention is given to the computational requirements of converting intuitionistic fuzzy transportation parameters into comparable decision values while retaining uncertainty information as far as practically possible. A hypothetical transportation scenario is used to demonstrate the functional logic of the framework. The analysis indicates that an integrated optimization procedure can improve solution consistency, facilitate comparison among competing transportation plans, and provide a more systematic basis for decision-making under uncertainty. The framework also highlights important limitations associated with defuzzification, ranking sensitivity, computational complexity, and the loss of some uncertainty information during numerical transformation.
Keywords
Intuitionistic Fuzzy Sets,
Transportation Problem,
Optimization Framework
References
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).
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).
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).
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).
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).
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).
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).
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).
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).
P. S. Kumar, “Intuitionistic fuzzy zero point method for solving type2 intuitionistic fuzzy transportation problem,” International Journal of Operational Research, vol. 37, no. 3, pp. 418–451 (2020).
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).
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).
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).
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).
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).
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).
Most read articles by the same author(s)
- Dr. Mariam Al-Falasi, Dr. Tao Zhang, AUGMENTING SIEM WITH THREAT INTELLIGENCE FOR PREDICTIVE CYBER DEFENSE: A PROACTIVE THREAT HUNTING APPROACH , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 03 (2025): Volume 02 Issue 03
- Haruto Nakamura, Yui Takahashi, Adaptive Authentication Framework for Agentic AI Ecosystems: Protocol Design, Trust Evaluation, and Security Analysis , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 09 (2026): Volume 03 Issue 09
- Nguyen Minh Khoa, Tran Thi Lan Anh, Strategic Business Transformation through Data Analytics, Sustainable Practices, and Innovation Management , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 09 (2026): Volume 03 Issue 09
- Dr. Tanvi Das, James D. Walker, A FEDERATED MULTI-MODAL SYSTEM FOR INSIDER THREAT DETECTION IN ENERGY INFRASTRUCTURE USING BIOMETRIC AND CYBER DATA , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 01 (2025): Volume 02 Issue 01
- Julia H. Whitaker, PROACTIVE CYBER THREAT HUNTING AND PREDICTIVE INTELLIGENCE IN CLOUD-ENABLED CRITICAL INFRASTRUCTURE: AN INTEGRATED FRAMEWORK FOR RESILIENT DIGITAL ECOSYSTEMS , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 02 (2026): Volume 03 Issue 02
- Prof. Emily Zhang, Luca Romano, DEFENDING AGAINST EVOLVING CYBER THREATS: A HYBRID FRAMEWORK FOR ATTACK PATTERN ANALYSIS AND INTELLIGENCE INTEGRATION , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 04 (2025): Volume 02 Issue 04
- Chinedu Okafor, Amina Yusuf Bello, A Strategic HR Framework for Reducing Employee Attrition and Enhancing Talent Acquisition in the Indian Banking Sector , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 09 (2026): Volume 03 Issue 09
- John M. Callahan, Advancing Cyber Threat Intelligence Frameworks: Integrative Models, Sharing Mechanisms, and Predictive Analytics , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 07 (2025): Volume 02 Issue 07
- Dr. Rohan Deshmukh, ARCHITECTING A ROBUST CYBER THREAT INTELLIGENCE CAPABILITY: A COMPREHENSIVE FRAMEWORK , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 02 (2025): Volume 02 Issue 02
- Dr. Marcus Fletcher, Dr. Elena Novak, ASSESSING AND ENSURING CYBERSECURITY AND RESILIENCE IN HEALTHCARE: A RISK AND CONFORMITY FRAMEWORK , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 1 No. 01 (2024): Volume 01 Issue 01
Similar Articles
- Dr. Elena Petrova, Research on Unusual Transmission Pattern Recognition in Telecommunication Infrastructure Using Fuzzy Equation Approach , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 04 (2026): Volume 03 Issue 04
- Prof. Daniel M. Hughes, A HYBRID SECURE SPECTRUM ALLOCATION FRAMEWORK FOR SPACE-DIVISION MULTIPLEXING ELASTIC OPTICAL NETWORKS , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 01 (2025): Volume 02 Issue 01
- Julia H. Whitaker, PROACTIVE CYBER THREAT HUNTING AND PREDICTIVE INTELLIGENCE IN CLOUD-ENABLED CRITICAL INFRASTRUCTURE: AN INTEGRATED FRAMEWORK FOR RESILIENT DIGITAL ECOSYSTEMS , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 02 (2026): Volume 03 Issue 02
- Dr. Arjun Pratap Singh, Dr. Neha Verma, Research on Unusual Transmission Pattern Recognition in Telecommunication Infrastructure Using Fuzzy Equation Approach , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 04 (2026): Volume 03 Issue 04
- Dr. Nguyen Van Minh, Dr. Tran Thi Lan, Cross-Layer Protocol Design and Integration Strategies for IoT and IoRT Convergence: An Analytical Review of Enabling Technologies, Challenges, and Emerging Solutions , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 08 (2026): Volume 03 Issue 08
- Muhammad Rizki Pratama, Siti Nurhaliza Putri, Deep Graph Learning Architecture for Real-Time Cyber Threat Identification and Detection in Cloud Platforms , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 08 (2026): Volume 03 Issue 08
- Aghasi Gevorgyan, Automation of Compliance Control Processes According to PCI DSS Standards in Hybrid Cloud Environments , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 04 (2026): Volume 03 Issue 04
- Dr. Lin K. Chen, A Novel Energy-Efficient and Secure Opportunistic Routing Protocol for Data Transmission in Wireless Sensor Networks , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 06 (2026): Volume 03 Issue 06
- Dr. Chinedu Okafor, Dr. Aisha Bello, An Intelligent Risk-Aware Security Framework for Detection and Prevention of Cyber Attacks on Critical Power Grid Infrastructure in Nigeria’s Electricity Sector , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 3 No. 08 (2026): Volume 03 Issue 08
- Dr. Alistair C. Finch, From Reactive to Predictive: A Framework for Integrating Threat Intelligence with SIEM for Proactive Threat Hunting , International Journal of Cyber Threat Intelligence and Secure Networking: Vol. 2 No. 10 (2025): Volume 02 Issue 10
1-10 of 41
Next
You may also start an advanced similarity search for this article.