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A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers

Author

Listed:
  • Saeid Jafarzadeh Ghoushchi

    (Faculty of Industrial Engineering, Urmia University of Technology, Urmia 57166, Iran)

  • Elnaz Osgooei

    (Faculty of Science, Urmia University of Technology, Urmia 57166, Iran)

  • Gholamreza Haseli

    (Department of Management, Faculty of Economic, Management and Social Science, Shiraz University, Shiraz 71345, Iran)

  • Hana Tomaskova

    (Faculty of Informatics and Management, University of Hradec Kralove, 500 06 Hradec Kralove, Czech Republic)

Abstract

Recently, new methods have been recommended to solve fully fuzzy linear programming (FFLP) issues. Likewise, the present study examines a new approach to solve FFLP issues through fuzzy decision parameters and variables using triangular fuzzy numbers. The strategy, which is based on alpha-cut theory and modified triangular fuzzy numbers, is suggested to obtain the optimal fully fuzzy solution for real-world problems. In this method, the problem is considered as a fully fuzzy problem and then is solved by applying the new definition presented for the triangular fuzzy number to optimize decision variables and the objective function. Several numerical examples are solved to illustrate the above method.

Suggested Citation

  • Saeid Jafarzadeh Ghoushchi & Elnaz Osgooei & Gholamreza Haseli & Hana Tomaskova, 2021. "A Novel Approach to Solve Fully Fuzzy Linear Programming Problems with Modified Triangular Fuzzy Numbers," Mathematics, MDPI, vol. 9(22), pages 1-13, November.
    • Handle: RePEc:gam:jmathe:v:9:y:2021:i:22:p:2937-:d:681827
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    Cited by:

    1. Haseli, Gholamreza & Yaran Ögel, İlkin & Ecer, Fatih & Hajiaghaei-Keshteli, Mostafa, 2023. "Luxury in female technology (FemTech): Selection of smart jewelry for women through BCM-MARCOS group decision-making framework with fuzzy ZE-numbers," Technological Forecasting and Social Change, Elsevier, vol. 196(C).
    2. Mohammad Ahmad & Weihu Cheng, 2022. "A Novel Approach of Fuzzy Control Chart with Fuzzy Process Capability Indices Using Alpha Cut Triangular Fuzzy Number," Mathematics, MDPI, vol. 10(19), pages 1-15, September.
    3. Dineswary Nadarajan & Saber Abdelall Mohamed Ahmed & Noor Fadiya Mohd Noor, 2023. "Seaport Network Efficiency Measurement Using Triangular and Trapezoidal Fuzzy Data Envelopment Analyses with Liner Shipping Connectivity Index Output," Mathematics, MDPI, vol. 11(6), pages 1-27, March.
    4. Xunqian Xu & Siwen Wang & Fengyi Kang & Shue Li & Qi Li & Tao Wu, 2024. "Multi-Attribute Decision-Making Method in Preventive Maintenance of Asphalt Pavement Based on Optimized Triangular Fuzzy Number," Sustainability, MDPI, vol. 16(7), pages 1-20, March.
    5. Aliviya Bhowmick & Snehashish Chakraverty & Subhashish Chatterjee, 2024. "Parametric Optimization for Fully Fuzzy Linear Programming Problems with Triangular Fuzzy Numbers," Mathematics, MDPI, vol. 12(19), pages 1-18, September.

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