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Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method

Author

Listed:
  • Seyed Hossein Razavi Hajiagha

    (Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran)

  • Hannan Amoozad Mahdiraji

    (Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran)

  • Edmundas Kazimieras Zavadskas

    (Research Institute of Smart Building Technologies, Vilnius Gediminas Technical University, Saulètekio al.11, LT-10223, Vilnius, Lithuania)

  • Shide Sadat Hashemi

    (Department of Management, Kashan Branch, Islamic Azad University, Kashan, Iran)

Abstract

Real-world decision-making problems often consist in considering multiple and antithetic objectives. Therefore, multi-objective decision making (MODM) is a practical framework in implicational areas. In this paper, a fuzzy MODM problem is considered, where all of its parameters are defined fuzzily, and a solution inspired by multi-attribute VIKOR method is proposed. The proposed method tries to find fuzzy efficient solution for a problem by minimizing its combinational distance from an ideal and anti-ideal solution. This method can reveal the efficient frontier of the problem. Applicability of the proposed method is shown in an illustrative example and its application is summarized in an investment problem. Both examples show applicability of the proposed method.

Suggested Citation

  • Seyed Hossein Razavi Hajiagha & Hannan Amoozad Mahdiraji & Edmundas Kazimieras Zavadskas & Shide Sadat Hashemi, 2014. "Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 13(04), pages 679-698.
    • Handle: RePEc:wsi:ijitdm:v:13:y:2014:i:04:n:s0219622014500667
    DOI: 10.1142/S0219622014500667
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    Citations

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    Cited by:

    1. Edmundas Kazimieras Zavadskas & Abbas Mardani & Zenonas Turskis & Ahmad Jusoh & Khalil MD Nor, 2016. "Development of TOPSIS Method to Solve Complicated Decision-Making Problems — An Overview on Developments from 2000 to 2015," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 15(03), pages 645-682, May.
    2. Virgilio López-Morales & Joel Suárez-Cansino, 2017. "Reliable Intervals Method in Decision-Based Support Models for Group Decision-Making," International Journal of Information Technology & Decision Making (IJITDM), World Scientific Publishing Co. Pte. Ltd., vol. 16(01), pages 183-204, January.

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