Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method

Seyed Hossein Razavi Hajiagha, Hannan Amoozad Mahdiraji, Edmundas Kazimieras Zavadskas, Shide Sadat Hashemi

Research output: Contribution to journalArticlepeer-review

23 Citations (Scopus)


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.
Original languageEnglish
JournalInternational Journal of Information Technology & Decision Making
Issue number4
Publication statusPublished - 16 May 2014
Externally publishedYes


  • Fuzzy multi-objective programming
  • fuzzy variables
  • VIKOR method
  • fuzzy efficient solution


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