Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method

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

International Journal of Information Technology & Decision Making (IJITDM), 2014, vol. 13, issue 04, 679-698

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.

Keywords: Fuzzy multi-objective programming; fuzzy variables; VIKOR method; fuzzy efficient solution; 90C29; 90C70 (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1142/S0219622014500667

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