Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method

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

doi:10.1142/s0219622014500667

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 journal › Article › peer-review

18 Citations (Scopus)

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.

Original language	English
Journal	International Journal of Information Technology & Decision Making
Volume	13
Issue number	4
DOIs	https://doi.org/10.1142/s0219622014500667
Publication status	Published - 16 May 2014
Externally published	Yes

Keywords

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

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10.1142/s0219622014500667

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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.",

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AU - Hajiagha, Seyed Hossein Razavi

AU - Amoozad Mahdiraji, Hannan

AU - Zavadskas, Edmundas Kazimieras

AU - Hashemi, Shide Sadat

PY - 2014/5/16

Y1 - 2014/5/16

N2 - 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.

AB - 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.

KW - Fuzzy multi-objective programming

KW - fuzzy variables

KW - VIKOR method

KW - fuzzy efficient solution

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DO - 10.1142/s0219622014500667

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JO - International Journal of Information Technology and Decision Making

JF - International Journal of Information Technology and Decision Making

SN - 0219-6220

IS - 4

ER -

Fuzzy Multi-Objective Linear Programming Based on Compromise VIKOR Method

Abstract

Keywords

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