USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM

Hale Gonce Köçken; Fatma Tiryaki

USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM

Abstract

Using fuzzy aggregation operators, compensatory fuzzy approaches can be proposed for multi-objective problems. The variety of operators for the aggregation of objectives might be confusing and might make it difficult to decide which one to apply to the problem. For example while Zimmermann’s “min” operator provides numerical efficiency, it does not guarantee compensatory and Pareto-optimality. In this paper, we present brief information about some important compensatory fuzzy aggregation operators and then apply them to the Multi-objective Linear Transportation Problem (MOLTP) to obtain a compensatory compromise Pareto-optimal solution set. And an illustrative example is provided to compare these aggregation operators and to conclude which operator is more appropriate for the concerning problem.

Keywords

References

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Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Hale Gonce Köçken This is me
Türkiye

Fatma Tiryaki This is me
Türkiye

Publication Date

December 1, 2014

Submission Date

September 23, 2013

Acceptance Date

September 20, 2014

Published in Issue

Year 2014 Volume: 32 Number: 4

IZ

https://izlik.org/JA53WE34SM

Cite

RIS / Bibtex

APA

Gonce Köçken, H., & Tiryaki, F. (2014). USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM. Sigma Journal of Engineering and Natural Sciences, 32(4), 399-421. https://izlik.org/JA53WE34SM

AMA

1.Gonce Köçken H, Tiryaki F. USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM. SIGMA. 2014;32(4):399-421. https://izlik.org/JA53WE34SM

Chicago

Gonce Köçken, Hale, and Fatma Tiryaki. 2014. “USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM”. Sigma Journal of Engineering and Natural Sciences 32 (4): 399-421. https://izlik.org/JA53WE34SM.

EndNote

Gonce Köçken H, Tiryaki F (December 1, 2014) USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM. Sigma Journal of Engineering and Natural Sciences 32 4 399–421.

IEEE

[1]H. Gonce Köçken and F. Tiryaki, “USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM”, SIGMA, vol. 32, no. 4, pp. 399–421, Dec. 2014, [Online]. Available: https://izlik.org/JA53WE34SM

ISNAD

Gonce Köçken, Hale - Tiryaki, Fatma. “USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM”. Sigma Journal of Engineering and Natural Sciences 32/4 (December 1, 2014): 399-421. https://izlik.org/JA53WE34SM.

JAMA

1.Gonce Köçken H, Tiryaki F. USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM. SIGMA. 2014;32:399–421.

MLA

Gonce Köçken, Hale, and Fatma Tiryaki. “USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM”. Sigma Journal of Engineering and Natural Sciences, vol. 32, no. 4, Dec. 2014, pp. 399-21, https://izlik.org/JA53WE34SM.

Vancouver

1.Hale Gonce Köçken, Fatma Tiryaki. USING SOME FUZZY AGGREGATION OPERATORS FOR MULTI-OBJECTIVE LINEAR TRANSPORTATION PROBLEM. SIGMA [Internet]. 2014 Dec. 1;32(4):399-421. Available from: https://izlik.org/JA53WE34SM