A Grey Transportation Problem in Fuzzy Environment

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NASSERI S.H.; KHABIRI B.

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Journal: Journal of Operational Research in its Applications Year:2019 | Volume:16 | Issue:3 (62) Page(s): 111-122

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Title

A Grey Transportation Problem in Fuzzy Environment

Author(s)

NASSERI S.H. | KHABIRI B. | Issue Writer Certificate

Keywords

Transportation ProblemQ1

Grey NumbersQ1

Fuzzy NumbersQ3

ModelingQ2

UncertaintyQ1

WhiteningQ1

Abstract

In classical transport models, it is always assumed that parameters such as the distance from each supply node to each demand node or the cost of transferring goods from one node to another, as well as quantities such as supply and demand are definite and definite amounts. But in real matters, considering these assumptions is not logical. On the other hand, there may be a real problem in mathematical Modeling with a variety of ambiguities in data simultaneously. In this paper, we consider a transport problem in which two types of fuzzy and grey data appear simultaneously. In the model under study, it is assumed that the coefficients of the grey objective function and the fuzzy supply and demand quantities are assumed. In this paper, we prove that by Whitening Grey Numbers and defuzzification of the Fuzzy Numbers, the original problem can be turned into a crisp transport problem. Finally, with a numerical example, we describe the proposed method.

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APA: Copy

NASSERI, S.H., & KHABIRI, B.. (2019). A Grey Transportation Problem in Fuzzy Environment. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), 16(3 (62) ), 111-122. SID. https://sid.ir/paper/164599/en

Vancouver: Copy

NASSERI S.H., KHABIRI B.. A Grey Transportation Problem in Fuzzy Environment. JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS)[Internet]. 2019;16(3 (62) ):111-122. Available from: https://sid.ir/paper/164599/en

IEEE: Copy

S.H. NASSERI, and B. KHABIRI, “A Grey Transportation Problem in Fuzzy Environment,” JOURNAL OF OPERATIONAL RESEARCH AND ITS APPLICATIONS (JOURNAL OF APPLIED MATHEMATICS), vol. 16, no. 3 (62) , pp. 111–122, 2019, [Online]. Available: https://sid.ir/paper/164599/en

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