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Intuitionistic fuzzy transportation problem with various kinds of uncertainties in parameters and variables

Sujeet Kumar Singh () and Shiv Prasad Yadav ()
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Sujeet Kumar Singh: Indian Institute of Technology Roorkee
Shiv Prasad Yadav: Indian Institute of Technology Roorkee

International Journal of System Assurance Engineering and Management, 2016, vol. 7, issue 3, No 4, 262-272

Abstract: Abstract In real-life decisions usually we have to suffer through different states of uncertainties. In this article, we formulate a transportation problem in which costs, supplies and demands all are different types of real, fuzzy or intuitionistic fuzzy numbers that is the data has different types of uncertainties. We propose a ranking procedure for intuitionistic fuzzy numbers. Using the proposed ranking function intuitionistic fuzzy methods are proposed to find starting basic feasible solution in terms of trapezoidal intuitionistic fuzzy numbers. Intuitionistic fuzzy modified distribution method is proposed to find optimal solution. We illustrate the methodology by numerical examples.

Keywords: Trapezoidal intuitionistic fuzzy number; Accuracy function; Integral value; Mixed intuitionistic fuzzy transportation problem (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s13198-016-0456-9

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